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On the uniqueness of certain interacting particle systems

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Publication:4077341
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DOI10.1007/BF00532602zbMath0316.60067OpenAlexW1995344614MaRDI QIDQ4077341

David Griffeath, Lawrence F. Gray

Publication date: 1976

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00532602


Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35)


Related Items

Random walk and diffusion in a stochastic lattice gas model, Unnamed Item, Unnamed Item, Specific information gain for interacting Markov processes, Translation invariant spin-flip processes and nonuniqueness, Order properties of attractive spin systems



Cites Work

  • Unnamed Item
  • Unnamed Item
  • A martingale approach to infinite systems of interacting processes
  • Contact interactions on a lattice
  • Ergodic theorems for weakly interacting infinite systems and the voter model
  • Extensions of Trotter's operator semigroup approximation theorems
  • Ergodic theorems for graph interactions
  • A unified existence and ergodic theorem for Markov evolution of random fields
  • Existence Theorems for Infinite Particle Systems
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