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Bowen, Rufus

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Author ID: bowen.rufus Recent zbMATH articles by "Bowen, Rufus"
Published as: Bowen, R.; Bowen, Rufus
External Links: MGP · Wikidata · GND · MacTutor
Documents Indexed: 48 Publications since 1964, including 3 Books
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH Open

44 Publications have been cited 3,587 times in 2,587 Documents Cited by Year
Equilibrium states and the ergodic theory of Anosov diffeomorphisms. Zbl 0308.28010
Bowen, Rufus
834
1975
Entropy for group endomorphisms and homogeneous spaces. Zbl 0212.29201
Bowen, R.
321
1971
The ergodic theory of axiom A flows. Zbl 0311.58010
Bowen, Rufus; Ruelle, David
272
1975
Hausdorff dimension of quasi-circles. Zbl 0439.30032
Bowen, Rufus
162
1979
Symbolic dynamics for hyperbolic flows. Zbl 0282.58009
Bowen, Rufus
157
1973
Periodic points and measures for axiom A diffeomorphisms. Zbl 0212.29103
Bowen, R.
154
1971
Markov partitions for axiom A diffeomorphisms. Zbl 0208.25901
Bowen, R.
145
1970
Topological entropy for noncompact sets. Zbl 0274.54030
Bowen, Rufus
131
1974
Periodic orbits for hyperbolic flows. Zbl 0254.58005
Bowen, Rufus
126
1972
The periodic points of maps of the disk and the interval. Zbl 0346.58010
Bowen, Rufus; Franks, John
113
1976
Equilibrium states and the ergodic theory of Anosov diffeomorphisms. 2nd revised ed. Zbl 1172.37001
Bowen, Rufus
111
2008
Expansive one-parameter flows. Zbl 0242.54041
Bowen, Rufus; Walters, Peter
110
1972
\(\omega\)-limit sets for axiom A diffeomorphisms. Zbl 0315.58019
Bowen, Rufus
98
1975
Some systems with unique equilibrium states. Zbl 0299.54031
Bowen, Rufus
95
1975
On Axiom A diffeomorphisms. Zbl 0383.58010
Bowen, Rufus
79
1978
Markov maps associated with Fuchsian groups. Zbl 0439.30033
Bowen, Rufus; Series, Caroline
72
1979
Entropy-expansive maps. Zbl 0229.28011
Bowen, Rufus
61
1972
Invariant measures for Markov maps of the interval. Zbl 0421.28016
Bowen, Rufus
58
1979
Homology for zero-dimensional nonwandering sets. Zbl 0375.58018
Bowen, Rufus; Franks, John
52
1977
Unique ergodicity for horocycle foliations. Zbl 0346.58009
Bowen, Rufus; Marcus, Brian
51
1977
Topological entropy and axiom \(A\). Zbl 0207.54402
Bowen, R.
48
1970
Zeta functions of restrictions of the shift transformation. Zbl 0211.56501
Bowen, R.; Lanford, O. E. III
38
1970
The equidistribution of closed geodesics. Zbl 0249.53033
Bowen, Rufus
32
1972
A horseshoe with positive measure. Zbl 0306.58013
Bowen, Rufus
30
1975
Markov partitions are not smooth. Zbl 0417.58011
Bowen, Rufus
23
1978
Markov partitions and minimal sets for axiom A diffeomorphisms. Zbl 0212.29104
Bowen, R.
22
1970
Bernoulli maps of the interval. Zbl 0377.28010
Bowen, Rufus
21
1977
One-dimensional hyperbolic sets for flows. Zbl 0242.58005
Bowen, Rufus
21
1972
BERNOULLI EQUILIBRIUM STATES FOR AXIOM A diffeomorphisms. Zbl 0304.28012
Bowen, Rufus
19
1975
Anosov foliations are hyperfinite. Zbl 0374.58008
Bowen, Rufus
16
1977
Entropy and the fundamental group. Zbl 0389.58010
Bowen, Rufus
15
1978
Generation of triangulations of the sphere. Zbl 0163.18201
Bowen, R.; Fisk, S.
14
1967
Weak mixing and unique ergodicity on homogeneous spaces. Zbl 0338.43014
Bowen, Rufus
13
1976
Erratum to “Entropy for group endomorphisms and homogeneous spaces”. Zbl 0275.22013
Bowen, R.
13
1973
Maximizing entropy for a hyperbolic flow. Zbl 0303.58014
Bowen, Rufus
12
1974
A new proof of a theorem in utility theory. Zbl 0164.50307
Bowen, R.
12
1968
Mixing Anosov flows. Zbl 0321.58018
Bowen, Rufus
8
1976
Ergodic theory of Axiom A flows. Zbl 0327.58010
Bowen, R.
8
1975
Smooth partitions of Anosov diffeomorphisms are weak Bernoulli. Zbl 0315.58020
Bowen, Rufus
8
1975
Entropy versus homology for certain diffeomorphisms. Zbl 0282.58010
Bowen, Rufus
3
1974
Symbolic dynamics for hyperbolic systems. Zbl 0257.54042
