The Length Spectrum of a Riemann Surface is Always of Unbounded Multiplicity

Burton Randol

Type: Article

Publication Date: 1980-03-01

Citations: 11

DOI: https://doi.org/10.2307/2042345

Abstract

I show that the length spectrum of a Riemann surface is always of unbounded multiplicity, and indicate connections with recent work of Guillemin and Kazhdan.V.

Locations

Proceedings of the American Mathematical Society - View - PDF

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+ PDF Chat	Multiplicities of simple closed geodesics and hypersurfaces in Teichmüller space	2008	Greg McShane Hugo Parlier
+ PDF Chat	Geometry of Riemann surfaces based on closed geodesics	1998	Paul Schmutz Schaller
+ PDF Chat	Multiplicities of periodic orbit lengths for non-arithmetic models	2004	E. Bogomolny C. Schmit
+	Quantum and Arithmetical Chaos	2007	E. Bogomolny
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+	Translation equivalence in free groups	2006	Ilya Kapovich Gilbert Levitt Paul E. Schupp Vladimir Shpilrain
+ PDF Chat	Prising apart geodesics by length in hyperbolic manifolds	2015	James W. Anderson
+ PDF Chat	Correlations of multiplicities in length spectra for congruence subgroups	2012	Yasufumi Hashimoto
+ PDF Chat	Horowitz–Randol pairs of curves in<i>q</i>–differential metrics	2014	Anja Bankovic
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+	Characters of free groups represented in the two‐dimensional special linear group	1972	Robert D. Horowitz
+	On Dehn's algorithms for the conjugacy and word problems, with applications	1960	Martin Greendlinger