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.
Citation
Yuichi Shiozawa. "Localization for branching Brownian motions in random environment." Tohoku Math. J. (2) 61 (4) 483 - 497, 2009. https://doi.org/10.2748/tmj/1264084496
Information