-
1
-
-
1042287164
-
Invariant measures for hyperbolic dynamical systems
-
Hasselblatt B., and Katok A. (Eds), Elsevier, Amsterdam
-
Chernov N. Invariant measures for hyperbolic dynamical systems. In: Hasselblatt B., and Katok A. (Eds). Handbook of Dynamical Systems Vol. 1A (2002), Elsevier, Amsterdam 321-407
-
(2002)
Handbook of Dynamical Systems
, vol.1 A
, pp. 321-407
-
-
Chernov, N.1
-
2
-
-
2442681194
-
Topological methods in dynamics
-
Hasselblatt B., and Katok A. (Eds), Elsevier, Amsterdam
-
Franks J., and Misiurewicz M. Topological methods in dynamics. In: Hasselblatt B., and Katok A. (Eds). Handbook of Dynamical Systems Vol. 1A (2002), Elsevier, Amsterdam 547-598
-
(2002)
Handbook of Dynamical Systems
, vol.1 A
, pp. 547-598
-
-
Franks, J.1
Misiurewicz, M.2
-
3
-
-
33751347915
-
Hyperbolic dynamical systems
-
Hasselblatt B., and Katok A. (Eds), Elsevier, Amsterdam
-
Hasselblatt B. Hyperbolic dynamical systems. In: Hasselblatt B., and Katok A. (Eds). Handbook of Dynamical Systems Vol. 1A (2002), Elsevier, Amsterdam 239-319
-
(2002)
Handbook of Dynamical Systems
, vol.1 A
, pp. 239-319
-
-
Hasselblatt, B.1
-
4
-
-
0042080490
-
Hyperbolic dynamics and Riemannian geometry
-
Hasselblatt B., and Katok A. (Eds), Elsevier, Amsterdam
-
Knieper G. Hyperbolic dynamics and Riemannian geometry. In: Hasselblatt B., and Katok A. (Eds). Handbook of Dynamical Systems Vol. 1A (2002), Elsevier, Amsterdam 453-545
-
(2002)
Handbook of Dynamical Systems
, vol.1 A
, pp. 453-545
-
-
Knieper, G.1
-
5
-
-
0033636318
-
Precise counting results for closed orbits of Anosov flows
-
Anantharaman N. Precise counting results for closed orbits of Anosov flows. Ann. Sci. École Norm. Sup. 33 (2000) 33-56
-
(2000)
Ann. Sci. École Norm. Sup.
, vol.33
, pp. 33-56
-
-
Anantharaman, N.1
-
6
-
-
0002869924
-
On periodic points
-
Artin M., and Mazur B. On periodic points. Ann. of Math. 81 (1965) 82-99
-
(1965)
Ann. of Math.
, vol.81
, pp. 82-99
-
-
Artin, M.1
Mazur, B.2
-
8
-
-
0032377221
-
Periodic orbits and dynamical spectra
-
Baladi V. Periodic orbits and dynamical spectra. Ergodic Theory Dynamical Systems 18 (1998) 255-292
-
(1998)
Ergodic Theory Dynamical Systems
, vol.18
, pp. 255-292
-
-
Baladi, V.1
-
9
-
-
0001525001
-
Zeta functions and transfer operators for piecewise monotone transformations
-
459-177
-
459-177. Baladi V., and Keller G. Zeta functions and transfer operators for piecewise monotone transformations. Comm. Math. Phys. 127 (1990)
-
(1990)
Comm. Math. Phys.
, vol.127
-
-
Baladi, V.1
Keller, G.2
-
10
-
-
0030543668
-
Sharp determinants
-
Baladi V., and Ruelle D. Sharp determinants. Invent. Math. 123 (1996) 553-574
-
(1996)
Invent. Math.
, vol.123
, pp. 553-574
-
-
Baladi, V.1
Ruelle, D.2
-
11
-
-
0002729084
-
Periodic orbits for hyperbolic flows
-
Bowen R. Periodic orbits for hyperbolic flows. Amer. J. Math. 94 (1972) 1-30
-
(1972)
Amer. J. Math.
