Polynomial decay of correlations for flows, including Lorentz gas examples

Commun. Math. Phys. 368 (2019) 55-111.

Péter Bálint, Oliver Butterley and Ian Melbourne


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.


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Minor typos, etc

In Section 7.1, it is incorrectly claimed that condition (7.3) implies condition (3.2). The latter should be assumed in addition to the other conditions. However, condition (3.2) is always satisfied in settings where the Young tower approach applies so this extra assumption is harmless.