Bowen, Rufus
3
1973
Entropy for maps of the interval. Zbl 0401.54036
Bowen, Rufus
2
1977
A model for Couette flow data. Zbl 0363.58002
Bowen, Rufus
2
1977
Symbolic dynamics for hyperbolic flows. Zbl 0336.58009
Bowen, Rufus
2
1975
Equilibrium states and the ergodic theory of Anosov diffeomorphisms. 2nd revised ed. Zbl 1172.37001
Bowen, Rufus
111
2008
Hausdorff dimension of quasi-circles. Zbl 0439.30032
Bowen, Rufus
162
1979
Markov maps associated with Fuchsian groups. Zbl 0439.30033
Bowen, Rufus; Series, Caroline
72
1979
Invariant measures for Markov maps of the interval. Zbl 0421.28016
Bowen, Rufus
58
1979
On Axiom A diffeomorphisms. Zbl 0383.58010
Bowen, Rufus
79
1978
Markov partitions are not smooth. Zbl 0417.58011
Bowen, Rufus
23
1978
Entropy and the fundamental group. Zbl 0389.58010
Bowen, Rufus
15
1978
Homology for zero-dimensional nonwandering sets. Zbl 0375.58018
Bowen, Rufus; Franks, John
52
1977
Unique ergodicity for horocycle foliations. Zbl 0346.58009
Bowen, Rufus; Marcus, Brian
51
1977
Bernoulli maps of the interval. Zbl 0377.28010
Bowen, Rufus
21
1977
Anosov foliations are hyperfinite. Zbl 0374.58008
Bowen, Rufus
16
1977
Entropy for maps of the interval. Zbl 0401.54036
Bowen, Rufus
2
1977
A model for Couette flow data. Zbl 0363.58002
Bowen, Rufus
2
1977
The periodic points of maps of the disk and the interval. Zbl 0346.58010
Bowen, Rufus; Franks, John
113
1976
Weak mixing and unique ergodicity on homogeneous spaces. Zbl 0338.43014
Bowen, Rufus
13
1976
Mixing Anosov flows. Zbl 0321.58018
Bowen, Rufus
8
1976
Equilibrium states and the ergodic theory of Anosov diffeomorphisms. Zbl 0308.28010
Bowen, Rufus
834
1975
The ergodic theory of axiom A flows. Zbl 0311.58010
Bowen, Rufus; Ruelle, David
272
1975
\(\omega\)-limit sets for axiom A diffeomorphisms. Zbl 0315.58019
Bowen, Rufus
98
1975
Some systems with unique equilibrium states. Zbl 0299.54031
Bowen, Rufus
95
1975
A horseshoe with positive measure. Zbl 0306.58013
Bowen, Rufus
30
1975
BERNOULLI EQUILIBRIUM STATES FOR AXIOM A diffeomorphisms. Zbl 0304.28012
Bowen, Rufus
19
1975
Ergodic theory of Axiom A flows. Zbl 0327.58010
Bowen, R.
8
1975
Smooth partitions of Anosov diffeomorphisms are weak Bernoulli. Zbl 0315.58020
Bowen, Rufus
8
1975
Symbolic dynamics for hyperbolic flows. Zbl 0336.58009
Bowen, Rufus
2
1975
Topological entropy for noncompact sets. Zbl 0274.54030
Bowen, Rufus
131
1974
Maximizing entropy for a hyperbolic flow. Zbl 0303.58014
Bowen, Rufus
12
1974
Entropy versus homology for certain diffeomorphisms. Zbl 0282.58010
Bowen, Rufus
3
1974
Symbolic dynamics for hyperbolic flows. Zbl 0282.58009
Bowen, Rufus
157
1973
Erratum to “Entropy for group endomorphisms and homogeneous spaces”. Zbl 0275.22013
Bowen, R.
13
1973
Symbolic dynamics for hyperbolic systems. Zbl 0257.54042
Bowen, Rufus
3
1973
Periodic orbits for hyperbolic flows. Zbl 0254.58005
Bowen, Rufus
126
1972
Expansive one-parameter flows. Zbl 0242.54041
Bowen, Rufus; Walters, Peter
110
1972
Entropy-expansive maps. Zbl 0229.28011
Bowen, Rufus
61
1972
The equidistribution of closed geodesics. Zbl 0249.53033
Bowen, Rufus
32
1972
One-dimensional hyperbolic sets for flows. Zbl 0242.58005
Bowen, Rufus
21
1972
Entropy for group endomorphisms and homogeneous spaces. Zbl 0212.29201
Bowen, R.
321
1971
Periodic points and measures for axiom A diffeomorphisms. Zbl 0212.29103
Bowen, R.
154
1971
Markov partitions for axiom A diffeomorphisms. Zbl 0208.25901
Bowen, R.
145
1970
Topological entropy and axiom \(A\). Zbl 0207.54402
Bowen, R.
48
1970
Zeta functions of restrictions of the shift transformation. Zbl 0211.56501
Bowen, R.; Lanford, O. E. III
38
1970
Markov partitions and minimal sets for axiom A diffeomorphisms. Zbl 0212.29104
Bowen, R.
22
1970
A new proof of a theorem in utility theory. Zbl 0164.50307
Bowen, R.
12
1968
Generation of triangulations of the sphere. Zbl 0163.18201
Bowen, R.; Fisk, S.
14
1967
all top 5

