Homology and Closed Geodesics in a Compact Riemann Surface
From MaRDI portal
Publication:3791823
DOI10.2307/2374542zbMath0647.53036OpenAlexW2067959486WikidataQ56267023 ScholiaQ56267023MaRDI QIDQ3791823
Atsushi Katsuda, Toshikazu Sunada
Publication date: 1988
Published in: American Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2374542
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Geodesics in global differential geometry (53C22) Representation-theoretic methods; automorphic representations over local and global fields (11F70)
Related Items
Orbit counting for some discrete groups acting on simply connected manifolds with negative curvature, A local limit theorem for closed geodesics and homology, Flexibility of statistical properties for smooth systems satisfying the central limit theorem, Dynamical 𝐿-functions and homology of closed orbits, Large degree covers and sharp resonances of hyperbolic surfaces, Closed geodesics with prescribed intersection numbers, Weighted prime geodesic theorems, Counting geodesics of given commutator length, Spectral deformations of automorphic functions over graphs of groups, Anosov flows, growth rates on covers and group extensions of subshifts, Equidistribution of holonomy about closed geodesics, Homology, Wiener integrals, and integrated densities of states, The spectrum of Fermat curves, Chebotarev-type theorems in homology classes, Closed geodesics and periods of automorphic forms, Pairs of periodic orbits with fixed homology difference, Growth in free groups (and other stories) -- twelve years later, THE PRIME GEODESIC THEOREM AND QUANTUM MECHANICS ON FINITE VOLUME GRAPHS: A REVIEW, Precise counting results for closed orbits of Anosov flows, Positive harmonic functions on abelian covers, Bloch theory and quantization of magnetic systems, Smooth mixing Anosov flows in dimension three are exponentially mixing, Closed orbits in homology classes, Closed orbits in homology classes for Anosov flows, Closed geodesics in homology classes on surfaces of variable negative curvature