Mathieu Sablik

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All published works

Action	Title	Year	Authors
+ PDF Chat	Characterization of the set of zero-noise limits measures of perturbed cellular automata	2024	Hugo Marsan Mathieu Sablik
+	Soficity of free extensions of effective subshifts	2024	Sebastián Barbieri Mathieu Sablik Ville Salo
+ PDF Chat	Strong stochastic stability of cellular automata	2024	Hugo Marsan Mathieu Sablik
+ PDF Chat	Arithmetical Hierarchy of the Besicovitch-Stability of Noisy Tilings	2023	Léo Gayral Mathieu Sablik
+ PDF Chat	Characterisation of the Set of Ground States of Uniformly Chaotic Finite-Range Lattice Models	2023	Léo Gayral Mathieu Sablik Siamak Taati
+ PDF Chat	On the Besicovitch-stability of noisy random tilings	2023	Léo Gayral Mathieu Sablik
+ PDF Chat	Parametrization by horizontal constraints in the study of algorithmic properties of $ \mathbb{Z}^2 $-subshifts of finite type	2023	Solène J. Esnay Mathieu Sablik
+	Characterisation of the Set of Ground States of Uniformly Chaotic Finite-Range Lattice Models	2023	Léo Gayral Mathieu Sablik Siamak Taati
+	Soficity of free extensions of effective subshifts	2023	Sebastián Barbieri Mathieu Sablik Ville Salo
+	On the algorithmic descriptive complexity of attractors in topological dynamics	2023	Cristóbal Rojas Mathieu Sablik
+ PDF Chat	Arithmetical Hierarchy of the Besicovitch-Stability of Noisy Tilings	2022	Léo Gayral Mathieu Sablik
+	Parametrization by Horizontal Constraints in the Study of Algorithmic Properties of Z^2-Subshift of Finite Type	2022	Solène Esnay Mathieu Sablik
+	Parametrization by Horizontal Constraints in the Study of Algorithmic Properties of $\mathbb{Z}^2$-Subshift of Finite Type	2022	Solène Esnay Mathieu Sablik
+	Groups with self-simulable zero-dimensional dynamics	2021	Sebastián Barbieri Mathieu Sablik Ville Salo
+ PDF Chat	Domino Problem Under Horizontal Constraints	2020	Nathalie Aubrun Mathieu Sablik Julien Esnay
+	On entropies of block-gluing subshifts	2020	Svetlana Puzynina Mathieu Sablik
+	On the computability properties of topological entropy: a general approach	2019	Silvère Gangloff Alonso Herrera Cristóbal Rojas Mathieu Sablik
+	Ergodicity of some classes of cellular automata subject to noise	2019	Irène Marcovici Mathieu Sablik Siamak Taati
+ PDF Chat	A generalization of the simulation theorem for semidirect products	2018	Sebastián Barbieri Mathieu Sablik
+ PDF Chat	Weak colored local rules for planar tilings	2018	Thomas Fernique Mathieu Sablik
+	Simulation of minimal effective dynamical systems on the Cantor sets by minimal tridimensional subshifts of finite type	2018	Silvère Gangloff Mathieu Sablik
+	A characterization of the numbers that are the entropy dimension of minimal Z^3-SFT	2017	Silvère Gangloff Mathieu Sablik
+	A characterization of entropy dimensions of minimal tridimensional subshifts of finite type	2017	Silvère Gangloff Mathieu Sablik
+	Quantified block gluing, aperiodicity and entropy of multidimensional SFT	2017	Silvère Gangloff Mathieu Sablik
+ PDF Chat	Self-organisation in Cellular Automata with Coalescent Particles: Qualitative and Quantitative Approaches	2017	Benjamin Hellouin de Ménibus Mathieu Sablik
