@article{PMIHES_1990__71__5_0, author = {Katsuda, Atsushi and Sunada, Toshikazu}, title = {Closed orbits in homology classes}, journal = {Publications Math\'ematiques de l'IH\'ES}, pages = {5--32}, publisher = {Institut des Hautes \'Etudes Scientifiques}, volume = {71}, year = {1990}, mrnumber = {1079641}, zbl = {0728.58026}, language = {en}, url = {http://archive.numdam.org/item/PMIHES_1990__71__5_0/} }
TY - JOUR AU - Katsuda, Atsushi AU - Sunada, Toshikazu TI - Closed orbits in homology classes JO - Publications Mathématiques de l'IHÉS PY - 1990 SP - 5 EP - 32 VL - 71 PB - Institut des Hautes Études Scientifiques UR - http://archive.numdam.org/item/PMIHES_1990__71__5_0/ LA - en ID - PMIHES_1990__71__5_0 ER -
Katsuda, Atsushi; Sunada, Toshikazu. Closed orbits in homology classes. Publications Mathématiques de l'IHÉS, Volume 71 (1990), pp. 5-32. http://archive.numdam.org/item/PMIHES_1990__71__5_0/
[1] Meromorphic extension of L-functions of Anosov flows and profinite graphs, Kumamoto J. Math., 1 (1988), 9-24. | MR | Zbl
,[2] Homology of closed geodesics in a negatively curved manifold, J. Diff. Geom., 26 (1987), 81-99. | MR | Zbl
and ,[3] Twisted Perron-Frobenius theorem and L-functions, J. Funct. Anal., 71 (1987), 1-46. | MR | Zbl
and ,[4] Symbolic dynamics for hyperbolic flows, Amer. J. Math., 95 (1973), 429-459. | MR | Zbl
,[5] Approximation by Brownian motion for Gibbs measures and flows under a function, Ergod. Th. & Dynam. Syst., 4 (1984), 541-552. | MR | Zbl
and ,[6] Asymptotics for closed geodesics in a homology class-finite volume case-, Duke Math. J., 55 (1987), 717-757. | MR | Zbl
,[7] A theorem of Poincaré, Dokl. Akad. Nauk., 127 (1959), 490-493 (Russian). | MR | Zbl
and ,[8] Some inverse spectral results for negatively curved 2-manifolds, Topology, 11 (1980), 301-312. | MR | Zbl
and ,[9] Measure Theory, New York, Van Nostrand Co. Inc., 1950. | MR | Zbl
,[10] Density theorem for closed orbits, Proc. of Taniguchi Symp., Springer Lect. Notes in Math., vol. 1339, 1988, to appear. | MR | Zbl
,[11] Homology and closed geodesics in a compact Riemann surface, Amer. J. Math., 110 (1988), 145-156. | MR | Zbl
and ,[12] Algebraic Number Theory, London, Addison-Wisley, 1970. | MR | Zbl
,[13] Some homological properties of U-systems, Math. Zametki, 10 (1971), 555-564.
,[14] The central limit theorem for current-valued processes induced by geodesic flows, Osaka J. Math., 26 (1989), 191-205. | MR | Zbl
and ,[15] Bowen's equidistribution theory and the Dirichlet density theorem, Ergod. Th. & Dynam. Syst., 4 (1984), 117-134. | MR | Zbl
,[16] An analogue of the prime number theorem for closed orbits of Axiom A flows, Ann. of Math., 118 (1983), 573-591. | MR | Zbl
and ,[17] The Chebotarev theorem for Galois coverings of Axiom A flows, Ergod. Th. & Dynam. Syst., 6 (1986), 133-148. | MR | Zbl
and ,[18] Geodesics in homology classes, Duke Math. J., 55 (1987), 287-297. | MR | Zbl
and ,[19] Anosov flows, Amer. J. Math., 94 (1972), 729-758. | MR | Zbl
,[20] Homology of closed orbits of Axiom A flows, Proc. A. M. S., 37 (1973), 297-300. | MR | Zbl
,[21] On the rate of mixing of Axiom A flows, Invent. Math., 81 (1985), 413-426. | MR | Zbl
,[22] Thermodynamic Formalism, London, Addison-Wisley, 1978. | MR
,[23] Harmonic analysis and discontinuous subgroups in weakly symmetric Riemannian spaces with applications to Dirichlet series, J. Indian Math. Soc., 20 (1956), 47-87. | MR | Zbl
,[24] Divisibilité de certaines fonctions arithmétiques, L'Ens. Math., 22 (1976), 227-260. | MR | Zbl
,[25] Geodesics in homology classes and periods of automorphic forms, preprint, Johns Hopkins Univ., 1986.
,[26] Généralisation du théorème de Ikehara, Ann. Scient. Ec. Norm. Sup., Sér. 3, 71 (1954), 213-242. | Numdam | MR | Zbl
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