Publications related to the project.
Phrase à mettre dans les remerciements : Supported by the ANR project CoCoGro (ANR-16-CE40-0005).
Published and accepted papers.
Journals.
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Markovian properties of continuous group actions: algebraic actions, entropy and the homoclinic group[pdf]
Sebastián Barbieri, Felipe García-Ramos and Hanfeng Li, Advances in Mathematics, Volume 397, 5 March 2022, https://doi.org/10.1016/j.aim.2022.108196. -
Aperiodic SFTs on Baumslag-Solitar groups.[pdf]
Solène J. Esnay, Etienne Moutot, Theoretical Computer Science, March 2022, https://doi.org/10.1016/j.tcs.2022.03.010. -
A complete proof that square ice entropy is \frac{3}{2}\log_2(\frac{4}{3})[pdf]
Silvère Gangloff, Ergodic Theory and Dynamical Systems, 2022, pp.1-62. https://doi.org/10.1017/etds.2022.6. -
Gibbsian representations of continuous specifications: the theorems of Kozlov and Sullivan revisited.[pdf]
Sebastián Barbieri, Ricardo Gómez-Aíza, Brian Marcus, Tom Meyerovitch, Siamak Taati, Commun. Math. Phys. 382, 1111–1164 (2021). https://doi.org/10.1007/s00220-021-03979-2. -
On the domino problem of the Baumslag-Solitar groups.[pdf]
Nathalie Aubrun and Jarkko Kari, Theoretical Computer Science, September 2021, https://doi.org/10.1016/j.tcs.2021.09.002. -
SDecidability and Periodicity of Low Complexity Tilings.[pdf]
Jarkko Kari and Etienne Moutot, Theory of Computing Systems, 2021, https://doi.org/10.1007/s00224-021-10063-8. -
A hierarchy of topological systems with completely positive entropy.[pdf]
Sebastián Barbieri, Felipe García-Ramos, Journal d'analyse mathématique Volume 143, Issue 2, 639-680, 2021, https://doi.org/10.1007/s11854-021-0167-2. -
On the entropies of subshifts of finite type on countable amenable groups[pdf]
Sebastián Barbieri, Groups, Geometry and Dynamics, Volume 15, 2021, pp.607-638, http://doi.org/10.4171/GGD/608. -
Slopes of multidimensional subshifts[pdf]
Emmanuel Jeandel, Etienne Moutot and Pascal Vanier, Theory of Computing Systems, Volume 64, Issue 1, Jan. 2020, pp.35–61, https://doi.org/10.1007/s00224-019-09931-1. -
Avoiding conjugacy classes on the 5-letter alphabet[pdf]
Golnaz Badkobeh and Pascal Ochem, RAIRO-Theor. Inf. Appl., Volume 54, 2020, https://doi.org/10.1051/ita/2020003. -
Asymptotic growth rate of square grids dominating sets: a symbolic dynamics approach.[pdf]
Silvère Gangloff and Alexandre Talon, Theoretical Computer Science, Volume 821, 87-101, 2020, https://doi.org/10.1016/j.tcs.2020.03.006. -
Equivalence of relative Gibbs and relative equilibrium measures for actions of countable amenable groups.[pdf]
Sebastián Barbieri, Ricardo Gómez-Aíza, Brian Marcus, Siamak Taati, Nonlinearity Volume 33, Issue 5, 2409-2454, 2020, https://doi.org/10.1088/1361-6544/ab6a75. -
Repetition avoidance in products of factors[pdf]
Pamela Fleischmann, Pascal Ochem and Kamellia Reshadi, Theoretical Computer Science, Volume 791, Issue C, Oct. 2019, pp.123–126, https://doi.org/10.1016/j.tcs.2019.04.013. -
Counting submodules of a module over a noetherian commutative ring[pdf]
Yves Cornulier, Journal of Algebra, Elsevier, 2019, 534, pp.392–426, https://doi.org/10.1016/j.jalgebra.2019.06.010. -
A Geometric Simulation Theorem on Direct Products of Finitely Generated Groups.[pdf]
