Author | Title | Year | Journal/Proceedings | Reftype | DOI/URL |
---|---|---|---|---|---|
Jeandel, E. and Rolin, N. | Fixed Parameter Undecidability for Wang Tilesets [BibTeX] |
2012 | Proceedings 18th international workshop on Cellular Automata and Discrete Complex Systems and 3rd international symposium Journées Automates Cellulaires, AUTOMATA & JAC 2012, La Marana, Corsica, September 19-21, 2012., pp. 69-85 | inproceedings | DOI URL |
BibTeX:
@inproceedings{JeandelRolin2012, author = {Emmanuel Jeandel and Nicolas Rolin}, title = {Fixed Parameter Undecidability for Wang Tilesets}, booktitle = {Proceedings 18th international workshop on Cellular Automata and Discrete Complex Systems and 3rd international symposium Journées Automates Cellulaires, AUTOMATA & JAC 2012, La Marana, Corsica, September 19-21, 2012.}, year = {2012}, pages = {69--85}, url = {https://doi.org/10.4204/EPTCS.90.6}, doi = {https://doi.org/10.4204/EPTCS.90.6} } |
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Kari, J. | The Tiling Problem Revisited [BibTeX] |
2007 | Vol. 4664MCU, pp. 72-79 |
inproceedings | |
BibTeX:
@inproceedings{Kari2007, author = {Jarkko Kari}, title = {The Tiling Problem Revisited}, booktitle = {MCU}, publisher = {Springer}, year = {2007}, volume = {4664}, pages = {72-79} } |
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Alon, N., Grytczuk, J., Haluszczak, M. and Riordan, O. | Nonrepetitive colorings of graphs [BibTeX] |
2002 | Random Struct. Algorithms Vol. 21(3-4), pp. 336-346 |
article | DOI URL |
BibTeX:
@article{AGHR02, author = {Noga Alon and Jaroslaw Grytczuk and Mariusz Haluszczak and Oliver Riordan}, title = {Nonrepetitive colorings of graphs}, journal = {Random Struct. Algorithms}, year = {2002}, volume = {21}, number = {3-4}, pages = {336--346}, url = {https://doi.org/10.1002/rsa.10057}, doi = {https://doi.org/10.1002/rsa.10057} } |
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Alon, N. and Spencer, J.H. | The probabilistic method [BibTeX] |
2008 | book | ||
BibTeX:
@book{AlonSpencer2008, author = {Noga Alon and Joel H. Spencer}, title = {The probabilistic method}, publisher = {Wiley}, year = {2008} } |
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Arora, S. and Barak, B. | Computational Complexity: A Modern Approach [BibTeX] |
2009 | book | URL | |
BibTeX:
@book{AroraBarak2009, author = {Arora, Sanjeev and Barak, Boaz}, title = {Computational Complexity: A Modern Approach}, publisher = {Cambridge University Press}, year = {2009}, url = {http://books.google.cl/books?id=nGvI7cOuOOQC} } |
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Aubrun, N., Barbieri, S. and Jeandel, E. | About the Domino Problem for Subshifts on Groups [BibTeX] |
2018 | Sequences, Groups, and Number Theory, pp. 331-389 | inbook | DOI URL |
BibTeX:
@inbook{AubrunBarbieriJeandel2018, author = {Aubrun, Nathalie and Barbieri, Sebastián and Jeandel, Emmanuel}, title = {About the Domino Problem for Subshifts on Groups}, booktitle = {Sequences, Groups, and Number Theory}, publisher = {Springer International Publishing}, year = {2018}, pages = {331--389}, url = {https://doi.org/10.1007/978-3-319-69152-7_9}, doi = {https://doi.org/10.1007/978-3-319-69152-7_9} } |
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Aubrun, N., Barbieri, S. and Moutot, E. | The domino problem is undecidable on surface groups [BibTeX] |
2019 | MFCS2019 44th International Symposium on Mathematical Foundations of Computer Science | inproceedings | URL |
BibTeX:
@inproceedings{AubrunBarbieriMoutot2019, author = {Aubrun, Nathalie and Barbieri, Sebastián and Moutot, Etienne}, title = {The domino problem is undecidable on surface groups}, booktitle = {MFCS2019 44th International Symposium on Mathematical Foundations of Computer Science}, year = {2019}, url = {https://hal.archives-ouvertes.fr/hal-02157971} } |
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Aubrun, N., Barbieri, S. and Moutot, E. | The domino problem is undecidable on surface groups [BibTeX] |
2018 | https://arxiv.org/abs/1811.08420 | misc | |
BibTeX:
@misc{AubrunBarbieriMoutotarxiv, author = {Aubrun, Nathalie and Barbieri, Sebastián and Moutot, Etienne}, title = {The domino problem is undecidable on surface groups}, year = {2018} } |
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Aubrun, N., Barbieri, S. and Sablik, M. | A notion of effectiveness for subshifts on finitely generated groups [BibTeX] |
2017 | Theoretical Computer Science Vol. 661, pp. 35-55 |
article | |
BibTeX:
@article{AubrunBarbieriSablik2016, author = {Nathalie Aubrun and Sebastián Barbieri and Mathieu Sablik}, title = {A notion of effectiveness for subshifts on finitely generated groups}, journal = {Theoretical Computer Science}, year = {2017}, volume = {661}, pages = {35-55} } |
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Aubrun, N., Barbieri, S. and Thomassé, S. | Realization of aperiodic subshifts and uniform densities in groups [BibTeX] |
2018 | Groups, Geometry, and Dynamics Vol. 13(1), pp. 107-129 |
article | DOI URL |
BibTeX:
@article{AubrunBarbieriThomasse2018, author = {Nathalie Aubrun and Sebastián Barbieri and Stéphan Thomassé}, title = {Realization of aperiodic subshifts and uniform densities in groups}, journal = {Groups, Geometry, and Dynamics}, publisher = {European Mathematical Publishing House}, year = {2018}, volume = {13}, number = {1}, pages = {107--129}, url = {https://doi.org/10.4171/ggd/487}, doi = {https://doi.org/10.4171/ggd/487} } |
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Aubrun, N., Esnay, J. and Sablik, M. | Domino Problem Under Horizontal Constraints [BibTeX] |
2020 | 37th International Symposium on Theoretical Aspects of Computer Science (STACS 2020) | inproceedings | DOI URL |
BibTeX:
@inproceedings{AubrunEsnaySablik2020, author = {Nathalie Aubrun and Julien Esnay and Mathieu Sablik}, title = {Domino Problem Under Horizontal Constraints}, booktitle = {37th International Symposium on Theoretical Aspects of Computer Science (STACS 2020)}, year = {2020}, url = {https://drops.dagstuhl.de/opus/volltexte/2020/11887}, doi = {https://doi.org/10.4230/LIPIcs.STACS.2020.26} } |
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Aubrun, N. and Kari, J. | Tiling Problems on Baumslag-Solitar groups. [BibTeX] |
2013 | Vol. 128rm Proceedings Machines, Computations and Universality 2013, rm Zürich, Switzerland, 9/09/2013 - 11/09/2013, pp. 35-46 |
inproceedings | DOI |
BibTeX:
@inproceedings{AubrunKari2013, author = {Aubrun, Nathalie and Kari, Jarkko}, title = {Tiling Problems on Baumslag-Solitar groups.}, booktitle = {rm Proceedings Machines, Computations and Universality 2013, rm Zürich, Switzerland, 9/09/2013 - 11/09/2013}, publisher = {Open Publishing Association}, year = {2013}, volume = {128}, pages = {35-46}, doi = {https://doi.org/10.4204/EPTCS.128.12} } |
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Aubrun, N. and Sablik, M. | Simulation of Effective Subshifts by Two-dimensional Subshifts of Finite Type [BibTeX] |
2013 | Acta Applicandae Mathematicae Vol. 126(1), pp. 35-63 |
article | DOI URL |
