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February 2001 Strongly supermedian kernels and Revuz measures
Lucian Beznea, Nicu Boboc
Ann. Probab. 29(1): 418-436 (February 2001). DOI: 10.1214/aop/1008956337


In the frame of Borel right Markov processes, we investigate, following an analytical point of view, the Revuz correspondence between classes of potential kernels and their associated measures, improving upon the results of Revuz, Azéma, Getoor and Sharpe, Fitzsimmons, Fitzsimmons and Getoor and Dellacherie, Maisonneuve and Meyer. In the probabilistic approach of the problem, the kernels that occur are the potential operators of different types of homogeneous random measures. We completely characterize the hypothesis (B) of Hunt in terms of Revuz measures.


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Lucian Beznea. Nicu Boboc. "Strongly supermedian kernels and Revuz measures." Ann. Probab. 29 (1) 418 - 436, February 2001.


Published: February 2001
First available in Project Euclid: 21 December 2001

zbMATH: 1025.60031
MathSciNet: MR1825157
Digital Object Identifier: 10.1214/aop/1008956337

Primary: 60J40 , 60J45
Secondary: 31C15 , 31D05

Keywords: homogeneous random measure , potential kernel , Revus measure

Rights: Copyright © 2001 Institute of Mathematical Statistics

Vol.29 • No. 1 • February 2001
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