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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
178 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

45 Publications have been cited 4,790 times in 3,394 Documents Cited by Year
Equilibrium states and the ergodic theory of Anosov diffeomorphisms. Zbl 0308.28010
Bowen, Rufus
1975
Entropy for group endomorphisms and homogeneous spaces. Zbl 0212.29201
Bowen, R.
469
1971
The ergodic theory of axiom A flows. Zbl 0311.58010
Bowen, Rufus; Ruelle, David
362
1975
Topological entropy for noncompact sets. Zbl 0274.54030
Bowen, Rufus
244
1974
Hausdorff dimension of quasi-circles. Zbl 0439.30032
Bowen, Rufus
226
1979
Periodic points and measures for axiom A diffeomorphisms. Zbl 0212.29103
Bowen, R.
216
1971
Equilibrium states and the ergodic theory of Anosov diffeomorphisms. 2nd revised ed. Zbl 1172.37001
Bowen, Rufus
194
2008
Symbolic dynamics for hyperbolic flows. Zbl 0282.58009
Bowen, Rufus
193
1973
Markov partitions for axiom A diffeomorphisms. Zbl 0208.25901
Bowen, R.
187
1970
Periodic orbits for hyperbolic flows. Zbl 0254.58005
Bowen, Rufus
154
1972
Expansive one-parameter flows. Zbl 0242.54041
Bowen, Rufus; Walters, Peter
152
1972
\(\omega\)-limit sets for axiom A diffeomorphisms. Zbl 0315.58019
Bowen, Rufus
145
1975
Some systems with unique equilibrium states. Zbl 0299.54031
Bowen, Rufus
140
1975
Markov maps associated with Fuchsian groups. Zbl 0439.30033
Bowen, Rufus; Series, Caroline
104
1979
Entropy-expansive maps. Zbl 0229.28011
Bowen, Rufus
98
1972
On Axiom A diffeomorphisms. Zbl 0383.58010
Bowen, Rufus
96
1978
Topological entropy and axiom \(A\). Zbl 0207.54402
Bowen, R.
85
1970
The periodic points of maps of the disk and the interval. Zbl 0346.58010
Bowen, Rufus; Franks, John
77
1976
Invariant measures for Markov maps of the interval. Zbl 0421.28016
Bowen, Rufus
65
1979
Homology for zero-dimensional nonwandering sets. Zbl 0375.58018
Bowen, Rufus; Franks, John
59
1977
Unique ergodicity for horocycle foliations. Zbl 0346.58009
Bowen, Rufus; Marcus, Brian
57
1977
Zeta functions of restrictions of the shift transformation. Zbl 0211.56501
Bowen, R.; Lanford, O. E. III
52
1970
The equidistribution of closed geodesics. Zbl 0249.53033
Bowen, Rufus
47
1972
A horseshoe with positive measure. Zbl 0306.58013
Bowen, Rufus
36
1975
Markov partitions are not smooth. Zbl 0417.58011
Bowen, Rufus
30
1978
Markov partitions and minimal sets for axiom A diffeomorphisms. Zbl 0212.29104
Bowen, R.
28
1970
Entropy and the fundamental group. Zbl 0389.58010
Bowen, Rufus
27
1978
One-dimensional hyperbolic sets for flows. Zbl 0242.58005
Bowen, Rufus
23
1972
Bernoulli maps of the interval. Zbl 0377.28010
Bowen, Rufus
23
1977
BERNOULLI EQUILIBRIUM STATES FOR AXIOM A diffeomorphisms. Zbl 0304.28012
Bowen, Rufus
21
1975
Generation of triangulations of the sphere. Zbl 0163.18201
Bowen, R.; Fisk, S.
19
1967
Maximizing entropy for a hyperbolic flow. Zbl 0303.58014
Bowen, Rufus
18
1974
Erratum to “Entropy for group endomorphisms and homogeneous spaces”. Zbl 0275.22013
Bowen, R.
17
1973
Anosov foliations are hyperfinite. Zbl 0374.58008
Bowen, Rufus
17
1977
Weak mixing and unique ergodicity on homogeneous spaces. Zbl 0338.43014
Bowen, Rufus
13
1976
A new proof of a theorem in utility theory. Zbl 0164.50307
Bowen, R.
12
1968
Ergodic theory of Axiom A flows. Zbl 0327.58010
Bowen, R.
9
1975
Mixing Anosov flows. Zbl 0321.58018
Bowen, Rufus
8
1976
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 flows. Zbl 0336.58009
Bowen, Rufus
3
1975
Symbolic dynamics for hyperbolic systems. Zbl 0257.54042
Bowen, Rufus
3
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
