Potential Analysis

, Volume 4, Issue 3, pp 245–267 | Cite as

Potential theory related to some multiparameter processes

  • Francis Hirsch


In a first part, we present a potential theory constructed form a continuous kernel on a locally compact space. The notions of capacity, quasi-continuity, equilibrium measures and potentials are specially studied. In a second part, we particularize the framework, and, in the third part, we give probabilistic interpretations in this particular case. The process then involved is a sum of independent symmetric Levy processes in ℝ d , viewed as a multiparameter process. For instance, hitting probabilities for the process are estimated in terms of capacity.

Mathematics Subject Classifications (1991)

Primary 31C15 60J30 60J45 Secondary 60J55 

Key words

Potential theory capacity multiparameter process 


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Copyright information

© Kluwer Academic Publishers 1995

Authors and Affiliations

  • Francis Hirsch
    • 1
  1. 1.Equipe d'Analyse et ProbabilitésUniversité d'Evry Val d'EssonneEvry cedexFrance

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