On the Homology Length Spectrum of Surfaces
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- Massart, Daniel Institut Montpelliérain Alexandre Grothendieck, Université de Montpellier, Place Eugène Bataillon, 34095 Montpellier cedex
- Parlier, Hugo Département de Mathématiques, Université de Fribourg, Fribourg, Switzerland
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2017
Published in:
- International Mathematics Research Notices. - Oxford University Press. - 2017, vol. 2017, no. 8, p. 2367-2401
English
On a surface with a Finsler metric, we investigate the asymptotic growth of the number of closed geodesics of length less than $L$ which minimize length among all geodesic multicurves in the same homology class. An important class of surfaces which are of interest to us are hyperbolic surfaces.
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- English
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© The Author(s) 2016. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: journals.permission@oup.com. - Identifiers
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- RERO DOC 331491
- SWISSBIB (NATIONALLICENCE)oxford-10.1093/imrn/rnw086
- DOI 10.1093/imrn/rnw086
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- https://folia.unifr.ch/global/documents/309216
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