34 citations · 76 across the 20 of their papers we have counts for
13 papers · 1 filter
On the transversals of Latin squares generated by nonlinear bipermutive cellular automata
Alberto Dennunzio, Maximilien Gadouleau, Luca Mariot
In this short paper, we begin to investigate the conditions under which a generic Bipermutive Cellular Automaton (BCA) with no-boundary conditions of diameter generates a Latin…
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…
An Easily Checkable Algebraic Characterization of Positive Expansivity for Additive Cellular Automata over a Finite Abelian Group
Alberto Dennunzio, Enrico Formenti, Luciano Margara
We provide an easily checkable algebraic characterization of positive expansivity for Additive Cellular Automata over a finite abelian group. First of all, an easily checkable char…
Complexity of the dynamics of reaction systems
Alberto Dennunzio, Enrico Formenti, Luca Manzoni +1
Reaction systems are discrete dynamical systems inspired by bio-chemical processes, whose dynamical behaviour is expressed by set-theoretic operations on finite sets. Reaction syst…