| Texto completo | |
| Autor(es): |
Gallesco, Christophe
;
Takahashi, Daniel Y.
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Ergodic Theory and Dynamical Systems; v. N/A, p. 18-pg., 2021-07-16. |
| Resumo | |
Mixing rates, relaxation rates, and decay of correlations for dynamics defined by potentials with summable variations are well understood, but little is known for non-summable variations. This paper exhibits upper bounds for these quantities for dynamics defined by potentials with square-summable variations. We obtain these bounds as corollaries of a new block coupling inequality between pairs of dynamics starting with different histories. As applications of our results, we prove a new weak invariance principle and a Hoeffding-type inequality. (AU) | |
| Processo FAPESP: | 13/07699-0 - Centro de Pesquisa, Inovação e Difusão em Neuromatemática - NeuroMat |
| Beneficiário: | Oswaldo Baffa Filho |
| Modalidade de apoio: | Auxílio à Pesquisa - Centros de Pesquisa, Inovação e Difusão - CEPIDs |
| Processo FAPESP: | 17/19876-4 - Estudo das propriedades assintóticas de cadeias de ordem infinita |
| Beneficiário: | Christophe Frédéric Gallesco |
| Modalidade de apoio: | Auxílio à Pesquisa - Regular |