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arxiv: 2506.21829 · v4 · pith:JDGIIOSQnew · submitted 2025-06-27 · 🧮 math.PR

Some notes on Lamperti's recurrence of stochastic sequences

classification 🧮 math.PR
keywords lampertirecurrencesequencesstochastictheoremabramovanotherauthor
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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].

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