Cited by 2,192 Authors

44 Pollicott, Mark
31 Varandas, Paulo
27 Urbański, Mariusz
22 Kifer, Yuri
20 Ledrappier, François
19 Ruelle, David Pierre
18 Alves, José Ferreira
18 Bowen, Rufus
18 Oprocha, Piotr
17 Chen, Ercai
17 Sharp, Richard W.
17 Young, Lai-Sang
17 Zhao, Yun
16 Cao, Yongluo
16 Climenhaga, Vaughn
16 Melbourne, Ian
16 Mihailescu, Eugen Gh.
16 Morales, Carlos Arnoldo
16 Tian, Xueting
16 Yorke, James Alan
15 Araújo, Vítor
15 Artigue, Alfonso
15 Gelfert, Katrin Grit
14 Barreira, Luis Manuel
14 Buzzi, Jérôme
14 Matsumoto, Kengo
14 Pesin, Yakov Borisovich
14 Sun, Wenxiang
13 Giordano Bruno, Anna
13 Wolf, Christian
12 Boyle, Mike
12 Denker, Manfred
12 Gallavotti, Giovanni M.
12 Stoyanov, Luchezar N.
11 Cánovas, Jose S.
11 Collet, Pierre
11 Feng, De-Jun
11 Iommi, Godofredo
11 Ma, Dongkui
11 Sarig, Omri M.
10 Block, Louis Stuart
10 Chernov, Nikolai Ivanovich
10 Dikranjan, Dikran N.
10 Fried, David
10 Hu, Huyi
10 Huang, Wen
10 Lee, Keonhee
10 Lee, Manseob
10 Leplaideur, Renaud
10 Lind, Douglas A.
10 Rams, Michał
10 Ratner, Marina
10 Thompson, Daniel J.
10 Tresser, Charles Philippe
10 Viana, Marcelo
10 Walters, Peter
9 Bonatti, Christian
9 Boyarsky, Abraham
9 de Carvalho, Maria Pires
9 Haydn, Nicolai T. A.
9 Jiang, Yunping
9 Knieper, Gerhard
9 Lalley, Steven P.
9 Lopes, Artur Oscar
9 Marcus, Brian H.
9 Mcgoff, Kevin
9 Naud, Frédéric
9 Pacifico, Maria José
9 Tikhomirov, Sergey B.
9 Weiss, Howard
9 Ye, Yuanling
9 Zhou, Yunhua
9 Zhu, Yujun
8 Cheng, Wenchiao
8 Dolgopyat, Dmitry
8 Grines, Vyacheslav Zigmundovich
8 Katok, Anatole B.
8 Keller, Gerhard
8 Li, Zhiming
8 Liao, Gang
8 Meyerovitch, Tom
8 Nusse, Helena Engelina
8 Parry, William
8 Pavlov, Ronnie
8 Rivera-Letelier, Juan
8 Sambarino, Andrés
8 Schmidt, Klaus
8 Sigmund, Karl
8 Takahasi, Hiroki
8 Zhuzhoma, Evgeniĭ Viktorovich
7 Das, Ruchi
7 Das, Tarun Kumar
7 Fan, Ai Hua
7 García Guirao, Juan Luis
7 Guillarmou, Colin
7 Huang, Yu
7 Iesan, Dorin
7 Jaerisch, Johannes
7 Jenkinson, Oliver
7 Kawan, Christoph
...and 2,092 more Authors
all top 5