BibTeX:
@article{AubrunSablik2010, author = {Aubrun, Nathalie and Sablik, Mathieu}, title = {Simulation of Effective Subshifts by Two-dimensional Subshifts of Finite Type}, journal = {Acta Applicandae Mathematicae}, publisher = {Springer Netherlands}, year = {2013}, volume = {126}, number = {1}, pages = {35-63}, url = {http://dx.doi.org/10.1007/s10440-013-9808-5}, doi = {https://doi.org/10.1007/s10440-013-9808-5} } |
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Aubrun, N. and Sablik, M. | Row-constrained effective sets of colourings in the 2-fold horocyclic tessellations of ℌ^2 are sofic [BibTeX] |
2016 | https://arxiv.org/abs/1602.04061 | misc | |
BibTeX:
@misc{AubrunSablik2016, author = {Nathalie Aubrun and Mathieu Sablik}, title = {Row-constrained effective sets of colourings in the 2-fold horocyclic tessellations of ℌ^2 are sofic}, year = {2016} } |
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Aubrun, N. and Schraudner, M. | Tilings of the hyperbolic plane of substitutive origin as subshifts of finite type on Baumslag-Solitar groups BS(1,n) [BibTeX] |
2020 | https://arxiv.org/abs/2012.11037 | misc | |
BibTeX:
@misc{AubrunSchraudner2020, author = {Nathalie Aubrun and Michael Schraudner}, title = {Tilings of the hyperbolic plane of substitutive origin as subshifts of finite type on Baumslag-Solitar groups BS(1,n)}, year = {2020} } |
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Ballier, A. and Stein, M. | The domino problem on groups of polynomial growth [BibTeX] |
2018 | Groups, Geometry, and Dynamics Vol. 12(1), pp. 93-105 |
article | DOI URL |
BibTeX:
@article{BallierStein2018, author = {Alexis Ballier and Maya Stein}, title = {The domino problem on groups of polynomial growth}, journal = {Groups, Geometry, and Dynamics}, publisher = {European Mathematical Society Publishing House}, year = {2018}, volume = {12}, number = {1}, pages = {93--105}, url = {https://doi.org/10.4171/ggd/439}, doi = {https://doi.org/10.4171/ggd/439} } |
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Barbieri, S. and Sablik, M. | The Domino Problem for Self-similar Structures [BibTeX] |
2016 | Pursuit of the Universal, pp. 205-214 | inproceedings | |
BibTeX:
@inproceedings{BarbieriSablik2017, author = {Barbieri, Sebastián and Sablik, Mathieu}, title = {The Domino Problem for Self-similar Structures}, booktitle = {Pursuit of the Universal}, publisher = {Springer International Publishing}, year = {2016}, pages = {205--214} } |
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Barbieri, S. and Sablik, M. | A generalization of the simulation theorem for semidirect products [BibTeX] |
2019 | Ergodic Theory and Dynamical Systems Vol. 39(12), pp. 3185–3206 |
article | DOI |
BibTeX:
@article{BarbieriSablik2019, author = {Barbieri, Sebastián and Sablik, Mathieu}, title = {A generalization of the simulation theorem for semidirect products}, journal = {Ergodic Theory and Dynamical Systems}, publisher = {Cambridge University Press}, year = {2019}, volume = {39}, number = {12}, pages = {3185–3206}, doi = {https://doi.org/10.1017/etds.2018.21} } |
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Barbieri, S. and Sablik, M. | [BibTeX] |
2020 | personal communication | misc | |
BibTeX:
@misc{BarbieriSablik2020, author = {Barbieri, Sebastián and Sablik, Mathieu}, year = {2020} } |
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Bartholdi, L. | Monadic second-order logic and the domino problem on self-similar graphs [BibTeX] |
2020 | https://arxiv.org/abs/2011.02735 | misc | |
BibTeX:
@misc{Bartholdi2020, author = {Laurent Bartholdi}, title = {Monadic second-order logic and the domino problem on self-similar graphs}, year = {2020} } |
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Bartholdi, L. and Salo, V. | Simulations and the Lamplighter group [BibTeX] |
2020 | https://arxiv.org/abs/2010.14299 | misc | |
BibTeX:
@misc{BartholdiSalo2020, author = {Laurent Bartholdi and Ville Salo}, title = {Simulations and the Lamplighter group}, year = {2020} } |
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Beauquier, D., Muller, D.E. and Schupp, P.E. | The bar problem -- a simple tiling problem which is NP-complete on the Euclidean tessellation by squares but which is polynomial time on the hyperbolic tessellations by 4g-gons, g2 [BibTeX] |
1999 | Contemporary Mathematics Vol. 250, pp. 29-36 |
article | |
BibTeX:
@article{BeauquierMullerSchupp1999, author = {Beauquier, Danièle and Muller, David E. and Schupp, Paul E.}, title = {The bar problem -- a simple tiling problem which is NP-complete on the Euclidean tessellation by squares but which is polynomial time on the hyperbolic tessellations by 4g-gons, g2}, journal = {Contemporary Mathematics}, year = {1999}, volume = {250}, pages = {29--36} } |
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Berger, R. | The Undecidability of the Domino Problem [BibTeX] |
1964 | School: Harvard University | phdthesis | |
BibTeX:
@phdthesis{Berger1964, author = {Robert Berger}, title = {The Undecidability of the Domino Problem}, school = {Harvard University}, year = {1964} } |
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Berger, R. | The Undecidability of the Domino Problem [BibTeX] |
1966 | book | ||
BibTeX:
@book{Berger1966, author = {Berger, Robert}, title = {The Undecidability of the Domino Problem}, publisher = {American Mathematical Society}, year = {1966} } |
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Berger, R. | The Undecidability of the Domino Problem [BibTeX] |
1964 | School: Harvard University | phdthesis | |
BibTeX:
@phdthesis{BergerPhD, author = {Robert Berger}, title = {The Undecidability of the Domino Problem}, school = {Harvard University}, year = {1964} } |
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Bernshteyn, A. | Building large free subshifts using the Local Lemma [BibTeX] |
2019 | Groups, Geometry, and Dynamics | article | |
BibTeX:
@article{Bernshteyn2019, author = {Anton Bernshteyn}, title = {Building large free subshifts using the Local Lemma}, journal = {Groups, Geometry, and Dynamics}, year = {2019} } |
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Bernshteyn, A. | A short proof of Bernoulli disjointness via the Local Lemma [BibTeX] |
to appear | Proceedings of the American Mathematical Society | article | |
BibTeX:
@article{Bernshteyn2020, author = {Anton Bernshteyn}, title = {A short proof of Bernoulli disjointness via the Local Lemma}, journal = {Proceedings of the American Mathematical Society}, year = {to appear} } |
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Block, J. and Weinberger, S. | Aperiodic Tilings, Positive Scalar Curvature, and Amenability of Spaces [BibTeX] |
1992 | Journal of the American Mathematical Society Vol. 5(4), pp. 907-918 |
article | URL |
BibTeX:
@article{BlockWeinberger1992, author = {Jonathan Block and Shmuel Weinberger}, title = {Aperiodic Tilings, Positive Scalar Curvature, and Amenability of Spaces}, journal = {Journal of the American Mathematical Society}, publisher = {American Mathematical Society}, year = {1992}, volume = {5}, number = {4}, pages = {907--918}, url = {http://www.jstor.org/stable/2152713} } |
