| Texto completo | |
| Autor(es): |
Klimek, Aleksander
;
Rosati, Tommaso Cornelis
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | ANNALS OF APPLIED PROBABILITY; v. 33, n. 3, p. 67-pg., 2023-06-01. |
| Resumo | |
We study the large scale behaviour of a population consisting of two types which evolve in dimension d = 1, 2 according to a spatial Lambda-Fleming-Viot process subject to random time-independent selection. If one of the two types is rare compared to the other, we prove that its evolution can be approximated by a super-Brownian motion in a random (and singular) en-vironment. Without the sparsity assumption, a diffusion approximation leads to a Fisher-KPP equation in a random potential. The proofs build on two -scale Schauder estimates and semidiscrete approximations of the Anderson Hamiltonian. (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 |