4 papers
Topological transitivity of group cellular automata is decidable
Niccolò Castronuovo, Alberto Dennunzio, Luciano Margara
Topological transitivity is a fundamental notion in topological dynamics and is widely regarded as a basic indicator of global dynamical complexity. For general cellular automata,…
Decidability and Characterization of Expansivity for Group Cellular Automata
Niccolo' Castronuovo, Alberto Dennunzio, Luciano Margara
Group cellular automata are continuous, shift-commuting endomorphisms of , where is a finite group. We provide an easy-to-check characterization of expansivity fo…
A Divide and Conquer Algorithm for Deciding Group Cellular Automata Dynamics
Niccolo' Castronuovo, Alberto Dennunzio, Luciano Margara
We prove that many dynamical properties of group cellular automata (i.e., cellular automata defined on any finite group and with global rule which is an endomorphism), including su…
Hertzsprung patterns on involutions
Marilena Barnabei, Niccolò Castronuovo, Matteo Silimbani
Hertzsprung patterns, recently introduced by Anders Claesson, are subsequences of a permutation contiguous in both positions and values, and can be seen as a subclass of bivincular…