Mixing rates for potentials of non-summable variations
نویسندگان
چکیده
Abstract Mixing rates, relaxation and decay of correlations for dynamics defined by potentials with summable variations are well understood, but little is known non-summable variations. This paper exhibits upper bounds these quantities square-summable We obtain as corollaries a new block coupling inequality between pairs starting different histories. As applications our results, we prove weak invariance principle Hoeffding-type inequality.
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ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 2021
ISSN: ['0143-3857', '1469-4417']
DOI: https://doi.org/10.1017/etds.2021.65