Mixing rates for potentials of non-summable variations
Keyword(s):
Abstract 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.
Keyword(s):
Keyword(s):
1985 ◽
Vol 2
(4)
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pp. 281-290
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pp. 172-187
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