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Correlations for pairs of closed geodesics
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UNSPECIFIED (2006) Correlations for pairs of closed geodesics. INVENTIONES MATHEMATICAE, 163 (1). pp. 1-24. doi:10.1007/s00222-004-0427-7 ISSN 0020-9910.
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Official URL: http://dx.doi.org/10.1007/s00222-004-0427-7
Abstract
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: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | INVENTIONES MATHEMATICAE | ||||
Publisher: | SPRINGER | ||||
ISSN: | 0020-9910 | ||||
Official Date: | January 2006 | ||||
Dates: |
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Volume: | 163 | ||||
Number: | 1 | ||||
Number of Pages: | 24 | ||||
Page Range: | pp. 1-24 | ||||
DOI: | 10.1007/s00222-004-0427-7 | ||||
Publication Status: | Published |
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