Analysis of Correlation Bounds for Uniformly Expanding Maps on [0, 1].

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    • Abstract:
      In this paper, we provide the decay of correlations for random dynamical systems. Precisely, we consider the uniformly C 2 piecewise expanding maps defined on the unit interval satisfying λ (T ω ′) = inf | T ω ′ | > 2 . As a principal tool of these studies, we use a coupling method for analyzing the coupling time of observables with bounded variation. [ABSTRACT FROM AUTHOR]
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