Counting geodesics of given commutator length

DOI10.1017/fms.2023.114arXiv2304.10274OpenAlexW4389786961MaRDI QIDQ6182802

Viveka Erlandsson, Juan Souto

Publication date: 21 December 2023

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2304.10274

zbMATH Keywords

closed hyperbolic surfacegeometric prime number theorem

Mathematics Subject Classification ID

Orbit growth in dynamical systems (37C35) Periodic and quasi-periodic flows and diffeomorphisms (37C55) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Homogeneous flows (37A17) Relations between ergodic theory and number theory (37A44)

Cites Work

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• Homology and Closed Geodesics in a Compact Riemann Surface
• Ergodicité et équidistribution en courbure négative
• Geometry and spectra of compact Riemann surfaces

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