On the potential theory of symmetric Markov processes

DOI10.1007/BF01457159zbMath0627.60067OpenAlexW1973047506MaRDI QIDQ1092520

Patrick J. Fitzsimmons, Ronald Getoor

Publication date: 1988

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164435

zbMATH Keywords

additive functionalsDirichlet spacessymmetric Markov processesexcessive functionspotential of a measure

Mathematics Subject Classification ID

Probabilistic potential theory (60J45) Local time and additive functionals (60J55)

Related Items (20)

A class of path-valued Markov processes and its applications to superprocesses ⋮ Markov properties of multiparameter processes and capacities ⋮ a general correspondence between\\ Dirichlet forms and right processes ⋮ Fleming-Viot couples live forever ⋮ Non-symmetric perturbations of symmetric Dirichlet forms. ⋮ Dynamical circle covering with homogeneous Poisson updating ⋮ Exit law and basic semigroups ⋮ Reflection Brownian motions: Quasimartingales and strong Caccioppoli sets ⋮ On Subordination of Convolution Semigroups ⋮ Dynamical models for circle covering: Brownian motion and Poisson updating ⋮ Quantitative noise sensitivity and exceptional times for percolation ⋮ Superposition operators on Dirichlet spaces ⋮ Patterns in Random Walks and Brownian Motion ⋮ Markov processes and nonsymmetric Dirichlet forms without regularity ⋮ Time changes of symmetric Markov processes and a Feynman-Kac formula ⋮ A formula for energy functionals ⋮ Hardy's inequality for Dirichlet forms ⋮ Stopping distributions for right processes ⋮ On the representation by exit laws ⋮ Hitting probabilities and potential theory for the Brownian path-valued process

Cites Work

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• The energy functional, balayage, and capacity
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• DIRICHLET SPACES
• Riesz Decompositions in Markov Process Theory
• Naturality, standardness, and weak duality for Markov processes
• Homogeneous Random Measures and a Weak Order for the Excessive Measures of a Markov Process
• Dual Markov processes: Construction of a useful auxiliary process
• Markov processes and their functional in duality
• Théorie du potentiel newtonien : énergie, capacité, suites de potentiels

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