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Author ID: bowen.rufus Recent zbMATH articles by "Bowen, Rufus"
Published as: Bowen, Rufus; Bowen, R.
External Links: MacTutor · MGP · Wikidata · GND · IdRef
Documents Indexed: 48 Publications since 1964, including 3 Books
Biographic References: 1 Publication
Co-Authors: 7 Co-Authors with 8 Joint Publications
173 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

44 Publications have been cited 3,856 times in 2,763 Documents Cited by Year
Equilibrium states and the ergodic theory of Anosov diffeomorphisms. Zbl 0308.28010
Bowen, Rufus
858
1975
Entropy for group endomorphisms and homogeneous spaces. Zbl 0212.29201
Bowen, R.
372
1971
The ergodic theory of axiom A flows. Zbl 0311.58010
Bowen, Rufus; Ruelle, David
298
1975
Hausdorff dimension of quasi-circles. Zbl 0439.30032
Bowen, Rufus
181
1979
Periodic points and measures for axiom A diffeomorphisms. Zbl 0212.29103
Bowen, R.
174
1971
Symbolic dynamics for hyperbolic flows. Zbl 0282.58009
Bowen, Rufus
166
1973
Markov partitions for axiom A diffeomorphisms. Zbl 0208.25901
Bowen, R.
164
1970
Topological entropy for noncompact sets. Zbl 0274.54030
Bowen, Rufus
151
1974
Equilibrium states and the ergodic theory of Anosov diffeomorphisms. 2nd revised ed. Zbl 1172.37001
Bowen, Rufus
139
2008
Periodic orbits for hyperbolic flows. Zbl 0254.58005
Bowen, Rufus
130
1972
Expansive one-parameter flows. Zbl 0242.54041
Bowen, Rufus; Walters, Peter
125
1972
\(\omega\)-limit sets for axiom A diffeomorphisms. Zbl 0315.58019
Bowen, Rufus
116
1975
Some systems with unique equilibrium states. Zbl 0299.54031
Bowen, Rufus
113
1975
Markov maps associated with Fuchsian groups. Zbl 0439.30033
Bowen, Rufus; Series, Caroline
85
1979
On Axiom A diffeomorphisms. Zbl 0383.58010
Bowen, Rufus
79
1978
The periodic points of maps of the disk and the interval. Zbl 0346.58010
Bowen, Rufus; Franks, John
74
1976
Entropy-expansive maps. Zbl 0229.28011
Bowen, Rufus
73
1972
Invariant measures for Markov maps of the interval. Zbl 0421.28016
Bowen, Rufus
59
1979
Homology for zero-dimensional nonwandering sets. Zbl 0375.58018
Bowen, Rufus; Franks, John
55
1977
Unique ergodicity for horocycle foliations. Zbl 0346.58009
Bowen, Rufus; Marcus, Brian
52
1977
Topological entropy and axiom \(A\). Zbl 0207.54402
Bowen, R.
44
1970
Zeta functions of restrictions of the shift transformation. Zbl 0211.56501
Bowen, R.; Lanford, O. E. III
37
1970
The equidistribution of closed geodesics. Zbl 0249.53033
Bowen, Rufus
37
1972
A horseshoe with positive measure. Zbl 0306.58013
Bowen, Rufus
31
1975
Markov partitions are not smooth. Zbl 0417.58011
Bowen, Rufus
26
1978
Markov partitions and minimal sets for axiom A diffeomorphisms. Zbl 0212.29104
Bowen, R.
24
1970
Bernoulli maps of the interval. Zbl 0377.28010
Bowen, Rufus
22
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
18
1975
Anosov foliations are hyperfinite. Zbl 0374.58008
Bowen, Rufus
17
1977
Generation of triangulations of the sphere. Zbl 0163.18201
Bowen, R.; Fisk, S.
16
1967
Erratum to “Entropy for group endomorphisms and homogeneous spaces”. Zbl 0275.22013
Bowen, R.
14
1973
Maximizing entropy for a hyperbolic flow. Zbl 0303.58014
Bowen, Rufus
14
1974
Weak mixing and unique ergodicity on homogeneous spaces. Zbl 0338.43014
Bowen, Rufus
12
1976
A new proof of a theorem in utility theory. Zbl 0164.50307
Bowen, R.
12
1968
Entropy and the fundamental group. Zbl 0389.58010
Bowen, Rufus
11
1978
Ergodic theory of Axiom A flows. Zbl 0327.58010
Bowen, R.
9
1975
