ANR Project CoCoGro

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.

  1. 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.
  2. 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.
  3. 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.
  4. 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.
  5. 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.
  6. 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.
  7. 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.
  8. 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.
  9. 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.
  10. 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.
  11. 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.
  12. 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.
  13. 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.
  14. 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.
  15. A Geometric Simulation Theorem on Direct Products of Finitely Generated Groups.[pdf]
    Sebastián Barbieri, Discrete Analysis, 2019, https://doi.org/10.19086/da.8820.
  16. 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.
  17. 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.
  18. On Some Interesting Ternary Formulas.[pdf]
    Matthieu Rosenfeld and Pascal Ochem, The Electronic Journal of Combinatorics, Volume 26, Issue 1, 2019.
  19. 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.
  20. A generalization of the simulation theorem for semidirect products.[pdf]
    Sebastián Barbieri and Mathieu Sablik, Ergodic Theory and Dynamical Systems, p.1-22, 2018.
  21. 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.
  22. 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.

  1. Avoidability of Additive Cubes over Alphabets of Four Numbers
    Florent Lietard and Matthieu Rosenfeld, DLT 2021.
  2. Decidability and Periodicity of Low Complexity Tilings
    Jarkko Kari and Etienne Moutot, STACS 2020.
  3. Domino Problem Under Horizontal Constraints
    Nathalie Aubrun, Solène J. Esnay and Mathieu Sablik, STACS 2020.
  4. The domino problem is undecidable on surface groups.[pdf]
    Nathalie Aubrun, Etienne Moutot and Sebastián Barbieri, MFCS 2019.
  5. Computational Limitations of Affine Automata.[pdf]
    Mika Hirvensalo, Etienne Moutot and Abuzer Yakaryılmaz, UCNC 2019.
  6. Slopes of 3-dimensional Subshifts of Finite Type.[pdf]
    Etienne Moutot and Pascal Vanier, CSR 2018.
  7. On Some Interesting Ternary Formulas. [pdf]
    Matthieu Rosenfeld and Pascal Ochem, WORDS 2017: Combinatorics on Words, p.30-35, 2017.
  8. On the Computational Power of Affine Automata.[pdf]
    Mika Hirvensalo, Etienne Moutot, Abuzer Yakaryilmaz, LATA 2017, p.405-417.

Book chapters.

  1. Avoiding or Limiting Regularities in Words.[pdf]
    Pascal Ochem, Michaël Rao and Matthieu Rosenfeld, chapter 5 in Sequences, Groups, and Number Theory.
  2. 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.

  1. Strongly Aperiodic SFTs on Generalized Baumslag-Solitar groups.[pdf]
    Nathalie Aubrun, Nicolás Bitar and Sacha Huriot-Tattegrain, preprint.
  2. 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.
  3. From algebraic to coordinate Bethe ansatz for square ice[pdf]
    Silvère Gangloff, preprint.