@article{ASENS_2000_4_33_1_33_0,
author = {Anantharaman, Nalini},
title = {Precise counting results for closed orbits of Anosov flows},
journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
volume = {33},
year = {2000},
pages = {33-56},
doi = {10.1016/s0012-9593(00)00102-6},
mrnumber = {2002c:37048},
zbl = {0992.37026},
language = {en},
url = {http://dml.mathdoc.fr/item/ASENS_2000_4_33_1_33_0}
}
Anantharaman, Nalini. Precise counting results for closed orbits of Anosov flows. Annales scientifiques de l'École Normale Supérieure, Tome 33 (2000) pp. 33-56. doi : 10.1016/s0012-9593(00)00102-6. http://gdmltest.u-ga.fr/item/ASENS_2000_4_33_1_33_0/
[1] and , Homology of closed geodesics in a negatively curved manifold, J. Differential Geom. 26 (1987) 81-99. | MR 88g:58149 | Zbl 0618.58028
[2] , Geodesic flows on closed Riemann manifolds with negative curvature, Proc. Stekl. Inst. of Math. 90 (1969). | MR 39 #3527 | Zbl 0176.19101
[3] , Minimal geodesics, Ergodic Theory Dynamical Systems 10 (1989) 263-286. | MR 91j:58126 | Zbl 0676.53055
[4] and , Lalley's theorem on periodic orbits of hyperbolic flows, Ergodic Theory Dynamical Systems 18 (1998) 17-39. | MR 99a:58128 | Zbl 0915.58074
[5] , Symbolic dynamics for hyperbolic flows, Amer. J. Math. 95 (1973) 429-460. | MR 49 #4041 | Zbl 0282.58009
[6] , Markov approximations and decay of correlations for Anosov flows, Ann. of Math. (to appear). | Zbl 0911.58028
[7] , Asymptotic Expansions, Cambridge University Press, 1965. | MR 29 #6234 | Zbl 0123.26001
[8] , On decay of correlations in Anosov flows, Ann. of Math. (to appear). | Zbl 0911.58029
[9] , Regularity of the Anosov splitting and of horospheric foliations, Ergodic Theory Dynamical Systems 14 (1994) 645-666. | MR 95j:58130 | Zbl 0821.58032
[10] , Zur analytischen Theorie hyperbolischer Raumformen und Bewegungsgruppen (I), Math. Ann. 138 (1959) 1-26 ; (II), Math. Ann. 142 (1961) 385-398 ; (III), Math. Ann. 143 (1961) 463-464. | MR 27 #4923 | Zbl 0101.05702
[11] , The Analysis of Partial Differential Operators, A series of comprehensive studies in mathematics, Vol. 256, Springer, Berlin, 1983. | MR 85g:35002a | Zbl 0521.35001
[12] and , Homology and closed geodesics in a compact Riemann surface, Amer. J. Math. 110 (1988) 145-156. | MR 89e:58093 | Zbl 0647.53036
[13] and , Closed orbits in homology classes, Publ. Math. IHES 71 (1990) 5-32. | Numdam | MR 92m:58102 | Zbl 0728.58026
[14] , Large deviations, averaging and periodic orbits of dynamical systems, Comm. Math. Phys. 162 (1994) 33-46. | MR 95b:58091 | Zbl 0797.58068
[15] , Distribution of periodic orbits of symbolic and Axiom A flows, Adv. Appl. Math. 8 (1987) 154-193. | MR 89e:58088 | Zbl 0637.58013
[16] , Closed geodesics in homology classes on surfaces of variable negative curvature, Duke Math. J. 58 (1989) 795-821. | MR 91a:58143 | Zbl 0732.53035
[17] , Unique ergodicity of some flows related to Axiom A diffeomorphisms, Israel J. Math. 21 (1975) 111-132. | MR 54 #1302 | Zbl 0314.58012
[18] , Applications of ergodic theory for the investigation of manifolds of negative curvature, Funct. Anal. Appl. 3 (1969) 335-336. | MR 41 #2582 | Zbl 0207.20305
[19] and , Zeta functions and the periodic orbit structure of hyperbolics dynamics, Astrisque 187-188 (1990). | MR 92f:58141 | Zbl 0726.58003
[20] and , Geodesics in homology classes, Duke Math. J. 55 (1987), 287-297. | MR 88g:58151 | Zbl 0642.53050
[21] , Homology and closed geodesics in a compact negatively curved surface, Amer. J. Math. 113 (1991) 379-385. | MR 92e:58158 | Zbl 0728.53031
[22] and , Error terms for growth functions on negatively curved surfaces, Amer. J. Math. (to appear).
[23] and , Asymptotic expansions for closed orbits in homology classes, Preprint.
[24] , Markov partitions for Anosov flows on n-dimensional manifolds, Israel J. Math. 15 (1973) 92-114. | MR 49 #4042 | Zbl 0269.58010
[25] , Convex Analysis, Princeton University Press, 1970. | MR 43 #445 | Zbl 0193.18401
[26] , An extension of the theory of Fredholm determinants, Publ. Math. IHES 72 (1990) 175-193. | Numdam | MR 92b:58187 | Zbl 0732.47003
[27] , Asymptotic cycles, Ann. of Math. 66 (1957) 270-284. | MR 19,568i | Zbl 0207.22603
[28] , Prime orbits theorems with multi-dimensional constraints for Axiom A flows, Mh. Math. 114 (1992) 261-304. | MR 94i:58163 | Zbl 0765.58025
[29] , Closed orbits in homology classes for Anosov flows, Ergodic Theory Dynamical Systems 13 (1993) 387-408. | MR 94g:58169 | Zbl 0783.58059