Applications of compact superharmonic functions: path regularity and tightness of capacities

DOI10.1007/s11785-010-0084-3zbMath1275.31002OpenAlexW2078283847MaRDI QIDQ371582

Lucian Beznea, Michael Roeckner

Publication date: 10 October 2013

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-010-0084-3

zbMATH Keywords

Lyapunov functionright processstandard processresolvent of kernelstight capacity

Mathematics Subject Classification ID

Probabilistic potential theory (60J45) Potentials and capacities on other spaces (31C15)

Related Items (11)

Stochastic equation of fragmentation and branching processes related to avalanches ⋮ Potential-theoretical methods in the construction of measure-valued Markov branching processes ⋮ Stochastic solutions to evolution equations of non-local branching processes ⋮ \(h\)-transform of Doob and nonlocal branching processes ⋮ On the quasi-regularity of non-sectorial Dirichlet forms by processes having the same polar sets ⋮ Subordination in the sense of Bochner of \(L^p\)-semigroups and associated Markov processes ⋮ From resolvents to càdlàg processes through compact excessive functions and applications to singular SDE on Hilbert spaces ⋮ Potential theory of infinite dimensional Lévy processes ⋮ Branching processes for the fragmentation equation ⋮ Measure-valued discrete branching Markov processes ⋮ A natural extension of Markov processes and applications to singular SDEs

Cites Work

• On the quasi-regularity of non-sectorial Dirichlet forms by processes having the same polar sets
• From resolvents to càdlàg processes through compact excessive functions and applications to singular SDE on Hilbert spaces
• Potential theory of infinite dimensional Lévy processes
• Quasi-regular Dirichlet forms and \(L^p\)-resolvents on measurable spaces
• Markov processes associated with \(L^{p}\)-resolvents and applications to stochastic differential equations on Hilbert space
• Construction and regularity of measure-valued Markov branching processes
• Introduction to the theory of (non-symmetric) Dirichlet forms
• Singular dissipative stochastic equations in Hilbert spaces
• Potential-theoretical methods in the construction of measure-valued Markov branching processes
• ON THE TIGHTNESS OF CAPACITIES ASSOCIATED WITH SUB-MARKOVIAN RESOLVENTS
• A note on Tightness of Capacities Associated with Dirichlet Forms
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