1. Twisted orbits and zeta functions 3 2. Axiom A diffeomorphisms 4 3. Symbolic dynamics and rationality 5 4. Zeta functions and for interval maps 9
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243
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Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms
– Bowen
- 1975
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115
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Thermodynamic Formalism
– Ruelle
- 1978
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115
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Differentiable Dynamical Systems
– Smale
- 1967
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84
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Zeta Functions and the Periodic Orbit Structure of Hyperbolic Dynamics. Ast'erique 187-188, Soci'et'e Math'ematique de
– Parry, Pollicott
- 1990
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69
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Global stability of Dynamical systems
– Shub
- 1987
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51
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Gibbs measures in ergodic theory
– Sinai
- 1972
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44
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Statistical properties of dynamical systems with some hyperbolicity
– Young
- 1998
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38
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Twelve lectures on subjects suggested by his life and work
– Ramanujan
- 1940
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37
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Harmonic analysis and discontinuous groups in weakly symmetric Riemannian spaces with applications to Dirichlet series
– Selberg
- 1956
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32
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Symbolic dynamics for hyperbolic flows
– Bowen
- 1973
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31
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An extension of the theory of Fredholm determinants
– Ruelle
- 1990
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28
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Dierentiable dynamical systems
– Smale
- 1967
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25
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Spectral theory, zeta functions and the distribution of periodic points for Collet-Eckmann maps
– Keller, Nowicki
- 1992
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23
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Zeta functions and transfer operators for piecewise monotone transformations
– Baladi, Keller
- 1990
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18
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The Lefschetz fixed point theorem
– Brown
- 1971
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16
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Zeta functions of restrictions of the shift transformation
– Bowen, Lanford
- 1970
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16
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The zeta functions of Ruelle and Selberg
– Fried
- 1986
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16
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On decay of correlations in Anosov flows
– Dolgopyat
- 1998
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15
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On intrinsic ergodicity of piecewise monotonic transformations with positive entropy
– Hofbauer
- 1979
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14
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On periodic points
– Artin, Mazur
- 1965
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14
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The correlation spectrum for hyperbolic analytic maps, Nonlinearity 5
– Rugh
- 1992
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14
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On Axiom A diffeomorphisms
– Bowen
- 1978
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14
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Markov partitions for Anosov flows on n-dimensional manifolds
– Ratner
- 1973
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13
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Zur analytischen Theorie hyperbolischen Raumformen und Bewegungsgruppen. Mathematische Annalen 138
– Huber
- 1959
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12
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Exponential error terms for growth functions on negatively curved surfaces
– Pollicott, Sharp
- 1998
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11
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Certain applications of ergodic theory to the investigation of manifolds of negative curvature, Fun
– Margulis
- 1969
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11
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Repellers for real analytic maps
– Ruelle
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10
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Homology and Dynamical Systems
– Franks
- 1982
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9
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Axiom a diffeomorphisms have rational zeta functions
– Manning
- 1971
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9
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Zeta-functions for expanding maps and Anosov flows
– Ruelle
- 1976
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8
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Lalley's theorem on periodic orbits of hyperbolic flows
– Babillot, Ledrappier
- 1998
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8
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The flat-trace asymptotics of a uniform system of contractions
– Fried
- 1995
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8
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Homology and closed geodesics in a compact Riemann
– Katsuda, Sunada
- 1988
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8
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Closed geodesics in homology classes on surfaces of variable negative curvature
– Lalley
- 1989
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8
|
Flow equivalence of subshifts of finite type
– Franks
- 1984
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8
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Fredholm determinants for hyperbolic diffeomorphisms of finite smoothness
– Kitaev
- 1995
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7
|
Symbolic dynamics for hyperbolic
– Bowen
- 1973
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7
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On decay of correlations in Anosov
– Dolgopyat
- 1998
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|
7
|
Geodesics on S and periodic points of annulus homeomorphisms
– Franks
- 1992
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7
|
Closed orbits in homology classes
– Katsuda, Sunada
- 1990
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7
|
Periodic orbits for hyperbolic flows
– Bowen
- 1972
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6
|
Precise counting results for closed orbits of Anosov flows
– Anantharaman
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6
|
Uber die Einteilung der positiven ganzen Zahlen in vier Klassen nach der Mindeszahl der zu ihrer additiven Zusammensetzung erforderlichen Quadrate
– Landau
- 1908
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6
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An analogue of the prime number theorem for closed orbits of Axiom A flows
– Parry, Pollicott
- 1983
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6
|
Asymptotic expansions for closed orbits in homology classes
– Pollicott, Sharp
- 1998
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6
|
Generalizations of the Poincar'e-Birkhoff theorem
– Franks
- 1988
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5
|
On Axiom A dieomorphisms
– Bowen
- 1978
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5
|
Flow equivalence of subshifts of type
– Franks
- 1984
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|
5
|
Homology and closed geodesics in a compact negatively curved surface
– Pollicott
- 1991
|
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5
|
Markov partitions for Anosov on n-dimensional manifolds
– Ratner
- 1973
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