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Markov Processes Associated to Resistance Forms.

Authors :
Vlădoiu, Speranţa
Source :
Complex Analysis & Operator Theory; Dec2017, Vol. 11 Issue 8, p1905-1916, 12p
Publication Year :
2017

Abstract

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
16618254
Volume :
11
Issue :
8
Database :
Complementary Index
Journal :
Complex Analysis & Operator Theory
Publication Type :
Academic Journal
Accession number :
125928277
Full Text :
https://doi.org/10.1007/s11785-017-0712-2