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arXiv · 2302.11782

Asymptotic stability for non-equicontinuous Markov semigroups

Fuzhou Gong·Yong Liu·Yuan Liu·Ziyu Liu
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Abstract

We formulate a new criterion of the asymptotic stability for some non-equicontinuous Markov semigroups, the so-called eventually continuous semigroups. In particular, we provide a non-equicontinuous Markov semigroup example with essential randomness, which is asymptotically stable.

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Fuzhou Gong, Yong Liu, Yuan Liu, Ziyu Liu. 2023-02-23. Asymptotic stability for non-equicontinuous Markov semigroups. https://arxiv.org/abs/2302.11782

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