2019arXiv (Cornell University)Open access

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

Masayoshi Takeda

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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 $X$.

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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 $X$.

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Available 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 $X$.

Key concepts: Uniqueness, Property (philosophy), Mathematics, Markov chain, Explosive material, Markov property, Markov process, Applied mathematics

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