Markov Processes Associated to Resistance Forms

Markov Processes Associated to Resistance Forms

We give a method to associate a right Markov process to a resistance form, that is different from the one based on the regularity assumption for the associated Dirichlet form. We use tools from potential theory associated to resolvents of kernels and cones of potentials (H-cones). The induced capaci...

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Veröffentlicht in:Complex analysis and operator theory 2017-12, Vol.11 (8), p.1905-1916
1. Verfasser: Vlădoiu, Speranţa
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Cones
Continuity (mathematics)
Dirichlet problem
Functionals
Kernels
Markov processes
Mathematics
Mathematics and Statistics
Operator Theory
Potential theory
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Beschreibung
Zusammenfassung:We give a method to associate a right Markov process to a resistance form, that is different from the one based on the regularity assumption for the associated Dirichlet form. We use tools from potential theory associated to resolvents of kernels and cones of potentials (H-cones). The induced capacity and processes obtained by time change with the inverses of continuous additive functionals also occur.
ISSN:1661-8254
1661-8262
DOI:10.1007/s11785-017-0712-2