A criterion for invariant measures of Itô processes based on the symbol

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Abstract

An integral criterion for the existence of an invariant measure of an Itô process is developed. This new criterion is based on the probabilistic symbol of the Itô process. In contrast to the standard integral criterion for invariant measures of Markov processes based on the generator, no test functions and hence no information on the domain of the generator is needed.

Details

Original languageEnglish
Pages (from-to)1697-1718
Journal Bernoulli : official journal of the Bernoulli Society for Mathematical Statistics and Probability
Volume21
Issue number3
Publication statusPublished - 2015
Peer-reviewedYes

External IDs

Scopus 84938631588

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