, vol.94
, pp. 1-30
-
-
Bowen, R.1
-
12
-
-
0000058449
-
Symbolic dynamics for hyperbolic flows
-
Bowen R. Symbolic dynamics for hyperbolic flows. Amer. J. Math. 95 (1973) 429-460
-
(1973)
Amer. J. Math.
, vol.95
, pp. 429-460
-
-
Bowen, R.1
-
13
-
-
0003208028
-
Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms
-
Springer, Berlin
-
Bowen R. Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms. Lecture Notes in Math. Vol. 470 (1975), Springer, Berlin
-
(1975)
Lecture Notes in Math.
, vol.470
-
-
Bowen, R.1
-
14
-
-
0002572491
-
On Axiom a Diffeomorphisms
-
Amer. Math. Soc., Providence, RI
-
Bowen R. On Axiom a Diffeomorphisms. Regional Conf. Series Vol. 35 (1978), Amer. Math. Soc., Providence, RI
-
(1978)
Regional Conf. Series
, vol.35
-
-
Bowen, R.1
-
15
-
-
0003058997
-
Zeta functions of restrictions of the shift transformation
-
Global Analysis. (Berkeley, CA, 1968)
-
Bowen R., and Lanford O. Zeta functions of restrictions of the shift transformation. Global Analysis. (Berkeley, CA, 1968). Proc. Sympos. Pure Math. 14 (1970) 43-49
-
(1970)
Proc. Sympos. Pure Math.
, vol.14
, pp. 43-49
-
-
Bowen, R.1
Lanford, O.2
-
18
-
-
33644538777
-
On the statistical properties of geodesic flows on negatively curved surfaces
-
Princeton University
-
Dolgopyat D. On the statistical properties of geodesic flows on negatively curved surfaces. Thesis (1997), Princeton University
-
(1997)
Thesis
-
-
Dolgopyat, D.1
-
19
-
-
0032389434
-
On decay of correlations in Anosov flows
-
Dolgopyat D. On decay of correlations in Anosov flows. Ann. of Math. 147 (1998) 357-390
-
(1998)
Ann. of Math.
, vol.147
, pp. 357-390
-
-
Dolgopyat, D.1
-
20
-
-
0032333778
-
Prevalence of fast mixing in hyperbolic flows
-
Dolgopyat D. Prevalence of fast mixing in hyperbolic flows. Ergodic Theory Dynamical Systems 5 (1998) 1097-1114
-
(1998)
Ergodic Theory Dynamical Systems
, vol.5
, pp. 1097-1114
-
-
Dolgopyat, D.1
-
21
-
-
22044444912
-
Addendum to: "Periodic orbits and dynamical spectra" by V. Baladi
-
Dolgopyat D., and Pollicott M. Addendum to: "Periodic orbits and dynamical spectra" by V. Baladi. Ergodic Theory Dynamical Systems 18 (1998) 293-301
-
(1998)
Ergodic Theory Dynamical Systems
, vol.18
, pp. 293-301
-
-
Dolgopyat, D.1
Pollicott, M.2
-
23
-
-
0001776020
-
Homology and Dynamical Systems
-
Amer. Math. Soc., Providence, RI
-
Franks J. Homology and Dynamical Systems. Regional Conf. Series Vol. 49 (1982), Amer. Math. Soc., Providence, RI
-
(1982)
Regional Conf. Series
, vol.49
-
-
Franks, J.1
-
24
-
-
0002358477
-
Flow equivalence of subshifts of finite type
-
Franks J. Flow equivalence of subshifts of finite type. Ergodic Theory Dynamical Systems 4 (1984) 53-66
-
(1984)
Ergodic Theory Dynamical Systems
, vol.4
, pp. 53-66
-
-
Franks, J.1
-
25
-
-
84968508599
-
Period doubling and the Lefschetz formula
-
Franks J. Period doubling and the Lefschetz formula. Trans. Amer. Math. Soc. 287 (1985) 275-283
-
(1985)
Trans. Amer. Math. Soc.
