Correlations for pairs of closed geodesics

Pollicott, Mark and Sharp, Richard (2006) Correlations for pairs of closed geodesics. Inventiones Mathematicae, 163 (1). pp. 1-24. ISSN 1432-1297

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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.

Item Type: Article
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 58 Global analysis, analysis on manifolds
Depositing User: Ms Lucy van Russelt
Date Deposited: 15 Aug 2006
Last Modified: 20 Oct 2017 14:12

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