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Article Dans Une Revue Communications in Mathematical Physics Année : 2012

Exponential decay of correlations for piecewise cone hyperbolic contact flows

Résumé

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 of Dolgopyat's estimates for contact flows and the first author's work with Gouëzel on piecewise hyperbolic discrete-time dynamics

Dates et versions

hal-00590625 , version 1 (04-05-2011)

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Viviane Baladi, Carlangelo Liverani. Exponential decay of correlations for piecewise cone hyperbolic contact flows. Communications in Mathematical Physics, 2012, 314, pp.689-773. ⟨10.1007/s00220-012-1538-4⟩. ⟨hal-00590625⟩
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