Smooth partitions of Anosov diffeomorphisms are weak Bernoulli. Zbl 0315.58020
Bowen, Rufus
8
1975
Mixing Anosov flows. Zbl 0321.58018
Bowen, Rufus
8
1976
Entropy versus homology for certain diffeomorphisms. Zbl 0282.58010
Bowen, Rufus
3
1974
Symbolic dynamics for hyperbolic systems. Zbl 0257.54042
Bowen, Rufus
2
1973
A model for Couette flow data. Zbl 0363.58002
Bowen, Rufus
2
1977
Entropy for maps of the interval. Zbl 0401.54036
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
139
2008
Hausdorff dimension of quasi-circles. Zbl 0439.30032
Bowen, Rufus
181
1979
Markov maps associated with Fuchsian groups. Zbl 0439.30033
Bowen, Rufus; Series, Caroline
85
1979
Invariant measures for Markov maps of the interval. Zbl 0421.28016
Bowen, Rufus
59
1979
On Axiom A diffeomorphisms. Zbl 0383.58010
Bowen, Rufus
79
1978
Markov partitions are not smooth. Zbl 0417.58011
Bowen, Rufus
26
1978
Entropy and the fundamental group. Zbl 0389.58010
Bowen, Rufus
11
1978
Homology for zero-dimensional nonwandering sets. Zbl 0375.58018
Bowen, Rufus; Franks, John
55
1977
Unique ergodicity for horocycle foliations. Zbl 0346.58009
Bowen, Rufus; Marcus, Brian
52
1977
Bernoulli maps of the interval. Zbl 0377.28010
Bowen, Rufus
22
1977
Anosov foliations are hyperfinite. Zbl 0374.58008
Bowen, Rufus
17
1977
A model for Couette flow data. Zbl 0363.58002
Bowen, Rufus
2
1977
Entropy for maps of the interval. Zbl 0401.54036
Bowen, Rufus
2
1977
The periodic points of maps of the disk and the interval. Zbl 0346.58010
Bowen, Rufus; Franks, John
74
1976
Weak mixing and unique ergodicity on homogeneous spaces. Zbl 0338.43014
Bowen, Rufus
12
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
858
1975
The ergodic theory of axiom A flows. Zbl 0311.58010
Bowen, Rufus; Ruelle, David
298
1975
\(\omega\)-limit sets for axiom A diffeomorphisms. Zbl 0315.58019
Bowen, Rufus
116
1975
Some systems with unique equilibrium states. Zbl 0299.54031
Bowen, Rufus
113
1975
A horseshoe with positive measure. Zbl 0306.58013
Bowen, Rufus
31
1975
BERNOULLI EQUILIBRIUM STATES FOR AXIOM A diffeomorphisms. Zbl 0304.28012
Bowen, Rufus
18
1975
Ergodic theory of Axiom A flows. Zbl 0327.58010
Bowen, R.
9
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
151
1974
Maximizing entropy for a hyperbolic flow. Zbl 0303.58014
Bowen, Rufus
14
1974
Entropy versus homology for certain diffeomorphisms. Zbl 0282.58010
Bowen, Rufus
3
1974
Symbolic dynamics for hyperbolic flows. Zbl 0282.58009
Bowen, Rufus
166
1973
Erratum to “Entropy for group endomorphisms and homogeneous spaces”. Zbl 0275.22013
Bowen, R.
14
1973
Symbolic dynamics for hyperbolic systems. Zbl 0257.54042
Bowen, Rufus
2
1973
Periodic orbits for hyperbolic flows. Zbl 0254.58005
Bowen, Rufus
130
1972
Expansive one-parameter flows. Zbl 0242.54041
Bowen, Rufus; Walters, Peter
125
1972
Entropy-expansive maps. Zbl 0229.28011
Bowen, Rufus
73
1972
The equidistribution of closed geodesics. Zbl 0249.53033
Bowen, Rufus
37
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.
372
1971
Periodic points and measures for axiom A diffeomorphisms. Zbl 0212.29103
Bowen, R.
174
1971
Markov partitions for axiom A diffeomorphisms. Zbl 0208.25901
Bowen, R.
164
1970
Topological entropy and axiom \(A\). Zbl 0207.54402
Bowen, R.
44
1970
Zeta functions of restrictions of the shift transformation. Zbl 0211.56501
Bowen, R.; Lanford, O. E. III
37
1970
Markov partitions and minimal sets for axiom A diffeomorphisms. Zbl 0212.29104
Bowen, R.
24
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.
16
1967
all top 5

