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arxiv: 1412.1299 · v1 · pith:QKSY4HIUnew · submitted 2014-12-03 · 🧮 math.DS

Decay of correlations for invertible systems with non-H\"older observables

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keywords correlationsinvertiblemapsobservablesappliedcertainconsideredcontinuity
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An invertible dynamical system with some hyperbolic structure is considered. Upper estimates for the correlations of continuous observables is given in terms of modulus of continuity. The result is applied to certain H\'enon maps and Solenoid maps with intermittency.

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