Excessive measures and Markov processes with random birth and death

DOI10.1007/BF00334189zbMath0584.60085OpenAlexW2070884507MaRDI QIDQ1069566

Patrick J. Fitzsimmons, Bernard Maisonneuve

Publication date: 1986

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00334189

zbMATH Keywords

Markov semigroupexcessive measureHunt balayagerandom birth and death timesRiesz type decompositions

Mathematics Subject Classification ID

Probabilistic potential theory (60J45)

Related Items (20)

On the potential theory of symmetric Markov processes ⋮ Revuz measures and time changes ⋮ Excessive measures for linear diffusions ⋮ Homogeneous random measures for Markov processes in weak duality: Study via an entrance boundary ⋮ On the equivalence of three potential principles for right Markov processes ⋮ Energy functionals and killing transform ⋮ H-cones of excessive measures on a locally compact semigroup ⋮ Isomorphism theorems, extended Markov processes and random interlacements ⋮ Stochastic Processes in the Decades after 1950 ⋮ Birth and death of a stationary Markov process ⋮ Decomposition formulae for Dirichlet forms and their corollaries ⋮ Duality and integral representation for excessive measures ⋮ Potential theory of moderate Markov dual processes ⋮ Invariant sets and ergodic decomposition of local semi-Dirichlet forms ⋮ Lévy Systems and Time Changes ⋮ Homogeneous Random Measures and a Weak Order for the Excessive Measures of a Markov Process ⋮ Excessive Measures and the Existence of Right Semigroups and Processes ⋮ The dialectics archetypes/types (universal categorical constructions/concrete models) in the work of Alexander Grothendieck ⋮ Stopping distributions for right processes ⋮ Capacity theory without duality

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Markov processes with identical excessive measures
• Excursion laws of Markov processes in classical duality
• Classification of coharmonic and coinvariant functions for a Levy process
• Markov processes: Ray processes and right processes
• Exit systems
• Excursions of a Markov process
• Riesz Decompositions in Markov Process Theory
• Naturality, standardness, and weak duality for Markov processes
• Excursions of Markov processes: An approach via Markov additive processes
• Minimal Excessive Measures and Functions
• Construction of Markov Processes with Random Times of Birth and Death
• Dual Markov processes: Construction of a useful auxiliary process

This page was built for publication: Excessive measures and Markov processes with random birth and death