Localization for branching brownian motions in random environment

Yuichi Shiozawa

doi:10.2748/tmj/1264084496

Localization for branching brownian motions in random environment

Yuichi Shiozawa

Research output: Contribution to journal › Article

6 Citations (Scopus)

Abstract

We consider a model of branching Brownian motions in random environment associated with the Poisson random measure. We find a relation between the slow population growth and the localization property in terms of the replica overlap. Applying this result, we prove that, if the randomness of the environment is strong enough, this model possesses the strong localization property, that is, particles gather together at small sets.

Original language	English
Pages (from-to)	483-497
Number of pages	15
Journal	Tohoku Mathematical Journal
Volume	61
Issue number	4
DOIs	https://doi.org/10.2748/tmj/1264084496
Publication status	Published - Dec 2009

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Keywords

Branching brownian motion
Ito's formula
Localization
Poisson random measure
Random environment

ASJC Scopus subject areas

Mathematics(all)

Cite this

Shiozawa, Y. (2009). Localization for branching brownian motions in random environment. Tohoku Mathematical Journal, 61(4), 483-497. https://doi.org/10.2748/tmj/1264084496

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10.2748/tmj/1264084496