TY - JOUR
T1 - Localization for branching brownian motions in random environment
AU - Shiozawa, Yuichi
N1 - Copyright:
Copyright 2010 Elsevier B.V., All rights reserved.
PY - 2009/12
Y1 - 2009/12
N2 - 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.
AB - 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.
KW - Branching brownian motion
KW - Ito's formula
KW - Localization
KW - Poisson random measure
KW - Random environment
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U2 - 10.2748/tmj/1264084496
DO - 10.2748/tmj/1264084496
M3 - Article
AN - SCOPUS:77649280424
VL - 61
SP - 483
EP - 497
JO - Tohoku Mathematical Journal
JF - Tohoku Mathematical Journal
SN - 0040-8735
IS - 4
ER -