Reference : Interrogating surface length spectra and quantifying isospectrality
E-prints/Working papers : Already available on another site
Physical, chemical, mathematical & earth Sciences : Mathematics
Interrogating surface length spectra and quantifying isospectrality
Parlier, Hugo mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit]
[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.
32 pages, 10 figures

File(s) associated to this reference

Fulltext file(s):

Open access
Isospectral2017-02-28.pdfAuthor preprint368.22 kBView/Open

Bookmark and Share SFX Query

All documents in ORBilu are protected by a user license.