On homogeneous and oscillating random walks on the integers

Julien Brémont

Preprints, Working Papers, ...

On homogeneous and oscillating random walks on the integers

Julien Brémont ¹

1 LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées

Abstract : Considering homogeneous and oscillating random walks on the integers, we simplify classical works on recurrence of Spitzer and Kemperman, respectively. Some links with renewal theory are discussed.

Keywords : AMS 2020 subject classifications : 60G17 60J10 Homogeneous random walk oscillating random walk recurrence criterion AMS 2020 subject classifications : 60G17

Document type :

Preprints, Working Papers, ...

Domain :

Mathematics [math] / Probability [math.PR]

Mathematics [math] / Dynamical Systems [math.DS]

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https://hal.archives-ouvertes.fr/hal-03376996
Contributor : Julien Brémont Connect in order to contact the contributor
Submitted on : Tuesday, January 25, 2022 - 11:25:12 AM
Last modification on : Thursday, February 10, 2022 - 9:52:54 AM

On homogeneous and oscillating random walks on the integers

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On homogeneous and oscillating random walks on the integers

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86

80