Improved Estimates for Correlations in Billiards

Improved Estimates for Correlations in Billiards
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改进台球相关性的估计

DOI：
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发表时间：
2007
期刊：
影响因子：
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通讯作者：
Hong
Hong
中科院分区：
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文献类型：
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作者：
N. Chernov;Hong

文献摘要

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我们考虑了几种混合速率缓慢（多项式）的混沌台球，其中包括布尼莫维奇体育场和带尖的分散台球。在Markarian和本作者最近的论文中，对相关性衰减的估计是次优的（它们包含冗余的对数因子）。我们通过去除这个因素来提高这些估计。
We consider several classes of chaotic billiards with slow (polynomial) mixing rates, which include Bunimovich’s stadium and dispersing billiards with cusps. In recent papers by Markarian and the present authors, estimates on the decay of correlations were obtained that were sub-optimal (they contained a redundant logarithmic factor). We sharpen those estimates by removing that factor.