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On homogeneous and oscillating random walks on the integers

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Publication:2683170
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DOI10.1214/23-PS13MaRDI QIDQ2683170

Julien Brémont

Publication date: 3 February 2023

Published in: Probability Surveys (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.07215

zbMATH Keywords

oscillating random walkhomogeneous random walkrecurrence criterion


Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Sample path properties (60G17)


Related Items

The oscillating random walk on \(\mathbb{Z}\)



Cites Work

  • Denumerable Markov chains. Generating functions, boundary theory, random walks on trees.
  • The oscillating random walk
  • Random walk on countably infinite Abelian groups
  • Potential theory of random wlaks on Abelian groups
  • Random walks. I
  • A property of power series with positive coefficients
  • Potentials for denumerable Markov chains
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