Correlations for pairs of closed geodesics

Correlations for pairs of closed geodesics
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闭合测地线对的相关性

DOI：
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
Richard Sharp
Richard Sharp
中科院分区：
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文献类型：
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作者：
M. Pollicott;Richard Sharp

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本文考虑负曲面上闭测地线的自然计数问题。我们提出了闭测地线对的渐近估计，其长度的差异在于一个规定的家庭的收缩区间。相关的对关联问题在量子混沌和数论中都有研究。
In this article we consider natural counting problems for closed geodesics on negatively curved surfaces. We present asymptotic estimates for pairs of closed geodesics, the differences of whose lengths lie in a prescribed family of shrinking intervals. Related pair correlation problems have been studied in both Quantum Chaos and number theory.