Cited by 2,206 Authors

46 Pollicott, Mark
36 Varandas, Paulo
31 Urbański, Mariusz
26 Kifer, Yuri
22 Ledrappier, François
20 Chen, Ercai
19 Alves, José Ferreira
19 Cao, Yongluo
19 Oprocha, Piotr
19 Ruelle, David Pierre
19 Zhao, Yun
18 Araújo, Vítor
18 Bowen, Rufus
18 Sharp, Richard W.
17 Climenhaga, Vaughn
17 Melbourne, Ian
17 Yorke, James Alan
17 Young, Lai-Sang
16 Artigue, Alfonso
16 Barreira, Luis Manuel
16 Buzzi, Jérôme
16 Matsumoto, Kengo
16 Mihailescu, Eugen Gh.
16 Morales, Carlos Arnoldo
16 Tian, Xueting
15 Gelfert, Katrin Grit
15 Giordano Bruno, Anna
15 Stoyanov, Luchezar N.
14 Pesin, Yakov Borisovich
14 Sun, Wenxiang
14 Wolf, Christian K.
13 Boyle, Mike
13 Lee, Keonhee
12 Cánovas, Jose S.
12 Dikranjan, Dikran N.
12 Feng, De-Jun
12 Huang, Wen
12 Iommi, Godofredo
12 Lee, Manseob
12 Ma, Dongkui
12 Rams, Michał
12 Sarig, Omri M.
12 Takahasi, Hiroki
12 Thompson, Daniel J.
11 Collet, Pierre
11 Denker, Manfred
11 Gallavotti, Giovanni M.
11 Hu, Huyi
11 Leplaideur, Renaud
11 Li, Zhiming
11 Pacifico, Maria José
11 Pilyugin, Sergei Yu.
11 Tresser, Charles
11 Zhu, Yujun
10 Ban, Jungchao
10 Block, Louis Stuart
10 Chernov, Nikolai Ivanovich
10 Dolgopyat, Dmitry
10 Fried, David
10 Jaerisch, Johannes
10 Jiang, Yunping
10 Knieper, Gerhard
10 Lalley, Steven P.
10 Lind, Douglas A.
10 Lopes, Artur Oscar
10 Mcgoff, Kevin
10 Ratner, Marina
9 Bonatti, Christian
9 Boyarsky, Abraham
9 Cheng, Wenchiao
9 Fisher, Todd L.
9 Grines, Vyacheslav Zigmundovich
9 Haydn, Nicolai T. A.
9 Kesseböhmer, Marc
9 Marcus, Brian H.
9 Naud, Frédéric
9 Pavlov, Ronnie
9 Viana, Marcelo
9 Walters, Peter
9 Weiss, Howard
9 Ye, Yuanling
9 Zhou, Yunhua
8 Backes, Lucas H.
8 Bárány, Balázs
8 Guillarmou, Colin
8 Jenkinson, Oliver
8 Katok, Anatole
8 Keller, Gerhard
8 Meddaugh, Jonathan
8 Mesón, Alejandro M.
8 Meyerovitch, Tom
8 Nusse, Helena Engelina
8 Parry, William
8 Przytycki, Feliks
8 Rivera-Letelier, Juan
8 Sambarino, Andrés
8 Schmidt, Klaus
8 Series, Caroline
8 Sigmund, Karl
8 Tikhomirov, Sergey B.
...and 2,106 more Authors
all top 5

