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Some notes on Lamperti's recurrence of stochastic sequences

Published 27 Jun 2025 in math.PR | (2506.21829v1)

Abstract: 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, A new criterion for recurrence of Markov chains with infinitely countable set of states. \emph{Theor. Probab. Math. Stat.} \textbf{112} (2025), 1--15].

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Authors (1)

  1. Vyacheslav M. Abramov 

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