16 citations · 24 across the 5 of their papers we have counts for
4 papers · 1 filter
On Local Symmetries And Universality In Cellular Autmata
Laurent Boyer, Guillaume Theyssier
Cellular automata (CA) are dynamical systems defined by a finite local rule but they are studied for their global dynamics. They can exhibit a wide range of complex behaviours and…
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…
On the Complexity of Limit Sets of Cellular Automata Associated with Probability Measures
Laurent Boyer, Victor Poupet, Guillaume Theyssier
We study the notion of limit sets of cellular automata associated with probability measures (mu-limit sets). This notion was introduced by P. Kurka and A. Maass. It is a refinement…