We prove exponential decay of correlations for a realistic model of piecewise hyperbolic flows preserving a contact form, in dimension three. This is the first time exponential decay of correlations is proved for continuous-time dynamics with singularities on a manifold. Our proof combines the second author's version (Liverani in Ann Math 159:1275-1312, 2004) of Dolgopyat's estimates for contact flows and the first author's work with GouA << zel (J Mod Dyn 4:91-137, 2010) on piecewise hyperbolic discrete-time dynamics.
Baladi, V., Liverani, C. (2012). Exponential Decay of Correlations for Piecewise Cone Hyperbolic Contact Flows. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 314(3), 689-773 [10.1007/s00220-012-1538-4].
Exponential Decay of Correlations for Piecewise Cone Hyperbolic Contact Flows
LIVERANI, CARLANGELO
2012-01-01
Abstract
We prove exponential decay of correlations for a realistic model of piecewise hyperbolic flows preserving a contact form, in dimension three. This is the first time exponential decay of correlations is proved for continuous-time dynamics with singularities on a manifold. Our proof combines the second author's version (Liverani in Ann Math 159:1275-1312, 2004) of Dolgopyat's estimates for contact flows and the first author's work with GouA << zel (J Mod Dyn 4:91-137, 2010) on piecewise hyperbolic discrete-time dynamics.| File | Dimensione | Formato | |
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