Self-organisation in Cellular Automata with Coalescent Particles: Qualitative and Quantitative Approaches.

Autor: Hellouin de Menibus, Benjamin¹ benjamin.hellouin@gmail.com, Sablik, Mathieu² msablik@math.univ-toulouse.fr

Publikováno v: Journal of Statistical Physics. Jun2017, Vol. 167 Issue 5, p1180-1220. 41p.

Aperiodic Points in Z²-subshifts

Autor: Grandjean, Anael, Hellouin De Menibus, Benjamin, Vanier, Pascal

We consider the structure of aperiodic points in Z^2-subshifts, and in particular the positions at which they fail to be periodic. We prove that if a Z^2-subshift contains points whose smallest period is arbitrarily large, then it contains an aperiod

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::fb0ca94af97768c63557581ea4dee22d

Asymptotic behaviour of cellular automata : computation and randomness

Autor: Hellouin de Menibus, Benjamin

L'objet de cette thèse est l'étude de l'auto-organisation dans les automates cellulaires unidimensionnels.Les automates cellulaires sont un système dynamique discret ainsi qu'un modèle de calcul massivement parallèle, ces deux aspects s'influen�

Externí odkaz: http://www.theses.fr/2014AIXM4729/document

FrontMatter.

Publikováno v: Cellular Automata & Discrete Complex Systems: 21st IFIP WG 1.5 International Workshop, AUTOMATA 2015, Turku, Finland, June 8-10, 2015. Proceedings; 2015, pI-X, 10p

Necessary conditions for tiling finitely generated amenable groups

Autor: Benjamin Hellouin de Menibus, Hugo Maturana Cornejo

We consider a set of necessary conditions which are efficient heuristics for deciding when a set of Wang tiles cannot tile a group. Piantadosi gave a necessary and sufficient condition for the existence of a valid tiling of any free group. This condi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::62c4fb4689cdacc84fb5de25653ca5e5
https://hal.archives-ouvertes.fr/hal-02092905