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arXiv · 2406.19846

On polynomial recurrence property of "Markov-up" processes

Diana Kalikaeva
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Abstract

This work is a continuation of [Kalikaeva, MPRF, 23(2):225-240]. The object of study is ``Markov-up processes'' on $\mathbb Z_+$ and the moment of downcrossing a certain barrier. The processes considered in this paper differ from Markov ones by the presence of a memory in certain parts of the trajectory. In our previous paper [Kalikaeva, MPRF, 23(2):225-240] exponential recurrence conditions were established. In this paper polynomial recurrence properties are considered under certain new assumptions.

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Diana Kalikaeva. 2024-06-28. On polynomial recurrence property of "Markov-up" processes. https://arxiv.org/abs/2406.19846

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