Exponential correlation decay for planar Sinai billiards with corner points

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Consider planar Sinai billiard flows whose boundary may have corner points, with the angle between the intersecting boundary pieces at each corner nonzero. Corner-point correlation-decay conjecture. The main result on exponential decay of correlations for planar Sinai billiard flows remains valid for these billiards with corner points. The claim is motivated as a necessary step for controlling correlations in the cited heat-conduction model; the supplied context gives no resolution.

References

Primary source

Péter Bálint, Thomas Gilbert, Domokos Szász and Imre Péter Tóth, “What mathematical billiards teach us about statistical physics?”, arXiv:2009.06284 (2020).

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