Basic Ideas to Approach Metastability in Probabilistic Cellular Automata

Emilio N. M. Cirillo; Francesca R. Nardi; Cristian Spitoni

Basic Ideas to Approach Metastability in Probabilistic Cellular Automata

Emilio N. M. Cirillo
, Francesca R. Nardi
, Cristian Spitoni

Research output: Working paper › Preprint › Academic

Abstract

Cellular Automata are discrete--time dynamical systems on a spatially extended discrete space which provide paradigmatic examples of nonlinear phenomena. Their stochastic generalizations, i.e., Probabilistic Cellular Automata, are discrete time Markov chains on lattice with finite single--cell states whose distinguishing feature is the \textit{parallel} character of the updating rule. We review some of the results obtained about the metastable behavior of Probabilistic Cellular Automata and we try to point out difficulties and peculiarities with respect to standard Statistical Mechanics Lattice models.

Original language	English
Publisher	arXiv
Publication status	Published - 28 Jun 2016

Bibliographical note

arXiv admin note: text overlap with arXiv:1307.8234

Keywords

cond-mat.stat-mech

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title = "Basic Ideas to Approach Metastability in Probabilistic Cellular Automata",

abstract = "Cellular Automata are discrete--time dynamical systems on a spatially extended discrete space which provide paradigmatic examples of nonlinear phenomena. Their stochastic generalizations, i.e., Probabilistic Cellular Automata, are discrete time Markov chains on lattice with finite single--cell states whose distinguishing feature is the \textbackslash{}textit\{parallel\} character of the updating rule. We review some of the results obtained about the metastable behavior of Probabilistic Cellular Automata and we try to point out difficulties and peculiarities with respect to standard Statistical Mechanics Lattice models.",

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author = "Cirillo, \{Emilio N. M.\} and Nardi, \{Francesca R.\} and Cristian Spitoni",

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T1 - Basic Ideas to Approach Metastability in Probabilistic Cellular Automata

AU - Cirillo, Emilio N. M.

AU - Nardi, Francesca R.

AU - Spitoni, Cristian

N1 - arXiv admin note: text overlap with arXiv:1307.8234

PY - 2016/6/28

Y1 - 2016/6/28

N2 - Cellular Automata are discrete--time dynamical systems on a spatially extended discrete space which provide paradigmatic examples of nonlinear phenomena. Their stochastic generalizations, i.e., Probabilistic Cellular Automata, are discrete time Markov chains on lattice with finite single--cell states whose distinguishing feature is the \textit{parallel} character of the updating rule. We review some of the results obtained about the metastable behavior of Probabilistic Cellular Automata and we try to point out difficulties and peculiarities with respect to standard Statistical Mechanics Lattice models.

AB - Cellular Automata are discrete--time dynamical systems on a spatially extended discrete space which provide paradigmatic examples of nonlinear phenomena. Their stochastic generalizations, i.e., Probabilistic Cellular Automata, are discrete time Markov chains on lattice with finite single--cell states whose distinguishing feature is the \textit{parallel} character of the updating rule. We review some of the results obtained about the metastable behavior of Probabilistic Cellular Automata and we try to point out difficulties and peculiarities with respect to standard Statistical Mechanics Lattice models.

KW - cond-mat.stat-mech

M3 - Preprint

BT - Basic Ideas to Approach Metastability in Probabilistic Cellular Automata

PB - arXiv

ER -

Basic Ideas to Approach Metastability in Probabilistic Cellular Automata

Abstract

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