Time evolution of a system of two valued interacting elements : a microscopic interpretation of birth and death equations

DOI10.1080/00207728308926524zbMath0534.93046OpenAlexW2013956815MaRDI QIDQ3318647

Bertrand M. Roehner

Publication date: 1983

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207728308926524

zbMATH Keywords

classificationKolmogorov equationsbirth and death equationstwo valued interacting elements

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Stochastic systems in control theory (general) (93E03) Distribution theory (60E99)

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Stochastic versus deterministic non-linear growth processes

Cites Work

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• A sketch of Lie superalgebra theory
• Solving the Birth and Death Processes with Quadratic Asymptotically Symmetric Transition Rates
• Time-Dependent Statistics of the Ising Model