Markov processes and Martin boundaries

DOI10.1090/S0002-9904-1963-10937-4zbMath0114.33603WikidataQ113822711 ScholiaQ113822711MaRDI QIDQ5722595

Takesi Watanabe, Hiroshi Kunita

Publication date: 1963

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

probability theory

Related Items (8)

Markov Processes and Their Applications to Partial Differential Equations: Kuznetsov’s Contributions ⋮ Some theorems on time change and killing of Markov processes ⋮ Martin boundaries for the direct product of Markov processes ⋮ Asymptotic behavior of the occupancy density for obliquely reflected Brownian motion in a half-plane and Martin boundary ⋮ Théoreme de Fatou et frontière de Martin ⋮ Nonhomogeneous Markov processes ⋮ On the Harmonic Measure of Stable Processes ⋮ Explicit solutions in one-sided optimal stopping problems for one-dimensional diffusions

Cites Work

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• Le problème de Dirichlet. Axiomatique et frontière de Martin
• Resolvents, transition functions, and strongly Markovian processes
• Markoff chains and Martin boundaries
• Markoff processes and potentials. I, II, III
• Fonctionnelles multiplicatives et additives de Markov
• On the equivalence of excessive functions and superharmonic functions in the theory of Markov processes, I
• On the theory of Martin boundaries induced by countable Markov processes
• Minimal Positive Harmonic Functions
• Markov processes with identical hitting distributions

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