Cited in 335 Serials

265 Ergodic Theory and Dynamical Systems
127 Transactions of the American Mathematical Society
117 Journal of Statistical Physics
102 Communications in Mathematical Physics
100 Israel Journal of Mathematics
84 Proceedings of the American Mathematical Society
83 Discrete and Continuous Dynamical Systems
68 Inventiones Mathematicae
63 Journal of Mathematical Analysis and Applications
62 Journal of Differential Equations
58 Topology and its Applications
47 Physica D
46 Advances in Mathematics
44 Chaos, Solitons and Fractals
35 Monatshefte für Mathematik
32 Dynamical Systems
29 Mathematische Zeitschrift
27 Nonlinearity
25 International Journal of Engineering Science
25 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
23 Annales de l’Institut Fourier
22 Bulletin of the American Mathematical Society. New Series
21 Publications Mathématiques
20 Chaos
19 Stochastics and Dynamics
18 Journal of Dynamics and Differential Equations
18 Journal of Modern Dynamics
17 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
17 Bulletin of the Brazilian Mathematical Society. New Series
15 Duke Mathematical Journal
15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
15 Acta Mathematica Sinica. English Series
14 Qualitative Theory of Dynamical Systems
13 Journal d’Analyse Mathématique
13 Mathematical Proceedings of the Cambridge Philosophical Society
13 Journal of Functional Analysis
13 Probability Theory and Related Fields
13 Geometric and Functional Analysis. GAFA
13 Journal of Mathematical Sciences (New York)
12 Acta Mathematica
12 Functional Analysis and its Applications
12 Journal of Dynamical and Control Systems
11 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
11 Boletim da Sociedade Brasileira de Matemática. Nova Série
11 Bulletin of the American Mathematical Society
10 Journal of Mathematical Physics
10 Mathematische Annalen
10 Nagoya Mathematical Journal
10 Journal of the American Mathematical Society
10 Science China. Mathematics
9 Linear Algebra and its Applications
9 Annales de l’Institut Henri Poincaré. Physique Théorique
9 Comptes Rendus. Mathématique. Académie des Sciences, Paris
8 Journal of Mathematical Biology
8 Journal of the European Mathematical Society (JEMS)
7 Bulletin of the Australian Mathematical Society
7 Mathematical Notes
7 The Annals of Probability
7 Automatica
7 Geometriae Dedicata
7 Mathematical Systems Theory
7 Memoirs of the American Mathematical Society
7 Journal of Difference Equations and Applications
7 Electronic Research Announcements of the American Mathematical Society
7 Geometry & Topology
7 Differential Equations
7 Discrete and Continuous Dynamical Systems. Series B
6 Acta Mechanica
6 Discrete Mathematics
6 Journal of Computational and Applied Mathematics
6 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
6 Journal of Elasticity
6 Journal of Mathematical Chemistry
6 European Journal of Mechanics. A. Solids
6 Annals of Mathematics. Second Series
6 Annales Henri Poincaré
6 Nonlinear Analysis. Theory, Methods & Applications
5 Archive for Rational Mechanics and Analysis
5 Computers & Mathematics with Applications
5 Journal of Geometry and Physics
5 Fuzzy Sets and Systems
5 Journal of Economic Theory
5 Mathematische Nachrichten
5 Advances in Applied Mathematics
5 Acta Applicandae Mathematicae
5 Mathematical and Computer Modelling
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Stochastic Processes and their Applications
5 Indagationes Mathematicae. New Series
5 Topological Methods in Nonlinear Analysis
5 Applied Mathematics. Series B (English Edition)
5 Differentsial’nye Uravneniya i Protsessy Upravleniya
5 Proceedings of the Steklov Institute of Mathematics
5 Journal of Fractal Geometry
4 International Journal of Solids and Structures
4 Arkiv för Matematik
4 The Annals of Statistics
4 Boletim da Sociedade Brasileira de Matemática
4 Fundamenta Mathematicae
4 Journal of the Korean Mathematical Society
...and 235 more Serials
all top 5

