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June, 1976 Potentials of Markov Processes without Duality
Christopher H. Nevison
Ann. Probab. 4(3): 497-501 (June, 1976). DOI: 10.1214/aop/1176996101


The potential of a natural additive functional of a transient standard process is represented as a potential of a measure without the usual assumption of strong duality for the process. The balavage on a Borel set, $B$, of the potential of an additive functional or bounded function is represented as the potential of a measure supported by the closure of $B$.


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Christopher H. Nevison. "Potentials of Markov Processes without Duality." Ann. Probab. 4 (3) 497 - 501, June, 1976.


Published: June, 1976
First available in Project Euclid: 19 April 2007

zbMATH: 0339.60072
MathSciNet: MR408006
Digital Object Identifier: 10.1214/aop/1176996101

Primary: 60J45
Secondary: 31C15

Keywords: additive functional , balayage , Duality , excessive function , Markov process , potential

Rights: Copyright © 1976 Institute of Mathematical Statistics

Vol.4 • No. 3 • June, 1976
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