Systoles on Compact Riemann Surfaces with Symbolic Dynamics

DOI10.1007/978-3-319-12328-8_17zbMath1321.37027OpenAlexW2170489212MaRDI QIDQ2949238

Clara Grácio

Publication date: 8 October 2015

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10174/17219

Mathematics Subject Classification ID

Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Cites Work

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• Riemann surfaces with shortest geodesic of maximal length
• On the period matrix of a Riemann surface of large genus (with an appendix by J. H. Conway and N. J. A. Sloane)
• A remarkable formula for the determinant of the Laplacian
• Geodesic length spectrum on compact Riemann surfaces
• Hyperelliptic surfaces are Loewner
• New parameters for Fuchsian groups of genus $2$
• Boundary Maps and Fenchel–Nielsen–Maskit Coordinates
• À l'ombre de Loewner
• Systole et invariant d'Hermite.
• Entropy of systolically extremal surfaces and asymptotic bounds

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