Cited in 361 Serials

288 Ergodic Theory and Dynamical Systems
128 Transactions of the American Mathematical Society
122 Journal of Statistical Physics
111 Communications in Mathematical Physics
106 Israel Journal of Mathematics
95 Discrete and Continuous Dynamical Systems
85 Proceedings of the American Mathematical Society
68 Inventiones Mathematicae
66 Journal of Differential Equations
58 Journal of Mathematical Analysis and Applications
58 Topology and its Applications
47 Advances in Mathematics
47 Dynamical Systems
44 Nonlinearity
42 Chaos, Solitons and Fractals
41 Physica D
37 Monatshefte für Mathematik
32 Mathematische Zeitschrift
30 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
24 Annales de l’Institut Fourier
24 Acta Mathematica Sinica. English Series
24 Stochastics and Dynamics
22 Bulletin of the American Mathematical Society. New Series
21 Publications Mathématiques
21 Bulletin of the Brazilian Mathematical Society. New Series
21 Journal of Modern Dynamics
20 Journal of Dynamics and Differential Equations
20 Chaos
18 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
18 Qualitative Theory of Dynamical Systems
17 Journal of Dynamical and Control Systems
16 Duke Mathematical Journal
14 Journal d’Analyse Mathématique
14 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 Journal of Mathematical Physics
12 Acta Mathematica
12 Functional Analysis and its Applications
11 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
11 Boletim da Sociedade Brasileira de Matemática. Nova Série
11 Bulletin of the American Mathematical Society
10 Mathematische Annalen
10 Nagoya Mathematical Journal
10 Journal of the American Mathematical Society
10 Journal of Difference Equations and Applications
10 Comptes Rendus. Mathématique. Académie des Sciences, Paris
10 Science China. Mathematics
9 Annales de l’Institut Henri Poincaré. Physique Théorique
9 Annales Henri Poincaré
8 Bulletin of the Australian Mathematical Society
8 Journal of Mathematical Biology
8 Automatica
8 Geometriae Dedicata
8 Memoirs of the American Mathematical Society
8 Linear Algebra and its Applications
8 Journal of the European Mathematical Society (JEMS)
8 Differential Equations
7 Mathematical Notes
7 The Annals of Probability
7 Fundamenta Mathematicae
7 Mathematical Systems Theory
7 Topological Methods in Nonlinear Analysis
7 Electronic Research Announcements of the American Mathematical Society
7 Geometry & Topology
7 Annals of Mathematics. Second Series
7 Discrete and Continuous Dynamical Systems. Series B
6 Acta Mechanica
6 Discrete Mathematics
6 Tokyo Journal of Mathematics
6 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
6 Journal of Elasticity
6 Journal of Mathematical Chemistry
6 Taiwanese Journal of Mathematics
6 Topological Algebra and its Applications
6 Nonlinear Analysis. Theory, Methods & Applications
5 Archive for Rational Mechanics and Analysis
5 Journal of Computational Physics
5 Journal of Geometry and Physics
5 Fuzzy Sets and Systems
5 Journal of Economic Theory
5 Journal of the Korean Mathematical Society
5 Mathematische Nachrichten
5 Acta Applicandae Mathematicae
5 Applied Mathematics. Series B (English Edition)
5 Communications in Contemporary Mathematics
5 Differentsial’nye Uravneniya i Protsessy Upravleniya
5 Proceedings of the Steklov Institute of Mathematics
5 Groups, Geometry, and Dynamics
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 Journal of Computational and Applied Mathematics
4 Journal of Number Theory
4 Publications of the Research Institute for Mathematical Sciences, Kyoto University
...and 261 more Serials
all top 5

Cited in 58 Fields

2,259 Dynamical systems and ergodic theory (37-XX)
460 Measure and integration (28-XX)
337 General topology (54-XX)
210 Probability theory and stochastic processes (60-XX)
155 Differential geometry (53-XX)
119 Statistical mechanics, structure of matter (82-XX)
106 Functions of a complex variable (30-XX)
93 Number theory (11-XX)
91 Manifolds and cell complexes (57-XX)
90 Global analysis, analysis on manifolds (58-XX)
77 Topological groups, Lie groups (22-XX)
73 Ordinary differential equations (34-XX)
65 Group theory and generalizations (20-XX)
60 Functional analysis (46-XX)
43 Operator theory (47-XX)
38 Information and communication theory, circuits (94-XX)
37 Several complex variables and analytic spaces (32-XX)
36 Biology and other natural sciences (92-XX)
36 Systems theory; control (93-XX)
34 Real functions (26-XX)
34 Numerical analysis (65-XX)
33 Combinatorics (05-XX)
32 Partial differential equations (35-XX)
28 Quantum theory (81-XX)
27 Fluid mechanics (76-XX)
25 Computer science (68-XX)
25 Mechanics of deformable solids (74-XX)
23 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
21 Mechanics of particles and systems (70-XX)
19 Difference and functional equations (39-XX)
19 Statistics (62-XX)
18 Convex and discrete geometry (52-XX)
16 Linear and multilinear algebra; matrix theory (15-XX)
16 Abstract harmonic analysis (43-XX)
12 Algebraic geometry (14-XX)
11 Algebraic topology (55-XX)
10 Mathematical logic and foundations (03-XX)
9 Harmonic analysis on Euclidean spaces (42-XX)
8 History and biography (01-XX)
8 Potential theory (31-XX)
8 Calculus of variations and optimal control; optimization (49-XX)
8 Classical thermodynamics, heat transfer (80-XX)
7 Order, lattices, ordered algebraic structures (06-XX)
7 Approximations and expansions (41-XX)
7 Geometry (51-XX)
7 Operations research, mathematical programming (90-XX)
6 \(K\)-theory (19-XX)
5 Associative rings and algebras (16-XX)
4 Category theory; homological algebra (18-XX)
3 General and overarching topics; collections (00-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 Integral equations (45-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year

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