Riesz Decompositions in Markov Process Theory

DOI10.2307/1999475zbMath0547.60076OpenAlexW4242749954MaRDI QIDQ3339058

Joseph Glover, Ronald Getoor

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/1999475

zbMATH Keywords

weak dualityexcessive measuresexcessive functionsRiesz decomposition theoremtransient Borel right processes

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Probabilistic potential theory (60J45) Right processes (60J40)

Related Items (22)

General gauge and conditional gauge theorems ⋮ On the potential theory of symmetric Markov processes ⋮ A refinement of analytic characterizations of gaugeability for generalized Feynman-Kac functionals ⋮ Homogeneous random measures for Markov processes in weak duality: Study via an entrance boundary ⋮ Trace operator and the Dirichlet problem for elliptic equations on arbitrary bounded open sets ⋮ Drift transforms and Green function estimates for discontinuous processes ⋮ An Application of Flows to Time Shift and Time Reversal in Stochastic Processes ⋮ Time reversal of Markov processes and relativistic quantum theory ⋮ Reduced measures for semilinear elliptic equations involving Dirichlet operators ⋮ Duality and integral representation for excessive measures ⋮ Potential-theoretic nature of Hardy's inequality for Dirichlet forms ⋮ Potential theory of moderate Markov dual processes ⋮ Markov processes and nonsymmetric Dirichlet forms without regularity ⋮ A fine domination principle for excessive measures ⋮ On the excursions of Markov processes in classical duality ⋮ 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 ⋮ Hardy's inequality for Dirichlet forms ⋮ Additive functionals and entrance laws ⋮ Excessive measures and Markov processes with random birth and death ⋮ Capacity theory without duality ⋮ Gaugeability and conditional gaugeability

Cites Work

• Markoff processes and potentials. I, II, III
• Markov processes with identical excessive measures
• Markov processes: Ray processes and right processes
• Naturality, standardness, and weak duality for Markov processes
• [https://portal.mardi4nfdi.de/wiki/Publication:5603640 Mesures associ�es aux fonctionnelles additives de Markov. II]
• Markov processes and their functional in duality
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Riesz Decompositions in Markov Process Theory