, vol.287
, pp. 275-283
-
-
Franks, J.1
-
26
-
-
0000954685
-
Generalizations of the Poincaré-Birkhoff theorem
-
Franks J. Generalizations of the Poincaré-Birkhoff theorem. Ann. of Math. 128 (1988) 139-151
-
(1988)
Ann. of Math.
, vol.128
, pp. 139-151
-
-
Franks, J.1
-
27
-
-
33751514484
-
2 and periodic points of annulus homeomorphisms
-
2 and periodic points of annulus homeomorphisms. Invent. Math. 108 (1992) 402-418
-
(1992)
Invent. Math.
, vol.108
, pp. 402-418
-
-
Franks, J.1
-
28
-
-
0001407441
-
The zeta functions of Ruelle and Selberg I
-
Fried D. The zeta functions of Ruelle and Selberg I. Ann. Sci. École Norm. Sup. 19 (1986) 491-517
-
(1986)
Ann. Sci. École Norm. Sup.
, vol.19
, pp. 491-517
-
-
Fried, D.1
-
29
-
-
0002703733
-
Lefschetz formulas for flows
-
The Lefschetz Centennial Conference. (Mexico City, 1984), Amer. Math. Soc., Providence, RI
-
Fried D. Lefschetz formulas for flows. The Lefschetz Centennial Conference. (Mexico City, 1984). Contemp. Math. Vol. 58 III (1987), Amer. Math. Soc., Providence, RI 19-69
-
(1987)
Contemp. Math.
, vol.58 III
, pp. 19-69
-
-
Fried, D.1
-
30
-
-
0038913623
-
Rationality for isolated expansive sets
-
Fried D. Rationality for isolated expansive sets. Adv. in Math. 65 (1987) 35-38
-
(1987)
Adv. in Math.
, vol.65
, pp. 35-38
-
-
Fried, D.1
-
31
-
-
84976040758
-
The flat-trace asymptotics of a uniform system of contractions
-
Fried D. The flat-trace asymptotics of a uniform system of contractions. Ergodic Theory Dynamical Systems 15 (1995) 1061-1071
-
(1995)
Ergodic Theory Dynamical Systems
, vol.15
, pp. 1061-1071
-
-
Fried, D.1
-
34
-
-
84971922644
-
Meromorphic extension of the zeta function for Axiom A flows
-
Haydn N. Meromorphic extension of the zeta function for Axiom A flows. Ergodic Theory Dynamical Systems 10 (1990) 347-360
-
(1990)
Ergodic Theory Dynamical Systems
, vol.10
, pp. 347-360
-
-
Haydn, N.1
-
35
-
-
51249185076
-
On intrinsic ergodicity of piecewise monotonic transformations with positive entropy
-
Hofbauer F. On intrinsic ergodicity of piecewise monotonic transformations with positive entropy. Israel J. Math. 34 (1979) 213-237
-
(1979)
Israel J. Math.
, vol.34
, pp. 213-237
-
-
Hofbauer, F.1
-
36
-
-
0002392544
-
Zeta functions and transfer operators for piecewise linear transformations
-
Hofbauer F., and Keller G. Zeta functions and transfer operators for piecewise linear transformations. J. Reine Angew. Math. 352 (1984) 100-113
-
(1984)
J. Reine Angew. Math.
, vol.352
, pp. 100-113
-
-
Hofbauer, F.1
Keller, G.2
-
37
-
-
33645932436
-
Zur analytischen Theorie hyperbolischen Raumformen und Bewegungsgruppen
-
Huber H. Zur analytischen Theorie hyperbolischen Raumformen und Bewegungsgruppen. Math. Ann. 138 (1959) 1-26
-
(1959)
Math. Ann.
