16 citations · 21 across the 3 of their papers we have counts for
4 papers
An Order on Sets of Tilings Corresponding to an Order on Languages
Nathalie Aubrun, Mathieu Sablik
Traditionally a tiling is defined with a finite number of finite forbidden patterns. We can generalize this notion considering any set of patterns. Generalized tilings defined in t…
Topological Dynamics of Cellular Automata: Dimension Matters
Mathieu Sablik, Guillaume Theyssier
Topological dynamics of cellular automata (CA), inherited from classical dynamical systems theory, has been essentially studied in dimension 1. This paper focuses on higher dimensi…
Topological Dynamics of 2D Cellular Automata
Mathieu Sablik, Guillaume Theyssier
Topological dynamics of cellular automata (CA), inherited from classical dynamical systems theory, has been essentially studied in dimension 1. This paper focuses on 2D CA and aims…
Measure rigidity for algebraic bipermutative cellular automata
Mathieu Sablik
Let $(\az,F)$ be a bipermutative algebraic cellular automaton. We present conditions which force a probability measure which is invariant for the -action of and the…