Cited in 57 Fields

2,052 Dynamical systems and ergodic theory (37-XX)
438 Measure and integration (28-XX)
321 General topology (54-XX)
206 Probability theory and stochastic processes (60-XX)
145 Differential geometry (53-XX)
120 Statistical mechanics, structure of matter (82-XX)
94 Functions of a complex variable (30-XX)
87 Manifolds and cell complexes (57-XX)
86 Number theory (11-XX)
85 Global analysis, analysis on manifolds (58-XX)
70 Topological groups, Lie groups (22-XX)
68 Ordinary differential equations (34-XX)
54 Group theory and generalizations (20-XX)
53 Functional analysis (46-XX)
50 Mechanics of deformable solids (74-XX)
49 Fluid mechanics (76-XX)
43 Operator theory (47-XX)
39 Biology and other natural sciences (92-XX)
37 Partial differential equations (35-XX)
36 Information and communication theory, circuits (94-XX)
35 Several complex variables and analytic spaces (32-XX)
33 Systems theory; control (93-XX)
32 Combinatorics (05-XX)
32 Numerical analysis (65-XX)
29 Real functions (26-XX)
27 Quantum theory (81-XX)
24 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
22 Mechanics of particles and systems (70-XX)
20 Computer science (68-XX)
18 Statistics (62-XX)
17 Linear and multilinear algebra; matrix theory (15-XX)
15 Difference and functional equations (39-XX)
14 Convex and discrete geometry (52-XX)
13 Abstract harmonic analysis (43-XX)
13 Classical thermodynamics, heat transfer (80-XX)
12 Algebraic geometry (14-XX)
10 Mathematical logic and foundations (03-XX)
9 Calculus of variations and optimal control; optimization (49-XX)
9 Algebraic topology (55-XX)
8 History and biography (01-XX)
8 Harmonic analysis on Euclidean spaces (42-XX)
7 Order, lattices, ordered algebraic structures (06-XX)
7 Potential theory (31-XX)
7 Approximations and expansions (41-XX)
7 Operations research, mathematical programming (90-XX)
6 \(K\)-theory (19-XX)
5 Associative rings and algebras (16-XX)
4 Geometry (51-XX)
3 General and overarching topics; collections (00-XX)
3 Category theory; homological algebra (18-XX)
3 Geophysics (86-XX)
2 Commutative algebra (13-XX)
1 General algebraic systems (08-XX)
1 Nonassociative rings and algebras (17-XX)
1 Special functions (33-XX)
1 Integral transforms, operational calculus (44-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year

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