Some notes on Lamperti's recurrence of stochastic sequences

Fuente: arXiv
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Main Author: Abramov, Vyacheslav M.
Format: Preprint
Published: 2025
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_version_ 1866916043869388800
author Abramov, Vyacheslav M.
author_facet Abramov, Vyacheslav M.
contents The present study provides another look on Lamperti's theorem on recurrence or transience of stochastic sequences. We establish connection between Lamperti's theorem and the recent result by the author [V. M. Abramov, Theor. Probab. Math. Stat. 112 (2025), 1--15].
format Preprint
id arxiv_https___arxiv_org_abs_2506_21829
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Some notes on Lamperti's recurrence of stochastic sequences
Abramov, Vyacheslav M.
Probability
60J05, 60J10, 60J80
The present study provides another look on Lamperti's theorem on recurrence or transience of stochastic sequences. We establish connection between Lamperti's theorem and the recent result by the author [V. M. Abramov, Theor. Probab. Math. Stat. 112 (2025), 1--15].
title Some notes on Lamperti's recurrence of stochastic sequences
topic Probability
60J05, 60J10, 60J80
url https://arxiv.org/abs/2506.21829