+	Quantified block gluing, aperiodicity and entropy of multidimensional SFT	2017	Silvère Gangloff Mathieu Sablik
+ PDF Chat	Probability and algorithmics: a focus on some recent developments	2017	Peggy Cénac Irène Marcovici Christelle Rovetta Mathieu Sablik Rémi Varloot
+	A characterization of entropy dimensions of minimal tridimensional subshifts of finite type	2017	Silvère Gangloff Mathieu Sablik
+	A notion of effectiveness for subshifts on finitely generated groups	2016	Nathalie Aubrun Sebastián Barbieri Mathieu Sablik
+ PDF Chat	Characterization of sets of limit measures of a cellular automaton iterated on a random configuration	2016	Benjamin Hellouin de Ménibus Mathieu Sablik
+	Row-constrained effective sets of colourings in the $2$-fold horocyclic tessellations of $\mathbb{H}^2$ are sofic.	2016	Nathalie Aubrun Mathieu Sablik
+	Effective S-adic Symbolic Dynamical Systems	2016	Valérie Berthé Thomas Fernique Mathieu Sablik
+	The Domino Problem for Self-similar Structures	2016	Sebastián Barbieri Mathieu Sablik
+	Row-constrained effective sets of colourings in the $2$-fold horocyclic tessellations of $\mathbb{H}^2$ are sofic	2016	Nathalie Aubrun Mathieu Sablik
+	MULTIDIMENSIONAL EFFECTIVE S-ADIC SUBSHIFTS ARE SOFIC	2014	Nathalie Aubrun Mathieu Sablik
+	Multidimensional effective S-adic subshift are sofic	2014	Mathieu Sablik Nathalie Aubrun
+	Speed of convergence for the realization of an effective subshift by a multidimensional SFT or Sofic	2013	Anne Crumière Mathieu Sablik Michael Schraudner
+ PDF Chat	Simulation of Effective Subshifts by Two-dimensional Subshifts of Finite Type	2013	Nathalie Aubrun Mathieu Sablik
+	Characterisation of sets of limit measures after iteration of a cellular automaton on an initial measure	2013	Benjamin Hellouin de Ménibus Mathieu Sablik
+	Speed of convergence for the realization of an effective subshift by a multidimensional SFT or Sofic	2013	Anne Crumière Mathieu Sablik Michael Schraudner
+ PDF Chat	Entry times in automata with simple defect dynamics	2012	Benjamin Hellouin de Ménibus Mathieu Sablik
+ PDF Chat	Local Rules for Computable Planar Tilings	2012	Thomas Fernique Mathieu Sablik
+	Multidimensional effective S-adic systems are sofic	2011	Nathalie Aubrun Mathieu Sablik
+ PDF Chat	Construction of µ-limit Sets	2010	Laurent Boyer Martin Delacourt Mathieu Sablik
+	Construction of $\mu$-Limit Sets	2010	Laurent Boyer Martin Delacourt Mathieu Sablik
+ PDF Chat	Topological Dynamics of Cellular Automata: Dimension Matters	2010	Mathieu Sablik Guillaume Theyssier
+	Construction of $μ$-Limit Sets	2010	Laurent Boyer Martin Delacourt Mathieu Sablik
+	AN ORDER ON SETS OF TILINGS CORRESPONDING TO AN ORDER ON LANGUAGES	2009	Nathalie Aubrun Mathieu Sablik
+	An Order on Sets of Tilings Corresponding to an Order on Languages	2009	Nathalie Aubrun Mathieu Sablik
+ PDF Chat	Two points of view to study the iterates of a random configuration by a cellular automaton	2008	Mathieu Sablik
+	Directional dynamics for cellular automata: A sensitivity to initial condition approach	2008	Mathieu Sablik
+ PDF Chat	Topological Dynamics of 2D Cellular Automata	2008	Mathieu Sablik Guillaume Theyssier
+ PDF Chat	Logic and Theory of Algorithms	2008	Mathieu Sablik Guillaume Theyssier
+	Topological Dynamics of 2D Cellular Automata	2007	Mathieu Sablik Guillaume Theyssier
