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.
Publié le : 2009-05-15
Classification:
Branching Brownian motion,
random environment,
localization,
Poisson random measure,
Ito's formula,
60K37,
60G44,
60G57,
60J80
@article{1264084496,
author = {Shiozawa, Yuichi},
title = {Localization for branching Brownian motions in random environment},
journal = {Tohoku Math. J. (2)},
volume = {61},
number = {1},
year = {2009},
pages = { 483-497},
language = {en},
url = {http://dml.mathdoc.fr/item/1264084496}
}
Shiozawa, Yuichi. Localization for branching Brownian motions in random environment. Tohoku Math. J. (2), Tome 61 (2009) no. 1, pp. 483-497. http://gdmltest.u-ga.fr/item/1264084496/