We consider a class of C 4 partially hyperbolic systems on T 2 described by maps Fε(x, θ) = (f(x, θ), θ + εω(x, θ)) where f(·, θ) are expanding maps of the circle. For sufficiently small ε and ω generic in an open set, we precisely classify the SRB measures for Fε and their statistical properties, including exponential decay of correlation for H¨older observables with explicit and nearly optimal bounds on the decay rate.

De Simoi, J., Liverani, C. (2016). Statistical properties of mostly contracting fast-slow partially hyperbolic systems. INVENTIONES MATHEMATICAE, 206(1), 147-227 [10.1007/s00222-016-0651-y].

Statistical properties of mostly contracting fast-slow partially hyperbolic systems

LIVERANI, CARLANGELO
2016

Abstract

We consider a class of C 4 partially hyperbolic systems on T 2 described by maps Fε(x, θ) = (f(x, θ), θ + εω(x, θ)) where f(·, θ) are expanding maps of the circle. For sufficiently small ε and ω generic in an open set, we precisely classify the SRB measures for Fε and their statistical properties, including exponential decay of correlation for H¨older observables with explicit and nearly optimal bounds on the decay rate.
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Rilevanza internazionale
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Esperti anonimi
Settore MAT/07 - Fisica Matematica
English
De Simoi, J., Liverani, C. (2016). Statistical properties of mostly contracting fast-slow partially hyperbolic systems. INVENTIONES MATHEMATICAE, 206(1), 147-227 [10.1007/s00222-016-0651-y].
De Simoi, J; Liverani, C
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/173859
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