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Existence and Uniqueness of Quasi-stationary Distributions for Symmetric Markov Processes with Tightness Property

  • Masayoshi TakedaEmail author
Article
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Abstract

Let X be an irreducible symmetric Markov process with the strong Feller property. We assume, in addition, that X is explosive and has a tightness property. We then prove the existence and uniqueness of quasi-stationary distributions of X.

Keywords

Quasi-stationary distribution Symmetric Markov process Dirichlet form Yaglom limit Tightness 

Mathematics Subject Classification (2010)

60B10 60J25 37A30 31C25 

Notes

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Authors and Affiliations

  1. 1.Mathematical InstituteTohoku UniversityAoba, SendaiJapan

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