| Texto completo | |
| Autor(es): |
Número total de Autores: 2
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| Afiliação do(s) autor(es): | [1] Free Univ Berlin, Inst Math, Berlin - Germany
Número total de Afiliações: 1
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| Tipo de documento: | Artigo Científico |
| Fonte: | ANNALS OF PROBABILITY; v. 49, n. 2, p. 908-943, MAR 2021. |
| Citações Web of Science: | 0 |
| Resumo | |
We study the scaling limit of a branching random walk in static random environment in dimension d = 1, 2 and show that it is given by a superBrownian motion in a white noise potential. In dimension 1 we characterize the limit as the unique weak solution to the stochastic PDE partial derivative t mu=(Delta+xi)mu+root 2 nu mu xi for independent space white noise xi and space-time white noise (xi) over tilde. In dimension 2 the study requires paracontrolled theory and the limit process is described via a martingale problem. In both dimensions we prove persistence of this rough version of the super-Brownian motion. (AU) | |
| Processo FAPESP: | 15/50122-0 - Fenômenos dinâmicos em redes complexas: fundamentos e aplicações |
| Beneficiário: | Elbert Einstein Nehrer Macau |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |