Some topics in random walks

We collect a few recent results on random walks, which are ubiquitous in probability theory. The topics covered are: persistence problems for stochastic processes, large fluctuations in multi-scale modeling for rest hematopoiesis, and fine properties of the elephant random walk.

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Publication Details

Journal
ESAIM Proceedings and Surveys
Published
2025-01-01
DOI
https://doi.org/10.1051/proc/202580051
Primary Topic
Algorithms and Data Compression
Type
article
Field-Weighted Citation Impact
0.00
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article

Some topics in random walks

Lucile Laulin, Kilian Raschel, Céline Bonnet, Quentin Berger
ESAIM Proceedings and Surveys
Algorithms and Data Compression
article

Some topics in random walks

Lucile Laulin, Kilian Raschel, Céline Bonnet, Quentin Berger
article en

Abstract

We collect a few recent results on random walks, which are ubiquitous in probability theory. The topics covered are: persistence problems for stochastic processes, large fluctuations in multi-scale modeling for rest hematopoiesis, and fine properties of the elephant random walk.

ESAIM Proceedings and SurveysVol. 80
École Normale Supérieure de Lyon (FR), Centre National de la Recherche Scientifique (FR), École Normale Supérieure - PSL (FR), Sorbonne Université (FR), Université Paris Nanterre (FR), École Normale Supérieure (BI), Laboratoire Angevin de Recherche en Mathématiques (FR), Département de mathématiques et applications (FR), Laboratoire de Probabilités et Modèles Aléatoires (FR), Unité de Mathématiques Pures et Appliquées (FR)
Openalex Percentile: Top 98%
Algorithms and Data Compression
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Some topics in random walks — Lucile Laulin, Kilian Raschel, et al. · ESAIM Proceedings and Surveys (2025) | TGRS Research Map | TGRS