Reference : Interrogating surface length spectra and quantifying isospectrality
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/45387
Interrogating surface length spectra and quantifying isospectrality
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Parlier, Hugo mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit]
2018
MATHEMATISCHE ANNALEN
Springer Heidelberg
370
3-4
1759-1787
Yes (verified by ORBilu)
0025-5831
Heidelberg
[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.
Swiss National Science Foundation [PP00P2_153024]
http://hdl.handle.net/10993/45387
10.1007/s00208-017-1571-x
Research supported by Swiss National Science Foundation Grant Number PP00P2_153024.

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