Translator Disclaimer
2015 Maximal displacement in a branching random walk through interfaces
Bastien Mallein
Author Affiliations +
Electron. J. Probab. 20: 1-40 (2015). DOI: 10.1214/EJP.v20-2828

Abstract

In this article, we study a branching random walk in an environment which depends on the time. This time-inhomogeneous environment consists of a sequence of macroscopic time intervals, in each of which the law of reproduction remains constant. We prove that the asymptotic behaviour of the maximal displacement in this process consists of a first ballistic order, given by the solution of an optimization problem under constraints, a negative logarithmic correction, plus stochastically bounded fluctuations.

Citation

Download Citation

Bastien Mallein. "Maximal displacement in a branching random walk through interfaces." Electron. J. Probab. 20 1 - 40, 2015. https://doi.org/10.1214/EJP.v20-2828

Information

Accepted: 21 June 2015; Published: 2015
First available in Project Euclid: 4 June 2016

zbMATH: 1321.60179
MathSciNet: MR3361256
Digital Object Identifier: 10.1214/EJP.v20-2828

Subjects:
Primary: 60J80
Secondary: 60G50

JOURNAL ARTICLE
40 PAGES


SHARE
Vol.20 • 2015
Back to Top