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Beauquier, D., Nivat, M., Rémila, E. and Robson, M. | Tiling Figures of the Plane with Two Bars [BibTeX] |
1995 | Comput. Geom. Theory Appl. Vol. 5(1), pp. 1–25 |
article | DOI URL |
BibTeX:
@article{BNRR1995, author = {Beauquier, Danièle and Nivat, Maurice and Rémila, Eric and Robson, Mike}, title = {Tiling Figures of the Plane with Two Bars}, journal = {Comput. Geom. Theory Appl.}, publisher = {Elsevier Science Publishers B. V.}, year = {1995}, volume = {5}, number = {1}, pages = {1–25}, url = {https://doi.org/10.1016/0925-7721(94)00015-N}, doi = {https://doi.org/10.1016/0925-7721(94)00015-N} } |
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Boone, W.W. | The word problem [BibTeX] |
1959 | Annals of mathematics Vol. 70, pp. 207-265 |
article | |
BibTeX:
@article{Boone1959, author = {William W. Boone}, title = {The word problem}, journal = {Annals of mathematics}, year = {1959}, volume = {70}, pages = {207--265} } |
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Baumslag, G. and Solitar, D. | Some two-generator one-relator non-Hopfian groups [BibTeX] |
1962 | Bull. Amer. Math. Soc. Vol. 68(3), pp. 199-201 |
article | URL |
BibTeX:
@article{BS1962, author = {Baumslag , Gilbert and Solitar, Donald}, title = {Some two-generator one-relator non-Hopfian groups}, journal = {Bull. Amer. Math. Soc.}, publisher = {American Mathematical Society}, year = {1962}, volume = {68}, number = {3}, pages = {199--201}, url = {https://projecteuclid.org:443/euclid.bams/1183524561} } |
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Carroll, D. and Penland, A. | Periodic points on shifts of finite type andcommensurability invariants of groups [BibTeX] |
2015 | New York Journal of Mathematics Vol. 21, pp. 811-822 |
article | |
BibTeX:
@article{CarrollPenland2015, author = {David Carroll and Andrew Penland}, title = {Periodic points on shifts of finite type andcommensurability invariants of groups}, journal = {New York Journal of Mathematics}, year = {2015}, volume = {21}, pages = {811--822} } |
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Cohen, D.B. | The large scale geometry of strongly aperiodic subshifts of finite type [BibTeX] |
2017 | Advances in Mathematics Vol. 308, pp. 599 - 626 |
article | DOI URL |
BibTeX:
@article{Cohen2017, author = {David Bruce Cohen}, title = {The large scale geometry of strongly aperiodic subshifts of finite type}, journal = {Advances in Mathematics}, year = {2017}, volume = {308}, pages = {599 - 626}, url = {http://www.sciencedirect.com/science/article/pii/S0001870815301912}, doi = {https://doi.org/10.1016/j.aim.2016.12.016} } |
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Cohen, D. | Lamplighters admit weakly aperiodic SFTs [BibTeX] |
2020 | Groups, Geometry, and Dynamics Vol. 14(4), pp. 1241-1252 |
article | DOI URL |
BibTeX:
@article{Cohen2018, author = {David Cohen}, title = {Lamplighters admit weakly aperiodic SFTs}, journal = {Groups, Geometry, and Dynamics}, publisher = {European Mathematical Society - EMS - Publishing House GmbH}, year = {2020}, volume = {14}, number = {4}, pages = {1241--1252}, url = {https://doi.org/10.4171/ggd/579}, doi = {https://doi.org/10.4171/ggd/579} } |
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Cohen, D.B. and Goodman-Strauss, C. | Strongly aperiodic subshifts on surface groups [BibTeX] |
2017 | Groups, Geometry, and Dynamics Vol. 11(3), pp. 1041-1059 |
article | DOI URL |
BibTeX:
@article{CohenGoodmanStrauss2017, author = {David Bruce Cohen and Chaim Goodman-Strauss}, title = {Strongly aperiodic subshifts on surface groups}, journal = {Groups, Geometry, and Dynamics}, publisher = {European Mathematical Publishing House}, year = {2017}, volume = {11}, number = {3}, pages = {1041--1059}, url = {https://doi.org/10.4171/ggd/421}, doi = {https://doi.org/10.4171/ggd/421} } |
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Cohen, D.B., Goodman-Strauss, C. and Rieck, Y. | Strongly aperiodic subshifts of finite type on hyperbolic groups [BibTeX] |
2017 | https://arxiv.org/abs/1706.01387 | misc | |
BibTeX:
@misc{CohenGSRieck2017, author = {David Bruce Cohen and Chaim Goodman-Strauss and Yo'av Rieck}, title = {Strongly aperiodic subshifts of finite type on hyperbolic groups}, year = {2017} } |
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Culik, I.K. | An aperiodic set of 13 Wang tiles [BibTeX] |
1996 | Discrete Mathematics Vol. 160(1-3), pp. 245-251 |
article | |
BibTeX:
@article{Culik1996, author = {Culik, I. K.}, title = {An aperiodic set of 13 Wang tiles}, journal = {Discrete Mathematics}, publisher = {Elsevier Science Publishers B. V.}, year = {1996}, volume = {160}, number = {1-3}, pages = {245--251} } |
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Culik, K. and Kari, J. | An aperiodic set of Wang cubes | 1996 | J.UCS The Journal of Universal Computer Science: Annual Print and CD-ROM Archive Edition Volume 1 textbullet 1995, pp. 675-686 | inbook | DOI URL |
Abstract: We introduce Wang cubes with colored faces that are a generalization of Wang tiles with colored edges. We show that there exists an aperiodic set of 21 Wang cubes, that is, a set for which there exists a tiling of the whole space with matching unit cubes but there exists no periodic tiling. We use the aperiodic set of 13 Wang tiles recently obtained by the first author using the new method developed by the second. Our method can be used to construct an aperiodic set of n-dimensional cubes for any n ≥ 3. | |||||
BibTeX:
@inbook{CulikKari1996, author = {Culik, Karel and Kari, Jarkko}, title = {An aperiodic set of Wang cubes}, booktitle = {J.UCS The Journal of Universal Computer Science: Annual Print and CD-ROM Archive Edition Volume 1 textbullet 1995}, publisher = {Springer Berlin Heidelberg}, year = {1996}, pages = {675--686}, url = {https://doi.org/10.1007/978-3-642-80350-5_57}, doi = {https://doi.org/10.1007/978-3-642-80350-5_57} } |
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Dahmani, F. and Yaman, A. | Symbolic dynamics and relatively hyperbolic groups [BibTeX] |
2008 | Groups, Geometry, and Dynamics Vol. 2(2), pp. 165 - 184 |
article | |
BibTeX:
@article{DahmaniYaman2008, author = {François Dahmani and Asli Yaman}, title = {Symbolic dynamics and relatively hyperbolic groups}, journal = {Groups, Geometry, and Dynamics}, year = {2008}, volume = {2}, number = {2}, pages = {165 - 184} } |
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Machines, Computations, and Universality, 5th International Conference, MCU 2007, Orléans, France, September 10-13, 2007, Proceedings [BibTeX] |
2007 | Vol. 4664MCU |
proceedings | ||
BibTeX:
@proceedings{DBLP:conf/mcu/2007,, title = {Machines, Computations, and Universality, 5th International Conference, MCU 2007, Orléans, France, September 10-13, 2007, Proceedings}, booktitle = {MCU}, publisher = {Springer}, year = {2007}, volume = {4664} } |
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de la Harpe, P. | Topics in Geometric Group Theory [BibTeX] |