Sebastián Barbieri, Discrete Analysis, 2019, https://doi.org/10.19086/da.8820. -
Necessary conditions for tiling finitely generated amenable groups.[pdf]
Benjamin Hellouin de Menibus and Hugo Maturana Cornejo, Discrete & Continuous Dynamical Systems Volume 40, Issue 4, 2335-2346, 2020. -
Some further results on squarefree arithmetic progressions in infinite words[pdf]
James Currie, Tero Harju, Pascal Ochem and Narad Rampersad, Theoretical Computer Science, Volume 799, 24 December 2019, pp.140-148, https://doi.org/10.1016/j.tcs.2019.10.006. -
On Some Interesting Ternary Formulas.[pdf]
Matthieu Rosenfeld and Pascal Ochem, The Electronic Journal of Combinatorics, Volume 26, Issue 1, 2019. -
Realization of Aperiodic Subshifts and Uniform Densities in Groups.[pdf]
Nathalie Aubrun, Sebastián Barbieri and Stéphan Thomassé, Groups, Geometry and Dynamics, Volume 13, Issue 1, 2019, pp. 107–129. -
A generalization of the simulation theorem for semidirect products.[pdf]
Sebastián Barbieri and Mathieu Sablik, Ergodic Theory and Dynamical Systems, p.1-22, 2018. -
On Repetition Thresholds of Caterpillars and Trees of Bounded Degree.[pdf]
Borut Lužar, Pascal Ochem, Alexandre Pinlou, The Electronic Journal of Combinatorics, Volume 25, Issue 1, 2018. -
A Notion of Effectiveness for Subshifts on Finitely Generated Groups.[pdf]
Nathalie Aubrun, Sebastián Barbieri and Mathieu Sablik, Theoretical Computer Science, Volume 661, p.35-55, 2017.
Conferences.
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Avoidability of Additive Cubes over Alphabets of Four Numbers
Florent Lietard and Matthieu Rosenfeld, DLT 2021. -
Decidability and Periodicity of Low Complexity Tilings
Jarkko Kari and Etienne Moutot, STACS 2020. -
Domino Problem Under Horizontal Constraints
Nathalie Aubrun, Solène J. Esnay and Mathieu Sablik, STACS 2020. -
The domino problem is undecidable on surface groups.[pdf]
Nathalie Aubrun, Etienne Moutot and Sebastián Barbieri, MFCS 2019. -
Computational Limitations of Affine Automata.[pdf]
Mika Hirvensalo, Etienne Moutot and Abuzer Yakaryılmaz, UCNC 2019. -
Slopes of 3-dimensional Subshifts of Finite Type.[pdf]
Etienne Moutot and Pascal Vanier, CSR 2018. -
On Some Interesting Ternary Formulas. [pdf]
Matthieu Rosenfeld and Pascal Ochem, WORDS 2017: Combinatorics on Words, p.30-35, 2017. -
On the Computational Power of Affine Automata.[pdf]
Mika Hirvensalo, Etienne Moutot, Abuzer Yakaryilmaz, LATA 2017, p.405-417.
Book chapters.
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Avoiding or Limiting Regularities in Words.[pdf]
Pascal Ochem, Michaël Rao and Matthieu Rosenfeld, chapter 5 in Sequences, Groups, and Number Theory. -
About the Domino Problem for Subshifts on Groups.[pdf]
Nathalie Aubrun, Sebastián Barbieri and Emmanuel Jeandel, chapter 9 in Sequences, Groups, and Number Theory.
Preprints and work in progress.
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Strongly Aperiodic SFTs on Generalized Baumslag-Solitar groups.[pdf]
Nathalie Aubrun, Nicolás Bitar and Sacha Huriot-Tattegrain, preprint. -
Tilings of the hyperbolic plane of substitutive origin as subshifts of finite type on Baumslag-Solitar groups BS(1,n).[pdf]
Nathalie Aubrun and Michael Schraudner, preprint. -
From algebraic to coordinate Bethe ansatz for square ice[pdf]
Silvère Gangloff, preprint.