Measure-valued limits of interacting particle systems with \(k\)-nary interactions. I: One-di\-men\-sion\-al limits

DOI10.1007/s00440-003-0267-1zbMath1038.60094OpenAlexW2094157930MaRDI QIDQ1400841

Vassili N. Kolokol'tsov

Publication date: 14 August 2003

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00440-003-0267-1

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)

Related Items (4)

Stochastic comparison for Lévy-type processes ⋮ Nonlinear Markov semigroups and interacting Lévy type processes ⋮ Stochastic monotonicity and duality for one-dimensional Markov processes ⋮ Stochastic Duality of Markov Processes: A Study Via Generators

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