Mixing rates for potentials of non-summable variations

Autor(es)

Gallesco, Christophe ; Takahashi, Daniel Y.

• 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