, vol.138
, pp. 1-26
-
-
Huber, H.1
-
38
-
-
0001001304
-
Homology and closed geodesies in a compact Riemann surface
-
Katsuda A., and Sunada T. Homology and closed geodesies in a compact Riemann surface. Amer. J. Math. 110 (1988) 145-155
-
(1988)
Amer. J. Math.
, vol.110
, pp. 145-155
-
-
Katsuda, A.1
Sunada, T.2
-
39
-
-
51249171872
-
Closed orbits in homology classes
-
Katsuda A., and Sunada T. Closed orbits in homology classes. Publ. Math. 71 (1990) 5-32
-
(1990)
Publ. Math.
, vol.71
, pp. 5-32
-
-
Katsuda, A.1
Sunada, T.2
-
40
-
-
0002160620
-
Spectral theory, zeta functions and the distribution of periodic orbits for Collet-Eckmann maps
-
Keller G., and Nowicki T. Spectral theory, zeta functions and the distribution of periodic orbits for Collet-Eckmann maps. Comm. Math. Phys. 149 (1992) 31-69
-
(1992)
Comm. Math. Phys.
, vol.149
, pp. 31-69
-
-
Keller, G.1
Nowicki, T.2
-
41
-
-
0032623269
-
Fredholm determinants for hyperbolic diffeomorphisms of finite smoothness
-
Kitaev A. Fredholm determinants for hyperbolic diffeomorphisms of finite smoothness. Nonlinearity 12 (1999) 141-179
-
(1999)
Nonlinearity
, vol.12
, pp. 141-179
-
-
Kitaev, A.1
-
42
-
-
84972576554
-
Closed geodesic in homology classes on surfaces of variable negative curvature
-
Lalley S. Closed geodesic in homology classes on surfaces of variable negative curvature. Duke Math.J. 58 (1989) 795-821
-
(1989)
Duke Math.J.
, vol.58
, pp. 795-821
-
-
Lalley, S.1
-
43
-
-
0002075858
-
Über die Einteilung der positiven ganzen Zahlen in vier Klassen nach der Mindeszahl der zu ihrer additiven Zusammensetzung erforderlichen Quadrate
-
Landau E. Über die Einteilung der positiven ganzen Zahlen in vier Klassen nach der Mindeszahl der zu ihrer additiven Zusammensetzung erforderlichen Quadrate. Arch. Math. Phys. 13 (1908) 305-312
-
(1908)
Arch. Math. Phys.
, vol.13
, pp. 305-312
-
-
Landau, E.1
-
44
-
-
0000261098
-
Lefschetz numbers for periodic points
-
Nielsen Theory and Dynamical Systems, Amer. Math. Soc., Providence, RI
-
Llibre J. Lefschetz numbers for periodic points. Nielsen Theory and Dynamical Systems. Contemp. Math. Vol. 152 (1993), Amer. Math. Soc., Providence, RI 215-227
-
(1993)
Contemp. Math.
, vol.152
, pp. 215-227
-
-
Llibre, J.1
-
45
-
-
0001570657
-
Axiom A diffeomorphisms have rational zeta functions
-
Manning A. Axiom A diffeomorphisms have rational zeta functions. Bull. London Math. Soc. 3 (1971) 215-220
-
(1971)
Bull. London Math. Soc.
, vol.3
, pp. 215-220
-
-
Manning, A.1
-
46
-
-
0039476596
-
Certain applications of ergodic theory to the investigation of manifolds of negative curvature
-
Margulis G. Certain applications of ergodic theory to the investigation of manifolds of negative curvature. Functional Anal. Appl. 3 (1969) 89-90
-
(1969)
Functional Anal. Appl.
, vol.3
, pp. 89-90
-
-
Margulis, G.1
-
47
-
-
0000848698
-
On iterated maps of the interval, Dynamical Systems
-
Springer, Berlin
-
Milnor J., and Thurston W. On iterated maps of the interval, Dynamical Systems. Lecture Notes in Math. Vol. 1342 (1988), Springer, Berlin 465-563
-
(1988)
Lecture Notes in Math.
