On homogeneous and oscillating random walks on the integers

Julien Brémont (1)

1 LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées

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.

Mots clés: AMS 2020 subject classifications : 60G17; 60J10 Homogeneous random walk; oscillating random walk; recurrence criterion

Domaines: Probabilités [math.PR]; Systèmes dynamiques [math.DS]

Julien Brémont. On homogeneous and oscillating random walks on the integers. Probability Surveys, 2023, 20, pp.87-112. ⟨10.1214/23-PS13⟩. ⟨hal-03376996v2⟩