Markov Processes Associated to Resistance Forms

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作者
Speranţa Vlădoiu
机构
[1] University of Bucharest,Faculty of Mathematics and Computer Science
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关键词
Resistance form; Dirichlet form; Markov process; H-cone; Resolvent of kernels; Excessive function; Capacity; 31C25; 60J45; 28A80; 31C15; 60J35; 31D05; 60J55;
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摘要
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.
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页码:1905 / 1916
页数:11
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