2000 | book | ||
BibTeX:
@book{delaHarpe2000, author = {Pierre de la Harpe}, title = {Topics in Geometric Group Theory}, year = {2000} } |
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Destombes, J. and Romashchenko, A. | Resource-Bounded Kolmogorov Complexity Provides an Obstacle to Soficness of Multidimensional Shifts [BibTeX] |
2018 | https://arxiv.org/abs/1805.03929 | misc | |
BibTeX:
@misc{DestombesRomashchenko2018, author = {Julien Destombes and Andrei Romashchenko}, title = {Resource-Bounded Kolmogorov Complexity Provides an Obstacle to Soficness of Multidimensional Shifts}, year = {2018} } |
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Diekert, V., Laun, J. and Ushakov, A. | Efficient algorithms for highly compressed data: the Word Problem in Higman's Group is in P [BibTeX] |
2012 | International Journal of Algebra and Computation Vol. 22(08), pp. 1240008 |
article | DOI URL |
BibTeX:
@article{Diekert2012, author = {Volker Diekert and Jürn Laun and Alexander Ushakov}, title = {Efficient algorithms for highly compressed data: the Word Problem in Higman's Group is in P}, journal = {International Journal of Algebra and Computation}, publisher = {World Scientific Pub Co Pte Lt}, year = {2012}, volume = {22}, number = {08}, pages = {1240008}, url = {https://doi.org/10.1142/s0218196712400085}, doi = {https://doi.org/10.1142/s0218196712400085} } |
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Diestel, R. | A short proof of Halin's grid theorem [BibTeX] |
2004 | Abh. Math. Sem. Univ. Hamburg Vol. 74, pp. 237-242 |
article | |
BibTeX:
@article{Diestel2004, author = {Diestel, Reinhard}, title = {A short proof of Halin's grid theorem}, journal = {Abh. Math. Sem. Univ. Hamburg}, year = {2004}, volume = {74}, pages = {237--242} } |
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Durand, B., Romashchenko, A. and Shen, A. | Effective Closed Subshifts in 1D Can Be Implemented in 2D [BibTeX] |
2010 | Fields of Logic and Computation: Essays Dedicated to Yuri Gurevich on the Occasion of His 70th Birthday, pp. 208-226 | inbook | DOI URL |
BibTeX:
@inbook{DurandRomashchenkoShen2010, author = {Durand, Bruno and Romashchenko, Andrei and Shen, Alexander}, title = {Effective Closed Subshifts in 1D Can Be Implemented in 2D}, booktitle = {Fields of Logic and Computation: Essays Dedicated to Yuri Gurevich on the Occasion of His 70th Birthday}, publisher = {Springer Berlin Heidelberg}, year = {2010}, pages = {208--226}, url = {https://doi.org/10.1007/978-3-642-15025-8_12}, doi = {https://doi.org/10.1007/978-3-642-15025-8_12} } |
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Elek, G. | On uniformly recurrent subgroups of finitely generated groups [BibTeX] |
2017 | https://arxiv.org/abs/1702.01631 | misc | |
BibTeX:
@misc{Elek2017, author = {Gabor Elek}, title = {On uniformly recurrent subgroups of finitely generated groups}, year = {2017} } |
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Esnay, J. and Moutot, E. | Weakly and Strongly Aperiodic Subshifts of Finite Type on Baumslag-Solitar Groups [BibTeX] |
2020 | https://arxiv.org/abs/2004.02534 | misc | |
BibTeX:
@misc{EsnayMoutot2020, author = {Julien Esnay and Etienne Moutot}, title = {Weakly and Strongly Aperiodic Subshifts of Finite Type on Baumslag-Solitar Groups}, year = {2020} } |
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Farb, B. and Mosher, L. | A rigidity theorem for the solvable Baumslag-Solitar groups [BibTeX] |
1998 | Inventiones Mathematicae Vol. 131, pp. 419-451 |
article | DOI |
BibTeX:
@article{FarbMosher1998, author = {Benson Farb and Lee Mosher}, title = {A rigidity theorem for the solvable Baumslag-Solitar groups}, journal = {Inventiones Mathematicae}, year = {1998}, volume = {131}, pages = {419--451}, doi = {https://doi.org/10.1007/s002220050210} } |
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Gangloff, S. and Sablik, M. | Simulation of minimal effective dynamical systems on the Cantor sets by minimal tridimensional subshifts of finite type [BibTeX] |
2018 | https://arxiv.org/abs/1806.07799 | misc | |
BibTeX:
@misc{GangloffSablik2018, author = {Silvère Gangloff and Mathieu Sablik}, title = {Simulation of minimal effective dynamical systems on the Cantor sets by minimal tridimensional subshifts of finite type}, year = {2018} } |
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Gao, S., Jackson, S. and Seward, B. | A coloring property for countable groups [BibTeX] |
2009 | Mathematical Proceedings of the Cambridge Philosophical Society Vol. 147, pp. 579-592 |
article | |
BibTeX:
@article{GaoJacksonSeward2009, author = {Gao,Su and Jackson,Steve and Seward,Brandon}, title = {A coloring property for countable groups}, journal = {Mathematical Proceedings of the Cambridge Philosophical Society}, year = {2009}, volume = {147}, pages = {579--592} } |
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Ghys, E. and de la Harpe, P. | Sur les Groupes Hyperboliques d'après Mikhael Gromov [BibTeX] |
1990 | book | ||
BibTeX:
@book{GhysdelaHarpe1990, author = {Ghys, Etienne and de la Harpe, Pierre}, title = {Sur les Groupes Hyperboliques d'après Mikhael Gromov}, publisher = {Birkhäuser Boston}, year = {1990} } |
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Gao, S., Jackson, S. and Seward, B. | A coloring property for countable groups [BibTeX] |
2009 | Mathematical Proceedings of the Cambridge Philosophical Society Vol. 147, pp. 579-592 |
article | |
BibTeX:
@article{GJS2009, author = {Gao,Su and Jackson,Steve and Seward,Brandon}, title = {A coloring property for countable groups}, journal = {Mathematical Proceedings of the Cambridge Philosophical Society}, year = {2009}, volume = {147}, pages = {579--592} } |
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Glasner, E. and Weiss, B. | On minimal actions of countable groups [BibTeX] |
2018 | https://arxiv.org/abs/1801.03308 | misc | |
BibTeX:
@misc{GlasnerWeiss2018, author = {Eli Glasner and Benjamin Weiss}, title = {On minimal actions of countable groups}, year = {2018} } |
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Goodman-Strauss, C. | A hierarchical strongly aperiodic set of tiles in the hyperbolic plane [BibTeX] |
2010 | Theoretical Computer Science Vol. 411(7), pp. 1085 - 1093 |
article | DOI URL |
BibTeX:
@article{GoodmanStrauss2010, author = {Chaim Goodman-Strauss}, title = {A hierarchical strongly aperiodic set of tiles in the hyperbolic plane}, journal = {Theoretical Computer Science}, year = {2010}, volume = {411}, number = {7}, pages = {1085 - 1093}, url = {http://www.sciencedirect.com/science/article/pii/S0304397509008123}, doi = {https://doi.org/10.1016/j.tcs.2009.11.018} } |
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Gurevich, Y.S. and Koryakov, I.O. | Remarks on Berger's paper on the domino problem [BibTeX] |
1972 | Siberian Mathematical Journal Vol. 13(2), pp. 319-321 |
article | DOI URL |
BibTeX:
