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Law of large numbers for non-local functions on probabilistic cellular automata

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Publication:1012678
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DOI10.1007/s10955-008-9643-7zbMath1161.82012OpenAlexW2154843909MaRDI QIDQ1012678

André Toom

Publication date: 22 April 2009

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-008-9643-7


zbMATH Keywords

law of large numbersprobabilistic cellular automata


Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Strong limit theorems (60F15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Cellular automata (computational aspects) (68Q80)




Cites Work

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  • Laws of large numbers for a cellular automaton
  • Interacting particle systems. With a new postface.
  • Cycle time of stochastic max-plus linear systems.
  • Law of large numbers for a heterogeneous system of stochastic differential equations with strong local interaction and economic applications
  • Every continuous operator has an invariant measure
  • Law of large numbers for the simple exclusion process
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