Polynomial decay of correlations for flows, including Lorentz gas examples

Abstract

We prove sharp results on polynomial decay of correlations for nonuniformly hyperbolic flows. Applications include intermittent solenoidal flows and various Lorentz gas models including the infinite horizon Lorentz gas.

Numerous corrections and clarifications. Statements for main results and examples unchanged. (Sections 1, 2 and 3 are unchanged.)

References in corpus (2)

• Superpolynomial and polynomial mixing for semiflows and flows
• Statistical properties for flows with unbounded roof function, including the Lorenz attractor

Cited by in corpus (7)

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• Statistical properties for flows with unbounded roof function, including the Lorenz attractor
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• Exponential mixing for singular skew-products
• On Sinai billiards on flat surfaces with non-flat horns