Journal
MATHEMATISCHE ANNALEN
Volume 370, Issue 3-4, Pages 1759-1787Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s00208-017-1571-x
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Funding
- Swiss National Science Foundation [PP00P2_153024]
- Swiss National Science Foundation (SNF) [PP00P2_153024] Funding Source: Swiss National Science Foundation (SNF)
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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.
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