, vol.1342
, pp. 465-563
-
-
Milnor, J.1
Thurston, W.2
-
48
-
-
84958427130
-
Bowen's equidistribution theory and the Dirichlet density theorem
-
Parry W. Bowen's equidistribution theory and the Dirichlet density theorem. Ergodic Theory Dynamical Systems 4 (1984) 117-134
-
(1984)
Ergodic Theory Dynamical Systems
, vol.4
, pp. 117-134
-
-
Parry, W.1
-
49
-
-
0000496951
-
An analogue of the prime number theorem for closed orbits of Axiom A flows
-
Parry W., and Pollicott M. An analogue of the prime number theorem for closed orbits of Axiom A flows. Ann. of Math. 118 (1983) 573-591
-
(1983)
Ann. of Math.
, vol.118
, pp. 573-591
-
-
Parry, W.1
Pollicott, M.2
-
50
-
-
0000271607
-
Zeta functions and the periodic orbit structure of hyperbolic dynamics
-
Parry W., and Pollicott M. Zeta functions and the periodic orbit structure of hyperbolic dynamics. Asterisque 187-188 (1990) 1-268
-
(1990)
Asterisque
, vol.187-188
, pp. 1-268
-
-
Parry, W.1
Pollicott, M.2
-
51
-
-
0000345033
-
A topological invariant of flows on 1 -dimensional spaces
-
Parry W., and Sullivan D. A topological invariant of flows on 1 -dimensional spaces. Topology 14 (1975) 297-299
-
(1975)
Topology
, vol.14
, pp. 297-299
-
-
Parry, W.1
Sullivan, D.2
-
52
-
-
17044374336
-
On the rate of mixing of Axiom A flows
-
Pollicott M. On the rate of mixing of Axiom A flows. Invent. Math. 81 (1985) 413-426
-
(1985)
Invent. Math.
, vol.81
, pp. 413-426
-
-
Pollicott, M.1
-
53
-
-
33646978879
-
Meromorphic extensions of generalized zeta functions
-
Pollicott M. Meromorphic extensions of generalized zeta functions. Invent. Math. 85 (1986) 147-164
-
(1986)
Invent. Math.
, vol.85
, pp. 147-164
-
-
Pollicott, M.1
-
54
-
-
0000953395
-
Homology and closed geodesics in a compact negatively curved surface
-
Pollicott M. Homology and closed geodesics in a compact negatively curved surface. Amer. J. Math. 113 (1991) 379-385
-
(1991)
Amer. J. Math.
, vol.113
, pp. 379-385
-
-
Pollicott, M.1
-
55
-
-
0037673876
-
Orbit counting for some discrete groups acting on simply connected manifolds with negative curvature
-
Pollicott M., and Sharp R. Orbit counting for some discrete groups acting on simply connected manifolds with negative curvature. Invent. Math. 117 (1994) 275-302
-
(1994)
Invent. Math.
, vol.117
, pp. 275-302
-
-
Pollicott, M.1
Sharp, R.2
-
56
-
-
0000217012
-
Exponential error terms for growth functions on negatively curved surfaces
-
Pollicott M., and Sharp R. Exponential error terms for growth functions on negatively curved surfaces. Amer. J. Math. 120 (1998) 1019-1042
-
(1998)
Amer. J. Math.
, vol.120
, pp. 1019-1042
-
-
Pollicott, M.1
Sharp, R.2
-
57
-
-
67649349233
-
Asymptotic expansions for closed orbits in homology classes
-
to appear
-
M. Pollicott and R. Sharp, Asymptotic expansions for closed orbits in homology classes. Math. Ded., to appear.
-
Math. Ded
-
-
Pollicott, M.1
Sharp, R.2
-
58
-
-
51249187719
-
Markov partitions for Anosov flows on n-dimensional manifolds
-
Ratner M. Markov partitions for Anosov flows on n-dimensional manifolds. Israel J. Math. 15 (1973) 92-114
-
(1973)
Israel J. Math.
