Quasimartingales associated to Markov processes

DOI10.1090/tran/7214zbMath1425.60068arXiv1702.06282OpenAlexW2589651310MaRDI QIDQ4586329

Lucian Beznea, Iulian Cîmpean

Publication date: 13 September 2018

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

Full work available at URL: https://arxiv.org/abs/1702.06282

zbMATH Keywords

Markov processDirichlet formsemimartingaleexcessive functionquasimartingaleFukushima decompositionsmooth measure.

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Dirichlet forms (31C25) Probabilistic potential theory (60J45) Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Local time and additive functionals (60J55) Transition functions, generators and resolvents (60J35) Multiplicative functionals and Markov processes (60J57) Right processes (60J40)

Related Items (2)

A natural extension of Markov processes and applications to singular SDEs ⋮ Smooth measures and capacities associated with nonlocal parabolic operators

Cites Work

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• Dirichlet forms and symmetric Markov processes.
• From resolvents to càdlàg processes through compact excessive functions and applications to singular SDE on Hilbert spaces
• Reflection Brownian motions: Quasimartingales and strong Caccioppoli sets
• Quasi-regular Dirichlet forms and \(L^p\)-resolvents on measurable spaces
• Introduction to the theory of (non-symmetric) Dirichlet forms
• Potential theory of subordinate killed Brownian motion in a domain
• BV functions and distorted Ornstein Uhlenbeck processes over the abstract Wiener space
• Irreducible recurrence, ergodicity, and extremality of invariant measures for resolvents
• Markov processes associated with semi-Dirichlet forms
• On semi-martingale characterizations of functionals of symmetric Markov processes
• Semi-Dirichlet forms and Markov processes
• Subordination in the wide sense for Lévy processes
• Subordination in the sense of Bochner of \(L^p\)-semigroups and associated Markov processes
• Measure-valued discrete branching Markov processes
• On subordination of resolvents and application to right processes
• The Semimartingale Structure of Reflecting Brownian Motion
• Adding and Subtracting Jumps from Markov Processes
• Semimartingales and Markov processes
• One-Parameter Semigroups for Linear Evolution Equations

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