ISSN:
1572-929X
Keywords:
Primary
;
31C15
;
60J30
;
60J45
;
Secondary
;
60J55
;
Potential theory
;
capacity
;
multiparameter process
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract 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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01071696
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