scholarly journals Decay of correlations for unbounded observables

Nonlinearity ◽  
2021 ◽  
Vol 34 (4) ◽  
pp. 2402-2429
Author(s):  
Fang Wang ◽  
Hong-Kun Zhang ◽  
Pengfei Zhang
Keyword(s):  
Decay Of Correlations

scholarly journals Mixing rates for potentials of non-summable variations

2021 ◽  
pp. 1-18
Author(s):  
CHRISTOPHE GALLESCO ◽  
DANIEL Y. TAKAHASHI
Keyword(s):  
Invariance Principle ◽  
Type Inequality ◽  
Upper Bounds ◽  
Decay Of Correlations ◽  
Relaxation Rates ◽  
Weak Invariance Principle ◽  
Weak Invariance ◽  
Coupling Inequality ◽  
Mixing Rates

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.

scholarly journals Decay of Correlations for Non-Hölderian Dynamics. A Coupling Approach

1999 ◽  
Vol 4 (0) ◽  
Author(s):  
Xavier Bressaud ◽  
Roberto Fernandez ◽  
Antonio Galves
Keyword(s):  
Decay Of Correlations ◽  
Coupling Approach
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