English

Some notes on Lamperti's recurrence of stochastic sequences

Probability 2026-05-26 v4

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, Theor. Probab. Math. Stat. 112 (2025), 1--15].

Keywords

Cite

@article{arxiv.2506.21829,
  title  = {Some notes on Lamperti's recurrence of stochastic sequences},
  author = {Vyacheslav M. Abramov},
  journal= {arXiv preprint arXiv:2506.21829},
  year   = {2026}
}

Comments

13 double spaced pages, revision

R2 v1 2026-07-01T03:35:36.256Z