The Spread of a Catalytic Branching Random Walk

We consider a random walk on $\Z$ that branches at the origin only. In the supercritical regime we establish a law of large number for the maximal position $M_n$. Then we determine all possible limiting law for the sequence $M_n -\alpha n$ where $\alpha$ is a deterministic constant.

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Field Value
Source ISSN: 0020-2347
Author Carmona, Philippe, Hu, Yueyun
Maintainer CCSD
Last Updated November 1, 2026, 19:04 (UTC)
Created November 1, 2026, 19:04 (UTC)
Identifier hal-00665271
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Laboratoire de Mathématiques Jean Leray (LMJL) ; Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST) ; Université de Nantes (UN)-Université de Nantes (UN)-Centre National de la Recherche Scientifique (CNRS)
creator Carmona, Philippe
date 2014-11-01T00:00:00
harvest_object_id c153ae3c-d9ba-45c6-a849-dc027d87817d
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2026-06-06T00:00:00
relation info:eu-repo/semantics/altIdentifier/arxiv/1202.0637
set_spec type:ART