Limit theorems for infinite-dimensional piecewise deterministic Markov processes. Applications to stochastic excitable membrane models

DOI10.1214/EJP.v17-1946zbMath1255.60126arXiv1112.4069WikidataQ98839753 ScholiaQ98839753MaRDI QIDQ456199

Gilles Wainrib, Martin Georg Riedler, Michèle Thieullen

Publication date: 23 October 2012

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.4069

zbMATH Keywords

law of large numberscentral limit theorempiecewise deterministic Markov processesinfinite-dimensional stochastic processesexcitable membrane modelsrandom excitable media

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Continuous-time Markov processes on general state spaces (60J25) Neural biology (92C20) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Probability theory on linear topological spaces (60B11)

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