Periodic orbits on the regular hyperbolic octagon

DOI10.1016/0167-2789(91)90053-CzbMath0718.58033WikidataQ56673738 ScholiaQ56673738MaRDI QIDQ2639393

R. Aurich, Frank Steiner, E. B. Bogomolnij

Publication date: 1991

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

algorithmclosed geodesicslength spectrumperiod orbitsregular octagoncompact Riemannian surface of genus 2multiplicity of geodesics

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Ergodic theory (37A99)

Related Items (8)

Zeta functions and periodic orbit theory: A review ⋮ Kloosterman sums and their applications: A review ⋮ Hyperbolic octagons and Teichmüller space in genus 2 ⋮ Selberg super-trace formula for super Riemann surfaces. II: Elliptic and parabolic conjugacy classes, and Selberg super-zeta functions ⋮ On fundamental domains of arithmetic Fuchsian groups ⋮ Crossing the entropy barrier of dynamical zeta functions ⋮ Semiclassical limits for the hyperbolic plane ⋮ Correlations for pairs of closed geodesics

Cites Work

• Periodic-orbit sum rules for the Hadamard-Gutzwiller model
• Energy-level statistics of the Hadamard-Gutzwiller ensemble
• On the periodic orbits of a strongly chaotic system

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