Equidistribution of geodesics on homology classes and analogues for free groups

DOI10.1515/FORUM.2008.038zbMath1166.53015arXivmath/0509513MaRDI QIDQ3534802

Morten S. Risager, Yiannis N. Petridis

Publication date: 5 November 2008

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0509513

zbMATH Keywords

geodesicsfree groupshomology class

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Ordered groups (group-theoretic aspects) (20F60) Global differential geometry (53Cxx)

Related Items (6)

Random equations in free groups ⋮ On the asymptotics of visible elements and homogeneous equations in surface groups. ⋮ Concentration of closed geodesics in the homology of modular curves ⋮ Pairs of periodic orbits with fixed homology difference ⋮ Growth in free groups (and other stories) -- twelve years later ⋮ On Selberg's small eigenvalue conjecture and residual eigenvalues

Cites Work

• Zur analytischen Theorie hyperbolischer Raumformen und Bewegungsgruppen
• Closed geodesics in homology classes on surfaces of variable negative curvature
• Un théorème de la limite locale pour une classe de transformations dilatantes et monotones par morceaux
• Geodesics in homology classes
• The Chebotarov theorem for Galois coverings of Axiom A flows
• Discrete logarithms in free groups
• Fonctions D'Igusa p-adiques et Polynomes de Berstein
• Lalley's theorem on periodic orbits of hyperbolic flows
• The distribution of values of the Poincaré pairing for hyperbolic Riemann surfaces
• A local limit theorem for closed geodesics and homology
• Class numbers of indefinite binary quadratic forms
• A note on asymptotic expansions for closed geodesics in homology classes
• Local limit theorems for free groups

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