The Annals of Probability

Potentials of Markov Processes without Duality

Christopher H. Nevison

Full-text: Open access

Abstract

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 $B$.

Article information

Source
Ann. Probab., Volume 4, Number 3 (1976), 497-501.

Dates
First available in Project Euclid: 19 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aop/1176996101

Digital Object Identifier
doi:10.1214/aop/1176996101

Mathematical Reviews number (MathSciNet)
MR408006

Zentralblatt MATH identifier
0339.60072

JSTOR
links.jstor.org

Subjects
Primary: 60J45: Probabilistic potential theory [See also 31Cxx, 31D05]
Secondary: 31C15: Potentials and capacities

Keywords
Additive functional balayage duality excessive function Markov process potential

Citation

Nevison, Christopher H. Potentials of Markov Processes without Duality. Ann. Probab. 4 (1976), no. 3, 497--501. doi:10.1214/aop/1176996101. https://projecteuclid.org/euclid.aop/1176996101


Export citation