| Texto completo | |
| Autor(es): |
Rosati, Tommaso C.
Número total de Autores: 1
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| Tipo de documento: | Artigo Científico |
| Fonte: | Stochastics and Dynamics; v. 22, n. 04, p. 46-pg., 2022-06-01. |
| Resumo | |
We study the long-time behavior of Kardar-Parisi-Zhang (KPZ)-like equations: partial derivative(t)h(t, x) = Delta(x) h(t, x) + vertical bar del(x)h(t, x)vertical bar(2) + eta(t, x), h(0, x) = h(0)(x), (t, x) is an element of (0, infinity) x T-d, on the d-dimensional torus T-d driven by an ergodic noise eta (e.g., space-time white in d = 1). The analysis builds on infinite-dimensional extensions of similar results for positive random matrices. We establish a one force, one solution principle and derive almost sure synchronization with exponential deterministic speed in appropriate Holder spaces. (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 |