Interrogating surface length spectra and quantifying isospectrality

Reference : Interrogating surface length spectra and quantifying isospectrality


	Document type :	E-prints/Working papers : Already available on another site
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/30052

Title :	Interrogating surface length spectra and quantifying isospectrality
Language :	English
Author, co-author :	Parlier, Hugo [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit]
Publication date :	1-Nov-2016
Peer reviewed :	Yes
Keywords :	[en] Mathematics - Differential Geometry ; Mathematics - Geometric Topology ; Mathematics - Spectral Theory
Abstract :	[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.
Permalink :	http://hdl.handle.net/10993/30052
Other URL :	http://esoads.eso.org/abs/2016arXiv161102040P
Commentary :	32 pages, 10 figures
source URL :	https://arxiv.org/abs/1611.02040

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	File	Commentary	Version	Size	Access
Open access	Isospectral2017-02-28.pdf		Author preprint	368.22 kB	View/Open

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