A sample path proof of the duality for stochastically monotone Markov processes

DOI10.1214/aop/1176993008zbMath0563.60062OpenAlexW1987279787MaRDI QIDQ1057571

Aidan Sudbury, Peter Clifford

Publication date: 1985

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176993008

zbMATH Keywords

birth and death processesinfinite particle systemsdual process

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)

Related Items (13)

Asymptotic behaviour of ancestral lineages in subcritical continuous-state branching populations ⋮ Finite-time implications of relaxation times for stochastically monotone processes ⋮ Pathwise duals of monotone and additive Markov processes ⋮ General selection models: Bernstein duality and minimal ancestral structures ⋮ Lines of descent in a Moran model with frequency-dependent selection and mutation ⋮ Commutative monoid duality ⋮ On the notion(s) of duality for Markov processes ⋮ A probabilistic view on the deterministic mutation-selection equation: dynamics, equilibria, and ancestry via individual lines of descent ⋮ Some remarks on the duality of continuous time markov chains ⋮ Coalescences in continuous-state branching processes ⋮ The invariant measure of PushASEP with a wall and point-to-line last passage percolation ⋮ Monotone Stochastic Recursions and their Duals ⋮ Analysis of non-reversible Markov chains via similarity orbits

This page was built for publication: A sample path proof of the duality for stochastically monotone Markov processes