@article{GurevichKoryakov1972, author = {Yu. Sh. Gurevich and I. O. Koryakov}, title = {Remarks on Berger's paper on the domino problem}, journal = {Siberian Mathematical Journal}, publisher = {Springer Science and Business Media LLC}, year = {1972}, volume = {13}, number = {2}, pages = {319--321}, url = {https://doi.org/10.1007/bf00971620}, doi = {https://doi.org/10.1007/bf00971620} } |
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Higman, G. | A Finitely Related Group with An Isomorphic Proper Factor Group [BibTeX] |
1951 | Journal of the London Mathematical Society Vol. s1-26(1), pp. 59-61 |
article | DOI URL |
BibTeX:
@article{Higman1951, author = {Higman, Graham}, title = {A Finitely Related Group with An Isomorphic Proper Factor Group}, journal = {Journal of the London Mathematical Society}, year = {1951}, volume = {s1-26}, number = {1}, pages = {59-61}, url = {https://doi.org/10.1112/jlms/s1-26.1.59}, doi = {https://doi.org/10.1112/jlms/s1-26.1.59} } |
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Higman, G. | A Finitely Generated Infinite Simple Group [BibTeX] |
1951 | Journal of the London Mathematical Society Vol. s1-26(1), pp. 61-64 |
article | |
BibTeX:
@article{Higman1951bis, author = {Higman, Graham}, title = {A Finitely Generated Infinite Simple Group}, journal = {Journal of the London Mathematical Society}, year = {1951}, volume = {s1-26}, number = {1}, pages = {61-64} } |
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Hochman, M. | On the Dynamics and Recursive Properties of Multidimensional Symbolic Systems [BibTeX] |
2009 | Inventiones Mathematicae Vol. 176(1), pp. 131-167 |
article | |
BibTeX:
@article{Hochman2007, author = {Hochman, Michael}, title = {On the Dynamics and Recursive Properties of Multidimensional Symbolic Systems}, journal = {Inventiones Mathematicae}, publisher = {Springer}, year = {2009}, volume = {176}, number = {1}, pages = {131--167} } |
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Hochman, M. and Meyerovitch, T. | A characterization of the entropies of multidimensional shifts of finite type [BibTeX] |
2010 | Annals of Mathematics Vol. 171(3), pp. 2011-2038 |
article | URL |
BibTeX:
@article{HochmanMeyerovitch2010, author = {Michael Hochman and Tom Meyerovitch}, title = {A characterization of the entropies of multidimensional shifts of finite type}, journal = {Annals of Mathematics}, publisher = {Annals of Mathematics}, year = {2010}, volume = {171}, number = {3}, pages = {2011--2038}, url = {http://www.jstor.org/stable/20752256} } |
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Hooper, P. | The undecidability of the Turing machine immortality problem [BibTeX] |
1966 | The Journal of Symbolic Logic Vol. 31, pp. 219-234 |
article | DOI |
BibTeX:
@article{Hooper1966, author = {Philip Hooper}, title = {The undecidability of the Turing machine immortality problem}, journal = {The Journal of Symbolic Logic}, year = {1966}, volume = {31}, pages = {219--234}, doi = {https://doi.org/10.2307/2269811} } |
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Jeandel, E. | The periodic domino problem revisited [BibTeX] |
2010 | Theoretical Computer Science Vol. 411(44), pp. 4010 - 4016 |
article | DOI URL |
BibTeX:
@article{Jeandel2010, author = {Emmanuel Jeandel}, title = {The periodic domino problem revisited}, journal = {Theoretical Computer Science}, year = {2010}, volume = {411}, number = {44}, pages = {4010 - 4016}, url = {http://www.sciencedirect.com/science/article/pii/S0304397510004524}, doi = {https://doi.org/10.1016/j.tcs.2010.08.017} } |
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Jeandel, E. | Aperiodic Subshifts of Finite Type on Groups [BibTeX] |
2015 | https://arxiv.org/abs/1501.06831 | misc | |
BibTeX:
@misc{Jeandel2015aperiodic, author = {Emmanuel Jeandel}, title = {Aperiodic Subshifts of Finite Type on Groups}, year = {2015} } |
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Jeandel, E. | Aperiodic Subshifts on Polycyclic Groups [BibTeX] |
2015 | CoRR Vol. abs/1510.02360https://arxiv.org/abs/1510.02360 |
misc | URL |
BibTeX:
@misc{Jeandel2015poly, author = {Emmanuel Jeandel}, title = {Aperiodic Subshifts on Polycyclic Groups}, journal = {CoRR}, year = {2015}, volume = {abs/1510.02360}, url = {http://arxiv.org/abs/1510.02360} } |
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Jeandel, E. | Translation-like Actions and Aperiodic Subshifts on Groups [BibTeX] |
2015 | CoRR Vol. abs/1508.06419https://arxiv.org/abs/1508.06419 |
misc | URL |
BibTeX:
@misc{Jeandel2015translation, author = {Emmanuel Jeandel}, title = {Translation-like Actions and Aperiodic Subshifts on Groups}, journal = {CoRR}, year = {2015}, volume = {abs/1508.06419}, url = {http://arxiv.org/abs/1508.06419} } |
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Jeandel, E. and Vanier, P. | The Undecidability of the Domino Problem | 2020 | Substitution and Tiling Dynamics: Introduction to Self-inducing Structures: CIRM Jean-Morlet Chair, Fall 2017, pp. 293-357 | inbook | DOI URL |
Abstract: One of the most fundamental problems in tiling theory is to decide, given a surface, a set of tiles and a tiling rule, whether there exists a way to tile the surface using the set of tiles and following the rules. As proven by Berger (The Undecidability of the Domino Problem. Ph.D. thesis, Harvard University, 1964) in the 1960s, this problem is undecidable in general. When formulated in terms of tilings of the discrete plane ℤ2$$backslashmathbb Z^2$$by unit tiles with colored constraints, this is called the Domino Problem and was introduced by Wang (Bell Syst Tech J 40:1--41, 1961) in an effort to solve satisfaction problems for ∀∃∀ formulas by translating the problem into a geometric problem. There exist a few different proofs of this result. The most well-known proof is probably the proof by Robinson (Invent Math 12(3):177--209, 1971) which is a variation on the proof of Berger. A relatively new proof by Kari (Machines, computations, and universality (MCU). vol. 4664, 2007, pp. 72--79) has some nice ramifications for tilings of surfaces and groups. In terms of ingredients, one can divide the proofs in 4 categories. The remaining two categories are given by the proof of Aanderaa and Lewis (J Symb Log 39(3):519--548, 1974) and the fixed point method of Durand et al. (J Comput Syst Sci 78(3):731--764 , 2012). In this course, we will give a brief description of the problem and to the meaning of the word ``undecidable'', and then give the four different proofs. As we will explain, the undecidability of the Domino Problem has as a consequence the existence of an aperiodic tileset. All four sections will be organized in such a way that the interested reader can first extract from the proof the aperiodic tileset into consideration, before we go into more details to actually prove the undecidability of the problem. | |||||
BibTeX:
@inbook{JeandelVanier2020, author = {Jeandel, Emmanuel and Vanier, Pascal}, title = {The Undecidability of the Domino Problem}, booktitle = {Substitution and Tiling Dynamics: Introduction to Self-inducing Structures: CIRM Jean-Morlet Chair, Fall 2017}, publisher = {Springer International Publishing}, year = {2020}, pages = {293--357}, url = {https://doi.org/10.1007/978-3-030-57666-0_6}, doi = {https://doi.org/10.1007/978-3-030-57666-0_6} } |
