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2023 On homogeneous and oscillating random walks on the integers
Julien Brémont
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Probab. Surveys 20: 87-112 (2023). DOI: 10.1214/23-PS13


We simplify the proof of Spitzer’s recurrence criterion for homogeneous random walks on the integers. Kemperman’s oscillating random walk is next revisited and preliminaries for a Spitzer’s type result are established.


We thank the Editor for helping to end the reviewing process and the reviewer for useful remarks.


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Julien Brémont. "On homogeneous and oscillating random walks on the integers." Probab. Surveys 20 87 - 112, 2023.


Received: 1 January 2022; Published: 2023
First available in Project Euclid: 15 January 2023

MathSciNet: MR4533741
Digital Object Identifier: 10.1214/23-PS13

Primary: 60G17
Secondary: 60J10

Keywords: Homogeneous random walk , oscillating random walk , recurrence criterion

Vol.20 • 2023
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