+ PDF Chat	Measure rigidity for algebraic bipermutative cellular automata	2007	Mathieu Sablik
+ PDF Chat	The Dynamics of Cellular Automata in Shift-Invariant Topologies	2007	Laurent Bienvenu Mathieu Sablik
+	Etude de l'action conjointe d'un automate cellulaire et du décalage : une approche topologique et ergodique	2006	Mathieu Sablik
+	Measure rigidity for algebraic bipermutative cellular automata	2005	Mathieu Sablik
+	Wavelets in Abstract Hilbert Space	2000	Mathieu Sablik

Common Coauthors

Coauthor	Papers Together
Nathalie Aubrun	10
Silvère Gangloff	7
Sebastián Barbieri	6
Léo Gayral	5
Guillaume Theyssier	4
Benjamin Hellouin de Ménibus	4
Thomas Fernique	3
Ville Salo	3
Siamak Taati	3
Martin Delacourt	3
Cristóbal Rojas	2
Solène J. Esnay	2
Michael Schraudner	2
Hugo Marsan	2
Irène Marcovici	2
Laurent Boyer	2
Svetlana Puzynina	1
Laurent Bienvenu	1
Rémi Varloot	1
Anne Crumière	1
Anne Crumière	1
Peggy Cénac	1
Julien Esnay	1
Christelle Rovetta	1
M. Hugo	1
Solène Esnay	1
Valérie Berthé	1
Laurent Boyer	1
Alonso Herrera	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	On the dynamics and recursive properties of multidimensional symbolic systems	2008	Michael Hochman	23
+	The undecidability of the domino problem	1966	Robert E. Berger	18
+	Endomorphisms and automorphisms of the shift dynamical system	1969	Gustav A. Hedlund	17
+	Undecidability and nonperiodicity for tilings of the plane	1971	Raphael M. Robinson	16
+	Tilings, substitution systems and dynamical systems generated by them	1989	Shahar Mozes	13
+ PDF Chat	Simulation of Effective Subshifts by Two-dimensional Subshifts of Finite Type	2013	Nathalie Aubrun Mathieu Sablik	13
+	An Introduction to Symbolic Dynamics and Coding	2010	Douglas Lind Brian Marcus	12
+ PDF Chat	A characterization of the entropies of multidimensional shifts of finite type	2010	Michael Hochman Tom Meyerovitch	11
+ PDF Chat	Effective Closed Subshifts in 1D Can Be Implemented in 2D	2010	Bruno Durand Andrei Romashchenko Alexander Shen	9
+	Fixed-point tile sets and their applications	2011	Bruno Durand Andrei Romashchenko Alexander Shen	8
+ PDF Chat	On the Complexity of Limit Sets of Cellular Automata Associated with Probability Measures	2006	Laurent Boyer Victor Poupet Guillaume Theyssier	5
+	Languages, equicontinuity and attractors in cellular automata	1997	Petr Kůrka	5
+ PDF Chat	Some properties of cellular automata with equicontinuity points	2000	F. Blanchard Pierre Tisseur	5
+ PDF Chat	Characterizations of periods of multi-dimensional shifts	2013	Emmanuel Jeandel Pascal Vanier	5
+	Applications of ergodic theory and sofic systems to cellular automata	1984	Douglas Lind	4
+	Cellular automata with vanishing particles	2003	Petr Kůrka	4
+ PDF Chat	Limit measures for affine cellular automata	2002	Marcus Pivato REEM YASSAWI	4
+	The Arithmetical Hierarchy of Real Numbers	2001	Xizhong Zheng Klaus Weihrauch	4
+	Dynamics and abstract computability: Computing invariant measures	2010	Stefano Galatolo Mathieu Hoyrup Cristóbal Rojas	4
+ PDF Chat	Cesàro mean distribution of group automata starting from measures with summable decay	2000	Pablo A. Ferrari Alejandro Maass Servet Martı́nez Peter Ney	4