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Jiang, Y. | Translation-like actions yield regular maps [BibTeX] |
2017 | https://arxiv.org/abs/1703.09253 | misc | |
BibTeX:
@misc{Jiang2017, author = {Yongle Jiang}, title = {Translation-like actions yield regular maps}, year = {2017} } |
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Kahr, A.S., Moore, E.F. and Wang, H. | Entscheidungsproblem reduced to the ∀∃∀ case [BibTeX] |
1962 | Proceedings of the National Academy of Sciences of the United States of America Vol. 48(3), pp. 365-377 |
article | |
BibTeX:
@article{KahrMooreWang1962, author = {Andrew Seth Kahr and Edward F. Moore and Hao Wang}, title = {Entscheidungsproblem reduced to the ∀∃∀ case}, journal = {Proceedings of the National Academy of Sciences of the United States of America}, year = {1962}, volume = {48}, number = {3}, pages = {365--377} } |
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Kari, J. | A small aperiodic set of Wang tiles [BibTeX] |
1996 | Discrete Mathematics Vol. 160, pp. 259 - 264 |
article | DOI URL |
BibTeX:
@article{Kari1996, author = {Kari, J.}, title = {A small aperiodic set of Wang tiles}, journal = {Discrete Mathematics}, year = {1996}, volume = {160}, pages = {259 - 264}, url = {http://www.sciencedirect.com/science/article/pii/0012365X9500120L}, doi = {https://doi.org/10.1016/0012-365X(95)00120-L} } |
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Kari, J. and Moutot, E. | Decidability and Periodicity of Low Complexity Tilings [BibTeX] |
2020 | Vol. 15437th International Symposium on Theoretical Aspects of Computer Science (STACS 2020), pp. 14:1-14:12 |
inproceedings | DOI URL |
BibTeX:
@inproceedings{KariMoutot2020, author = {Jarkko Kari and Etienne Moutot}, title = {Decidability and Periodicity of Low Complexity Tilings}, booktitle = {37th International Symposium on Theoretical Aspects of Computer Science (STACS 2020)}, publisher = {Schloss Dagstuhl--Leibniz-Zentrum für Informatik}, year = {2020}, volume = {154}, pages = {14:1--14:12}, url = {https://drops.dagstuhl.de/opus/volltexte/2020/11875}, doi = {https://doi.org/10.4230/LIPIcs.STACS.2020.14} } |
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Kass, S. and Madden, K. | A sufficient condition for non-soficness of higher-dimensional subshifts [BibTeX] |
2013 | Proc. Amer. Math. Soc. Vol. 141, pp. 3803-3816 |
article | |
BibTeX:
@article{KassMadden2013, author = {Steve Kass and Kathleen Madden}, title = {A sufficient condition for non-soficness of higher-dimensional subshifts}, journal = {Proc. Amer. Math. Soc.}, year = {2013}, volume = {141}, pages = {3803-3816} } |
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Kasteleyn, P. | The statistics of dimers on a lattice: I. The number of dimer arrangements on a quadratic lattice [BibTeX] |
1961 | Physica Vol. 27(12), pp. 1209 - 1225 |
article | DOI |
BibTeX:
@article{Kasteleyn1961, author = {P.W. Kasteleyn}, title = {The statistics of dimers on a lattice: I. The number of dimer arrangements on a quadratic lattice}, journal = {Physica}, year = {1961}, volume = {27}, number = {12}, pages = {1209 - 1225}, doi = {https://doi.org/10.1016/0031-8914(61)90063-5} } |
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Kenyon, R. | The Planar Dimer Model With Boundary: A Survey. [BibTeX] |
1998 | CRM Proceedings and Lecture Notes, pp. 307-328 | inproceedings | |
BibTeX:
@inproceedings{Kenyon98, author = {Richard Kenyon}, title = {The Planar Dimer Model With Boundary: A Survey.}, booktitle = {CRM Proceedings and Lecture Notes}, year = {1998}, pages = {307--328} } |
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Kenyon, C. and Kenyon, R. | Tiling a polygon with rectangles [BibTeX] |
1992 | Proceedings., 33rd Annual Symposium on Foundations of Computer Science, pp. 610-619 | inproceedings | DOI |
BibTeX:
@inproceedings{KenyonKenyon1992, author = {C. Kenyon and R. Kenyon}, title = {Tiling a polygon with rectangles}, booktitle = {Proceedings., 33rd Annual Symposium on Foundations of Computer Science}, year = {1992}, pages = {610-619}, doi = {https://doi.org/10.1109/SFCS.1992.267790} } |
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Kuske, D. and Lohrey, M. | Logical aspects of Cayley-graphs: the group case [BibTeX] |
2005 | Annals of Pure and Applied Logic Vol. 131(1-3), pp. 263 - 286 |
article | DOI URL |
BibTeX:
@article{KuskeLohrey2005, author = {Dietrich Kuske and Markus Lohrey}, title = {Logical aspects of Cayley-graphs: the group case}, journal = {Annals of Pure and Applied Logic}, year = {2005}, volume = {131}, number = {1--3}, pages = {263 - 286}, url = {http://www.sciencedirect.com/science/article/pii/S0168007204000831}, doi = {https://doi.org/10.1016/j.apal.2004.06.002} } |
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Lind, D.A. | The entropies of topological Markov shifts and a related class of algebraic integers [BibTeX] |
1984 | Ergodic Theory and Dynamical Systems Vol. 4(2), pp. 283–300 |
article | DOI |
BibTeX:
@article{Lind1984, author = {Lind, Douglas A.}, title = {The entropies of topological Markov shifts and a related class of algebraic integers}, journal = {Ergodic Theory and Dynamical Systems}, publisher = {Cambridge University Press}, year = {1984}, volume = {4}, number = {2}, pages = {283–300}, doi = {https://doi.org/10.1017/S0143385700002443} } |
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Lind, D. and Marcus, B. | An Introduction to Symbolic Dynamics and Coding [BibTeX] |
1995 | book | ||
BibTeX:
@book{LindMarcus1995, author = {Lind, Douglas and Marcus, Brian}, title = {An Introduction to Symbolic Dynamics and Coding}, publisher = {Cambridge University Press}, year = {1995} } |
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Lovász, L. and Plummer, M.D. | Matching Theory [BibTeX] |
2009 | book | URL | |
BibTeX:
@book{LovaszPlummer2009, author = {László Lovász and Michael D. Plummer}, title = {Matching Theory}, publisher = {American Mathematical Society}, year = {2009}, url = {https://www.amazon.com/Matching-Theory-Laszlo-Lovasz/dp/0821847597?SubscriptionId=AKIAIOBINVZYXZQZ2U3A&tag=chimbori05-20&linkCode=xm2&camp=2025&creative=165953&creativeASIN=0821847597} } |
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Lyndon, R.C. and Schupp, P.E. | Combinatorial Group Theory [BibTeX] |
2001 | book | DOI | |
BibTeX:
@book{LyndonSchupp2001, author = {Roger C. Lyndon and Paul E. Schupp}, title = {Combinatorial Group Theory}, publisher = {Springer-Verlag Berlin Heidelberg}, year = {2001}, doi = {https://doi.org/10.1007/978-3-642-61896-3} } |
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Magnus, W. | Das Identit�tsproblem f�r Gruppen mit einer definierenden Relation [BibTeX] |
1932 | Mathematische Annalen Vol. 106(1), pp. 295-307 |
article | DOI URL |
BibTeX:
