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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2406.19846 |
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Table of Contents:
- 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.