From resolvents to càdlàg processes through compact excessive functions and applications to singular SDE on Hilbert spaces

DOI10.1016/j.bulsci.2011.07.002zbMath1239.60078OpenAlexW2081401239MaRDI QIDQ645954

Michael Roeckner, Lucian Beznea

Publication date: 11 November 2011

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2011.07.002

zbMATH Keywords

Lyapunov functionHilbert spaceright processstandard processresolvent of kernelstight capacitycàdlàg trajectoriessingular SDE

Mathematics Subject Classification ID

Dirichlet forms (31C25) Markov semigroups and applications to diffusion processes (47D07) Probabilistic potential theory (60J45) Transition functions, generators and resolvents (60J35) Right processes (60J40)

Related Items (15)

Applications of compact superharmonic functions: path regularity and tightness of capacities ⋮ Quasimartingales associated to Markov processes ⋮ Markov processes associated to resistance forms ⋮ Stochastic solutions to evolution equations of non-local branching processes ⋮ \(h\)-transform of Doob and nonlocal branching processes ⋮ Subordination in the sense of Bochner of \(L^p\)-semigroups and associated Markov processes ⋮ Potential theory of infinite dimensional Lévy processes ⋮ Irreducible recurrence, ergodicity, and extremality of invariant measures for resolvents ⋮ Markov processes on the Lipschitz boundary for the Neumann and Robin problems ⋮ Branching processes for the fragmentation equation ⋮ Measure-valued discrete branching Markov processes ⋮ A natural extension of Markov processes and applications to singular SDEs ⋮ On the existence of the dual right Markov process and applications ⋮ Evolution of states of an infinite particle system with nonlocal branching ⋮ Continuous flows driving branching processes and their nonlinear evolution equations

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