@article{Magnus1932, author = {W. Magnus}, title = {Das Identit�tsproblem f�r Gruppen mit einer definierenden Relation}, journal = {Mathematische Annalen}, publisher = {Springer Science and Business Media LLC}, year = {1932}, volume = {106}, number = {1}, pages = {295--307}, url = {https://doi.org/10.1007/bf01455888}, doi = {https://doi.org/10.1007/bf01455888} } |
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Marcinkowski, M. and Nowak, P. | Aperiodic tilings of manifolds of intermediate growth [BibTeX] |
2014 | Groups, Geometry, and Dynamics Vol. 8(2), pp. 479–483 |
article | DOI URL |
BibTeX:
@article{MarcinkowskiNowak2014, author = {Marcinkowski, Michał and Nowak, Piotr}, title = {Aperiodic tilings of manifolds of intermediate growth}, journal = {Groups, Geometry, and Dynamics}, publisher = {European Mathematical Society Publishing House}, year = {2014}, volume = {8}, number = {2}, pages = {479–483}, url = {http://dx.doi.org/10.4171/GGD/235}, doi = {https://doi.org/10.4171/ggd/235} } |
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Meier, J. | Groups, Graphs and Trees: An Introduction to the Geometry of Infinite Groups [BibTeX] |
2008 | book | DOI | |
BibTeX:
@book{Meier2008, author = {Meier, John}, title = {Groups, Graphs and Trees: An Introduction to the Geometry of Infinite Groups}, publisher = {Cambridge University Press}, year = {2008}, doi = {https://doi.org/10.1017/CBO9781139167505} } |
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Miller, J.S. | Two notes on subshifts [BibTeX] |
2012 | Proceedings of the American Mathematical Society(140), pp. 1617-1622 | article | |
BibTeX:
@article{Miller2012, author = {Joseph S. Miller}, title = {Two notes on subshifts}, journal = {Proceedings of the American Mathematical Society}, year = {2012}, number = {140}, pages = {1617--1622} } |
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Hedlund, G. and Morse, M. | Symbolic dynamics [BibTeX] |
1938 | American Journal of Mathematics Vol. 60(4), pp. 815-866 |
article | |
BibTeX:
@article{MorseHedlund1938, author = {Gustav Hedlund and Marston Morse}, title = {Symbolic dynamics}, journal = {American Journal of Mathematics}, year = {1938}, volume = {60}, number = {4}, pages = {815--866} } |
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Mozes, S. | Tilings, substitution systems and dynamical systems generated by them [BibTeX] |
1989 | Journal d'analyse mathématique (Jerusalem) Vol. 53, pp. 139-186 |
article | |
BibTeX:
@article{Mozes1989, author = {Mozes, Shahar}, title = {Tilings, substitution systems and dynamical systems generated by them}, journal = {Journal d'analyse mathématique (Jerusalem)}, publisher = {Hebrew University}, year = {1989}, volume = {53}, pages = {139--186} } |
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Muller, D.E. and Schupp, P.E. | The theory of ends, pushdown automata, and second-order logic [BibTeX] |
1985 | Theoretical Computer Science Vol. 37(0), pp. 51 - 75 |
article | DOI URL |
BibTeX:
@article{MullerSchupp1985, author = {David E. Muller and Paul E. Schupp}, title = {The theory of ends, pushdown automata, and second-order logic}, journal = {Theoretical Computer Science}, year = {1985}, volume = {37}, number = {0}, pages = {51 - 75}, url = {http://www.sciencedirect.com/science/article/pii/0304397585900878}, doi = {https://doi.org/10.1016/0304-3975(85)90087-8} } |
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Novikov, P.S. | On Algorithmic Unsolvability of the Word Problem [BibTeX] |
1954 | Journal of Symbolic Logic Vol. 19(1), pp. 58-60 |
article | DOI |
BibTeX:
@article{Novikov1954, author = {P. S. Novikov}, title = {On Algorithmic Unsolvability of the Word Problem}, journal = {Journal of Symbolic Logic}, publisher = {Association for Symbolic Logic}, year = {1954}, volume = {19}, number = {1}, pages = {58--60}, doi = {https://doi.org/10.2307/2267661} } |
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Ormes, N. and Pavlov, R. | Extender sets and multidimensional subshifts [BibTeX] |
2016 | Ergodic Theory and Dynamical Systems Vol. 36(3), pp. 908–923 |
article | DOI |
BibTeX:
@article{OrmesPavlov2016, author = {Ormes, Nic and Pavlov, Ronnie}, title = {Extender sets and multidimensional subshifts}, journal = {Ergodic Theory and Dynamical Systems}, publisher = {Cambridge University Press}, year = {2016}, volume = {36}, number = {3}, pages = {908–923}, doi = {https://doi.org/10.1017/etds.2014.71} } |
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Pavlov, R. and Schraudner, M. | Entropies realizable by block gluing Z^d shifts of finite type [BibTeX] |
2015 | Journal d'Analyse Mathématique Vol. 126(1), pp. 113-174 |
article | DOI URL |
BibTeX:
@article{PavlovSchraudner2015, author = {Pavlov, Ronnie and Schraudner, Michael}, title = {Entropies realizable by block gluing Z^d shifts of finite type}, journal = {Journal d'Analyse Mathématique}, year = {2015}, volume = {126}, number = {1}, pages = {113--174}, url = {https://doi.org/10.1007/s11854-015-0014-4}, doi = {https://doi.org/10.1007/s11854-015-0014-4} } |
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Piantadosi, S.T. | Symbolic dynamics on free groups [BibTeX] |
2008 | Discrete and Continuous Dynamical Systems Vol. 20(3), pp. 725-738 |
article | |
BibTeX:
@article{Piantadosi2008, author = {Steven T. Piantadosi}, title = {Symbolic dynamics on free groups}, journal = {Discrete and Continuous Dynamical Systems}, year = {2008}, volume = {20}, number = {3}, pages = {725--738} } |
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Robinson, R. | Undecidability and nonperiodicity for tilings of the plane [BibTeX] |
1971 | Inventiones Mathematicae Vol. 12, pp. 177-209 |
article | |
BibTeX:
@article{Robinson1971, author = {Robinson, Raphael}, title = {Undecidability and nonperiodicity for tilings of the plane}, journal = {Inventiones Mathematicae}, year = {1971}, volume = {12}, pages = {177--209} } |
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Robinson, R.M. | Undecidable tiling problems in the hyperbolic plane [BibTeX] |
1978 | Inventiones Mathematicae Vol. 44, pp. 159-264 |
article | |
BibTeX:
@article{Robinson1978, author = {Robinson, Raphael M.}, title = {Undecidable tiling problems in the hyperbolic plane}, journal = {Inventiones Mathematicae}, year = {1978}, volume = {44}, pages = {159-264} } |
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Rogers, H. | Theory of Recursive Functions and Effective Computability [BibTeX] |
1987 | book | ||
BibTeX:
@book{Rogers1987, author = {Rogers, Hartley}, title = {Theory of Recursive Functions and Effective Computability}, publisher = {MIT Press}, year = {1987} } |
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Sablik, M. and Schraudner, M. | Algorithmic Complexity for the Realization of an Effective Subshift By a Sofic [BibTeX] |
2016 | Vol. 5543rd International Colloquium on Automata, Languages, and Programming (ICALP 2016), pp. 110:1-110:14 |
inproceedings | DOI URL |
BibTeX:
@inproceedings{SablikSchraudner2016, author = {Mathieu Sablik and Michael Schraudner}, title = {Algorithmic Complexity for the Realization of an Effective Subshift By a Sofic}, booktitle = {43rd International Colloquium on Automata, Languages, and Programming (ICALP 2016)}, publisher = {Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik}, year = {2016}, volume = {55}, pages = {110:1--110:14}, url = {http://drops.dagstuhl.de/opus/volltexte/2016/6245}, doi = {https://doi.org/10.4230/LIPIcs.ICALP.2016.110} } |
