Billiards inside a Cusp
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منابع مشابه
Decay of correlations and invariance principles for dispersing billiards with cusps, and related planar billiard flows
Following recent work of Chernov, Markarian, and Zhang, it is known that the billiard map for dispersing billiards with zero angle cusps has slow decay of correlations with rate 1/n. Since the collisions inside a cusp occur in quick succession, it is reasonable to expect a much faster decay rate in continuous time. In this paper we prove that the flow is rapid mixing: correlations decay faster ...
متن کامل0 M ay 2 00 8 Decay of correlations and invariance principles for dispersing billiards with cusps , and related planar billiard flows
Following recent work of Chernov, Markarian, and Zhang, it is known that the billiard map for dispersing billiards with zero angle cusps has slow decay of correlations with rate 1/n. Since the collisions inside a cusp occur in quick succession, it is reasonable to expect a much faster decay rate in continuous time. In this paper we prove that the flow is rapid mixing: correlations decay faster ...
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تاریخ انتشار 1995