+ PDF Chat	Characterization of sets of limit measures of a cellular automaton iterated on a random configuration	2016	Benjamin Hellouin de Ménibus Mathieu Sablik	4
+	Dynamical properties of expansive one-sided cellular automata	1997	F. Blanchard Alejandro Maass	4
+	The one-dimensional cyclic cellular automaton: A system with deterministic dynamics that emulates an interacting particle system with stochastic dynamics	1990	Robert O. Fisch	4
+ PDF Chat	Ergodic Theory on Compact Spaces	1976	Manfred Denker Christian Grillenberger Karl Sigmund	4
+ PDF Chat	On undecidability of equicontinuity classification for cellular automata	2003	Bruno Durand Enrico Formenti Georges Varouchas	3
+ PDF Chat	Limit measures for affine cellular automata II	2004	Marcus Pivato Reem Yassawi	3
+	Directional dynamics along arbitrary curves in cellular automata	2011	Martin Delacourt Victor Poupet M. J. Sablik Guillaume Theyssier	3
+ PDF Chat	A generalization of the simulation theorem for semidirect products	2018	Sebastián Barbieri Mathieu Sablik	3
+	Particlelike structures and their interactions in spatiotemporal patterns generated by one-dimensional deterministic cellular-automaton rules	1991	N. Boccara J. Nasser M. Röger	3
+ PDF Chat	Realization of aperiodic subshifts and uniform densities in groups	2018	Nathalie Aubrun Sebastián Barbieri Stéphan Thomassé	3
+	The large scale geometry of strongly aperiodic subshifts of finite type	2017	David Bruce Cohen	3
+	Ergodic Theory via Joinings	2003	Eli Glasner	3
+	Expansivity, Permutivity, and Chaos for Cellular Automata	1998	Fabio Fagnani	3
+	Ergodic Theory	1982	I. P. Cornfeld Ya. G. Sinaĭ Sergey Fomin	3
+	Growth-type invariants for ℤ d subshifts of finite type and arithmetical classes of real numbers	2010	Tom Meyerovitch	3
+	A New Dimension Sensitive Property for Cellular Automata	2004	Vincent Bernardi Bruno Durand Enrico Formenti Jarkko Kari	3
+	Universality and complexity in cellular automata	1984	Stephen Wolfram	3
+ PDF Chat	Topological Entropy Dimension and Directional Entropy Dimension for ℤ2-Subshifts	2017	Uijin Jung Jungseob Lee Kyewon Koh Park	3
+ PDF Chat	Invariant Measures and Convergence Properties for Cellular Automaton 184 and Related Processes	2005	Vladimir Belitsky Pablo A. Ferrari	3
+	A notion of effectiveness for subshifts on finitely generated groups	2016	Nathalie Aubrun Sebastián Barbieri Mathieu Sablik	3
+	On the Expressive Power of Quasiperiodic SFT.	2017	Bruno Durand Andrei Romashchenko	3
+ PDF Chat	Reliable cellular automata with self-organization	2002	Péter Gács	3
+	Structural aspects of tilings	2008	Alexis Ballier Bruno Durand Emmanuel Jeandel	2
+	A shift-invariant metric on S zz inducing a non-trivial topology	1997	Gianpiero Cattaneo Enrico Formenti Luciano Margara Johan Mazoyer	2
+	Combinatorial Group Theory	1990	Roger C. Lyndon Paul E. Schupp	2
+	Combinatorial substitutions and sofic tilings	2010	Thomas Fernique Nicolas Ollinger	2
+	Cellular Automata and Groups	2011	Tullio Ceccherini‐Silberstein Michel Coornaert	2
+	Directional dynamics for cellular automata: A sensitivity to initial condition approach	2008	Mathieu Sablik	2
+	Algebraic theory of Penrose's non-periodic tilings of the plane. I	1981	N.G. de Bruijn	2
+	Local rules for quasiperiodic tilings of quadratic 2-planes inR 4	1992	Thang T. Q. Lê Sergey Piunikhin Vladimir Sadov	2