Reference : Interrogating surface length spectra and quantifying isospectrality
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Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/30052
Interrogating surface length spectra and quantifying isospectrality
English
Parlier, Hugo mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit]
1-Nov-2016
Yes
[en] Mathematics - Differential Geometry ; Mathematics - Geometric Topology ; Mathematics - Spectral Theory
[en] This article is about inverse spectral problems for hyperbolic surfaces and in particular how length spectra relate to the geometry of the underlying surface. A quantitative answer is given to the following: how many questions do you need to ask a length spectrum to determine it completely? In answering this, a quantitative upper bound is given on the number of isospectral but non-isometric surfaces of a given genus.
http://hdl.handle.net/10993/30052
http://esoads.eso.org/abs/2016arXiv161102040P
32 pages, 10 figures
https://arxiv.org/abs/1611.02040

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