, vol.15
, pp. 92-114
-
-
Ratner, M.1
-
59
-
-
84968469588
-
Generalized zeta-functions for Axiom A basic sets
-
Ruelle D. Generalized zeta-functions for Axiom A basic sets. Bull. Amer. Math. Soc. 82 (1976) 153-156
-
(1976)
Bull. Amer. Math. Soc.
, vol.82
, pp. 153-156
-
-
Ruelle, D.1
-
60
-
-
0001085798
-
Zeta-functions for expanding maps and Anosov flows
-
Ruelle D. Zeta-functions for expanding maps and Anosov flows. Invent. Math. 34 (1976) 231-242
-
(1976)
Invent. Math.
, vol.34
, pp. 231-242
-
-
Ruelle, D.1
-
63
-
-
51649157555
-
An extension of the theory of Fredholm determinants
-
Ruelle D. An extension of the theory of Fredholm determinants. Publ. Math. (IHES) 72 (1990) 175-193
-
(1990)
Publ. Math. (IHES)
, vol.72
, pp. 175-193
-
-
Ruelle, D.1
-
64
-
-
67649368027
-
Dynamical zeta functions: where do they come from and what are they good for?
-
(Leipzig, 1991), Springer, Berlin
-
(Leipzig, 1991). Ruelle D. Dynamical zeta functions: where do they come from and what are they good for?. Mathematical Physics Vol. X (1992), Springer, Berlin 43-51
-
(1992)
Mathematical Physics
, vol.X
, pp. 43-51
-
-
Ruelle, D.1
-
65
-
-
0346149385
-
Analytic completion for dynamical zeta functions
-
Ruelle D. Analytic completion for dynamical zeta functions. Helv. Phys. Acta 66 (1993) 181-191
-
(1993)
Helv. Phys. Acta
, vol.66
, pp. 181-191
-
-
Ruelle, D.1
-
66
-
-
0001147424
-
The correlation spectrum for hyperbolic analytic maps
-
Rugh H. The correlation spectrum for hyperbolic analytic maps. Nonlinearity 5 (1992) 1237-1263
-
(1992)
Nonlinearity
, vol.5
, pp. 1237-1263
-
-
Rugh, H.1
-
67
-
-
0002072428
-
Co-existence of cycles of a continuous mapping of the line into itself
-
Sharkovski A.N. Co-existence of cycles of a continuous mapping of the line into itself. Ukrain. Mat. 16 (1964)
-
(1964)
Ukrain. Mat.
, vol.16
-
-
Sharkovski, A.N.1
-
68
-
-
0002350116
-
Harmonic analysis and discontinuous groups in weakly symmetric Riemannian spaces with applications to Dirichlet series
-
Selberg A. Harmonic analysis and discontinuous groups in weakly symmetric Riemannian spaces with applications to Dirichlet series. J. Indian Math. Soc. 20 (1956) 47-87
-
(1956)
J. Indian Math. Soc.
, vol.20
, pp. 47-87
-
-
Selberg, A.1
-
70
-
-
84956071330
-
Gibbs measures in ergodic theory
-
Sinai Y. Gibbs measures in ergodic theory. Russian Math. Surveys 27 (1972) 21-69
-
(1972)
Russian Math. Surveys
, vol.27
, pp. 21-69
-
-
Sinai, Y.1
-
71
-
-
84968514104
-
Differentiable dynamical systems
-
Smale S. Differentiable dynamical systems. Bull. Amer. Math. Soc. 73 (1967) 747-817
-
(1967)
Bull. Amer. Math. Soc.
, vol.73
, pp. 747-817
-
-
Smale, S.1
-
74
-
-
0032348050
-
Statistical properties of dynamical systems with some hyperbolicity
-
Young L.-S. Statistical properties of dynamical systems with some hyperbolicity. Ann. of Math. 147 (1998) 585-650
-
(1998)
Ann. of Math.
, vol.147
, pp. 585-650
-
-
Young, L.-S.1
|