Green's and Dirichlet spaces associated with fine Markov processes

DOI10.1016/0022-1236(82)90112-4zbMath0488.60083OpenAlexW1987343838MaRDI QIDQ1166199

E. B. Dynkin

Publication date: 1982

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(82)90112-4

zbMATH Keywords

additive functionalDirichlet spaceGreen potentialexcessive function

Mathematics Subject Classification ID

Probabilistic potential theory (60J45)

Related Items (18)

A class of path-valued Markov processes and its applications to superprocesses ⋮ Multiple path integrals ⋮ Formes de Dirichlet générales et densité des variables aléatoires réelles sur l'espace de Wiener. (General Dirichlet forms and density of real random variables on Wiener space) ⋮ On the potential theory of symmetric Markov processes ⋮ Classical Dirichlet forms on topological vector spaces - the construction of the associated diffusion process ⋮ a general correspondence between\\ Dirichlet forms and right processes ⋮ Harmonic functions associated with several Markov processes ⋮ On the abstract subordinated exit equation ⋮ Green's and Dirichlet spaces associated with fine Markov processes ⋮ Naturality, standardness, and weak duality for Markov processes ⋮ Pure fields of degree 9 with class number prime to 3 ⋮ Markov processes and nonsymmetric Dirichlet forms without regularity ⋮ Some central limit theorems for Markov paths and some properties of Gaussian random fields ⋮ Gaussian and non-Gaussian random fields associated with Markov processes ⋮ Additive functionals and entrance laws ⋮ Random fields associated with multiple points of the Brownian motion ⋮ Generalized Markov fields and Dirichlet forms ⋮ Hitting probabilities and potential theory for the Brownian path-valued process

Cites Work

• Additive functionals of several time-reversible Markov processes
• Harmonic functions associated with several Markov processes
• Green's and Dirichlet spaces associated with fine Markov processes
• Markov processes: Ray processes and right processes
• Sufficient statistics and extreme points
• Quelques applications des résolvantes de Ray. (Some applications of Ray resolvents)
• Construction of Markov Processes with Random Times of Birth and Death
• REGULAR MARKOV PROCESSES
• THE INITIAL AND FINAL BEHAVIOUR OF TRAJECTORIES OF MARKOV PROCESSES
• Markov processes with creation of particles
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