Harmonic functions associated with several Markov processes

DOI10.1016/0196-8858(81)90007-5zbMath0479.60057OpenAlexW1974698271MaRDI QIDQ1162062

E. B. Dynkin

Publication date: 1981

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0196-8858(81)90007-5

zbMATH Keywords

Dirichlet problemmultiparameter process

Mathematics Subject Classification ID

Random fields (60G60) Probabilistic potential theory (60J45)

Related Items (12)

Choquet-type integral representation of polysupermedian measures ⋮ On Gårding's inequality ⋮ Symmetric Skorohod topology on \(n\)-variable functions and hierarchical Markov properties of \(n\)-parameter processes ⋮ Markov properties of multiparameter processes and capacities ⋮ Krylov-Safonov estimates for a degenerate diffusion process ⋮ Garding's inequality for elliptic differential operator with infinite number of variables ⋮ Stochastic Waves ⋮ Hopf type lemmas for subsolutions of integro-differential equations ⋮ Green's and Dirichlet spaces associated with fine Markov processes ⋮ Two parameter optimal stopping and bi-Markov processes ⋮ Optimal stopping and supermartingales over partially ordered sets ⋮ Toward a stochastic calculus for several Markov processes

Cites Work

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• Toward a stochastic calculus for several Markov processes
• Additive functionals of several time-reversible Markov processes
• Green's and Dirichlet spaces associated with fine Markov processes
• Stochastic Waves
• Markov processes and random fields
• Markov processes with creation of particles

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