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Sahin, A.A., Schraudner, M. and Ugarcovici, I. | A strongly aperiodic shift of finite type for the discrete Heisenberg group [BibTeX] |
2020 | https://arxiv.org/abs/2009.07751 | misc | |
BibTeX:
@misc{SahinSchraudnerUgarcovici2020, author = {Ayse A. Sahin and Michael Schraudner and Ilie Ugarcovici}, title = {A strongly aperiodic shift of finite type for the discrete Heisenberg group}, year = {2020} } |
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Salo, V. | Four Heads are Better than Three [BibTeX] |
2020 | Vol. 12286Cellular Automata and Discrete Complex Systems - 26th IFIP WG 1.5 International Workshop, AUTOMATA 2020, Stockholm, Sweden, August 10-12, 2020, Proceedings, pp. 111-125 |
inproceedings | DOI URL |
BibTeX:
@inproceedings{Salo2020, author = {Ville Salo}, title = {Four Heads are Better than Three}, booktitle = {Cellular Automata and Discrete Complex Systems - 26th IFIP WG 1.5 International Workshop, AUTOMATA 2020, Stockholm, Sweden, August 10-12, 2020, Proceedings}, publisher = {Springer}, year = {2020}, volume = {12286}, pages = {111--125}, url = {https://doi.org/10.1007/978-3-030-61588-8_9}, doi = {https://doi.org/10.1007/978-3-030-61588-8%5C_9} } |
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Seward, B. | Burnside's Problem, Spanning Trees and Tilings [BibTeX] |
2014 | Geometry and Topology Vol. 18, pp. 179-210 |
article | DOI |
BibTeX:
@article{Seward2014, author = {Brandon Seward}, title = {Burnside's Problem, Spanning Trees and Tilings}, journal = {Geometry and Topology}, year = {2014}, volume = {18}, pages = {179--210}, doi = {https://doi.org/10.2140/gt.2014.18.179} } |
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Silva Müller, E.A. | Subshifts en los grupos de Baumslag-Solitar solubles no-abelianos [BibTeX] |
2020 | School: Universidad de Chile | mastersthesis | URL |
BibTeX:
@mastersthesis{SilvaMuller2020, author = {Silva Müller, Eduardo Alejandro}, title = {Subshifts en los grupos de Baumslag-Solitar solubles no-abelianos}, school = {Universidad de Chile}, year = {2020}, url = {http://repositorio.uchile.cl/handle/2250/176132} } |
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Stallings, J.R. | On Torsion-Free Groups with Infinitely Many Ends [BibTeX] |
1968 | Annals of Mathematics Vol. 88(2), pp. 312-334 |
article | URL |
BibTeX:
@article{Stallings1968, author = {John R. Stallings}, title = {On Torsion-Free Groups with Infinitely Many Ends}, journal = {Annals of Mathematics}, publisher = {Annals of Mathematics}, year = {1968}, volume = {88}, number = {2}, pages = {312--334}, url = {http://www.jstor.org/stable/1970577} } |
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Stallings, J.R. | On Torsion-Free Groups with Infinitely Many Ends [BibTeX] |
1968 | Annals of Mathematics Vol. 88(2), pp. 312-334 |
article | URL |
BibTeX:
@article{Stallings1968, author = {John R. Stallings}, title = {On Torsion-Free Groups with Infinitely Many Ends}, journal = {Annals of Mathematics}, publisher = {Annals of Mathematics}, year = {1968}, volume = {88}, number = {2}, pages = {312--334}, url = {http://www.jstor.org/stable/1970577} } |
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Swan, R.G. | Groups of cohomological dimension one [BibTeX] |
1969 | Journal of Algebra Vol. 12(4), pp. 585 - 610 |
article | DOI URL |
BibTeX:
@article{Swan1969, author = {Richard G. Swan}, title = {Groups of cohomological dimension one}, journal = {Journal of Algebra}, year = {1969}, volume = {12}, number = {4}, pages = {585 - 610}, url = {http://www.sciencedirect.com/science/article/pii/0021869369900301}, doi = {https://doi.org/10.1016/0021-8693(69)90030-1} } |
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Temperley, H.N.V. and Fisher, M.E. | Dimer problem in statistical mechanics-an exact result [BibTeX] |
1961 | The Philosophical Magazine: A Journal of Theoretical Experimental and Applied Physics Vol. 6(68), pp. 1061-1063 |
article | DOI |
BibTeX:
@article{TemperleyFisher1961, author = {H. N. V. Temperley and Michael E. Fisher}, title = {Dimer problem in statistical mechanics-an exact result}, journal = {The Philosophical Magazine: A Journal of Theoretical Experimental and Applied Physics}, publisher = {Taylor & Francis}, year = {1961}, volume = {6}, number = {68}, pages = {1061-1063}, doi = {https://doi.org/10.1080/14786436108243366} } |
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Wang, H. | Proving theorems by pattern recognition II. [BibTeX] |
1961 | Bell System Technical Journal Vol. 40(1-3), pp. 1-41 |
article | |
BibTeX:
@article{Wang1961, author = {Hao Wang}, title = {Proving theorems by pattern recognition II.}, journal = {Bell System Technical Journal}, year = {1961}, volume = {40}, number = {1-3}, pages = {1--41} } |
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Whyte, K. | Amenability, Bilipschitz equivalence, and the Von Neumann Conjecture [BibTeX] |
1999 | Duke Mathematical Journal Vol. 99(1), pp. 93-112 |
article | DOI |
BibTeX:
@article{Whyte1999, author = {Kevin Whyte}, title = {Amenability, Bilipschitz equivalence, and the Von Neumann Conjecture}, journal = {Duke Mathematical Journal}, year = {1999}, volume = {99}, number = {1}, pages = {93--112}, doi = {https://doi.org/10.1215/S0012-7094-99-09904-0} } |
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Whyte, K. | The large scale geometry of the higher Baumslag-Solitar groups [BibTeX] |
2001 | GAFA Geometric And Functional Analysis Vol. 11, pp. 1327-1343 |
article | DOI |
BibTeX:
@article{Whyte2001, author = {Kevin Whyte}, title = {The large scale geometry of the higher Baumslag-Solitar groups}, journal = {GAFA Geometric And Functional Analysis}, year = {2001}, volume = {11}, pages = {1327--1343}, doi = {https://doi.org/10.1007/s00039-001-8232-6} } |
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Woess, W. | Graphs and groups with tree-like properties [BibTeX] |
1989 | Journal of Combinatorial Theory, Series B Vol. 47(3), pp. 361 - 371 |
article | |
BibTeX:
@article{Woess1989, author = {Wolfgang Woess}, title = {Graphs and groups with tree-like properties}, journal = {Journal of Combinatorial Theory, Series B}, year = {1989}, volume = {47}, number = {3}, pages = {361 - 371} } |
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Woess, W. | Lamplighters, Diestel–Leader Graphs, Random Walks, and Harmonic Functions [BibTeX] |
2005 | Combinatorics, Probability and Computing Vol. 14(3), pp. 415–433 |
article | DOI |
BibTeX:
@article{Woess2005, author = {Woess, Wolfgang}, title = {Lamplighters, Diestel–Leader Graphs, Random Walks, and Harmonic Functions}, journal = {Combinatorics, Probability and Computing}, publisher = {Cambridge University Press}, year = {2005}, volume = {14}, number = {3}, pages = {415–433}, doi = {https://doi.org/10.1017/S0963548304006443} } |