On homogeneous and oscillating random walks on the integers

被引：0

作者：

Bremont, Julien ^{[1
,2
]}

机构：

[1] Univ Paris Est Creteil, CNRS, LAMA, F-94010 Creteil, France

[2] Univ Gustave Eiffel, LAMA, F-77447 Marne La Vallee, France

来源：

PROBABILITY SURVEYS | 2023年 / 20卷

关键词：

Homogeneous random walk; oscillating random walk; recurrence criterion;

D O I：

10.1214/23-PS13

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We simplify the proof of Spitzer's recurrence criterion for ho-mogeneous random walks on the integers. Kemp erman's oscillating random walk is next revisited and preliminaries for a Spitzer's type result are es-tablished.

引用

页码：87 / 112

页数：26

共 50 条

[21] Anisotropic branching random walks on homogeneous trees
Irene Hueter
Steven P. Lalley
Probability Theory and Related Fields, 2000, 116 : 57 - 88
[22] Anisotropic branching random walks on homogeneous trees
Hueter, I
Lalley, SP
PROBABILITY THEORY AND RELATED FIELDS, 2000, 116 (01) : 57 - 88
[23] Spread out random walks on homogeneous spaces
Prohaska, Roland
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2021, 41 (11) : 3439 - 3473
[24] Homogeneous Superpixels from Markov Random Walks
Perbet, Frank
Stenger, Bjoern
Maki, Atsuto
IEICE TRANSACTIONS ON INFORMATION AND SYSTEMS, 2012, E95D (07): : 1740 - 1748
[25] Homogeneous Open Quantum Random Walks on a Lattice
Raffaella Carbone
Yan Pautrat
Journal of Statistical Physics, 2015, 160 : 1125 - 1153
[26] Random walks on finite volume homogeneous spaces
Yves Benoist
Jean-Francois Quint
Inventiones mathematicae, 2012, 187 : 37 - 59
[27] Homogeneous Open Quantum Random Walks on a Lattice
Carbone, Raffaella
Pautrat, Yan
JOURNAL OF STATISTICAL PHYSICS, 2015, 160 (05) : 1125 - 1153
[28] The spectral matrices associated with the stochastic Darboux transformations of random walks on the integers
de la Iglesia, Manuel D.
Juarez, Claudia
JOURNAL OF APPROXIMATION THEORY, 2020, 258
[29] EXTREME VALUE THEORY FOR RANDOM WALKS ON HOMOGENEOUS SPACES
Kirsebom, Maxim Solund
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2014, 34 (11) : 4689 - 4717
[30] RANDOM WALKS AND APPROXIMATE INTEGRATION ON COMPACT HOMOGENEOUS SPACES
Taylor, Michael
ILLINOIS JOURNAL OF MATHEMATICS, 2013, 57 (02) : 559 - 576

← 1 2 3 4 5 →