| Issue |
ESAIM: ProcS
Volume 80, 2025
Journées MAS 2022 - Dynamic and Stochastic Modelling
|
|
|---|---|---|
| Page(s) | 51 - 71 | |
| DOI | https://doi.org/10.1051/proc/202580051 | |
| Published online | 19 March 2025 | |
Some topics in random walks
1
Sorbonne Université, Laboratoire de Probabilités, Statistique et Modélisation, Paris, France
2
École Normale Supérieure, Département de Mathématiques et Applications, Paris, France
3
Inria, École Normale Supérieure de Lyon, Unitéde Mathématiques Pures et Appliquées, Lyon, France
4
UniversitéParis Nanterre, Modal’X, Nanterre, France
5
CNRS, Universitéd’Angers, Laboratoire Angevin de Recherche en Mathématiques, Angers, France
a
e-mail: quentin.berger@sorbonne-universite.fr
b
e-mail: celine.bonnet@ens-lyon.fr
c
e-mail: lucile.laulin@math.cnrs.fr
d
e-mail: raschel@math.cnrs.fr
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.
© EDP Sciences, SMAI 2025
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