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 | |
| Publication status | Published - Dec 2009 |
Keywords
- Branching brownian motion
- Ito's formula
- Localization
- Poisson random measure
- Random environment
ASJC Scopus subject areas
- Mathematics(all)