On sums of valencies in planar graphs. Zbl 0144.45103
Bowen, R.
1
1966
Equilibrium states and the ergodic theory of Anosov diffeomorphisms. 2nd revised ed. Zbl 1172.37001
Bowen, Rufus
194
2008
Hausdorff dimension of quasi-circles. Zbl 0439.30032
Bowen, Rufus
226
1979
Markov maps associated with Fuchsian groups. Zbl 0439.30033
Bowen, Rufus; Series, Caroline
104
1979
Invariant measures for Markov maps of the interval. Zbl 0421.28016
Bowen, Rufus
65
1979
On Axiom A diffeomorphisms. Zbl 0383.58010
Bowen, Rufus
96
1978
Markov partitions are not smooth. Zbl 0417.58011
Bowen, Rufus
30
1978
Entropy and the fundamental group. Zbl 0389.58010
Bowen, Rufus
27
1978
Homology for zero-dimensional nonwandering sets. Zbl 0375.58018
Bowen, Rufus; Franks, John
59
1977
Unique ergodicity for horocycle foliations. Zbl 0346.58009
Bowen, Rufus; Marcus, Brian
57
1977
Bernoulli maps of the interval. Zbl 0377.28010
Bowen, Rufus
23
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
77
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
1975
The ergodic theory of axiom A flows. Zbl 0311.58010
Bowen, Rufus; Ruelle, David
362
1975
\(\omega\)-limit sets for axiom A diffeomorphisms. Zbl 0315.58019
Bowen, Rufus
145
1975
Some systems with unique equilibrium states. Zbl 0299.54031
Bowen, Rufus
140
1975
A horseshoe with positive measure. Zbl 0306.58013
Bowen, Rufus
36
1975
BERNOULLI EQUILIBRIUM STATES FOR AXIOM A diffeomorphisms. Zbl 0304.28012
Bowen, Rufus
21
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
3
1975
Topological entropy for noncompact sets. Zbl 0274.54030
Bowen, Rufus
244
1974
Maximizing entropy for a hyperbolic flow. Zbl 0303.58014
Bowen, Rufus
18
1974
Entropy versus homology for certain diffeomorphisms. Zbl 0282.58010
Bowen, Rufus
3
1974
Symbolic dynamics for hyperbolic flows. Zbl 0282.58009
Bowen, Rufus
193
1973
Erratum to “Entropy for group endomorphisms and homogeneous spaces”. Zbl 0275.22013
Bowen, R.
17
1973
Symbolic dynamics for hyperbolic systems. Zbl 0257.54042
Bowen, Rufus
3
1973
Periodic orbits for hyperbolic flows. Zbl 0254.58005
Bowen, Rufus
154
1972
Expansive one-parameter flows. Zbl 0242.54041
Bowen, Rufus; Walters, Peter
152
1972
Entropy-expansive maps. Zbl 0229.28011
Bowen, Rufus
98
1972
The equidistribution of closed geodesics. Zbl 0249.53033
Bowen, Rufus
47
1972
One-dimensional hyperbolic sets for flows. Zbl 0242.58005
Bowen, Rufus
23
1972
Entropy for group endomorphisms and homogeneous spaces. Zbl 0212.29201
Bowen, R.
469
1971
Periodic points and measures for axiom A diffeomorphisms. Zbl 0212.29103
Bowen, R.
216
1971
Markov partitions for axiom A diffeomorphisms. Zbl 0208.25901
Bowen, R.
187
1970
Topological entropy and axiom \(A\). Zbl 0207.54402
Bowen, R.
85
1970
Zeta functions of restrictions of the shift transformation. Zbl 0211.56501
Bowen, R.; Lanford, O. E. III
52
1970
Markov partitions and minimal sets for axiom A diffeomorphisms. Zbl 0212.29104
Bowen, R.
28
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.
19
1967
On sums of valencies in planar graphs. Zbl 0144.45103
Bowen, R.
1
1966
all top 5

Cited by 2,639 Authors

51 Pollicott, Mark
43 Varandas, Paulo
32 Urbański, Mariusz
28 Kifer, Yuri
28 Morales Rojas, Carlos Arnoldo
26 Chen, Ercai
26 Oprocha, Piotr
24 Tian, Xueting
23 Ledrappier, François
22 Sharp, Richard W.
22 Zhao, Yun
21 Alves, José Ferreira
21 Araújo, Vítor
21 Cao, Yongluo
20 Gelfert, Katrin Grit
20 Giordano Bruno, Anna
20 Ruelle, David Pierre
19 Climenhaga, Vaughn
19 Lee, Keonhee
19 Ma, Dongkui
19 Mihailescu, Eugen Gh.
19 Yorke, James Alan
18 Artigue, Alfonso
18 Barreira, Luis Manuel
18 Bowen, Rufus
18 Buzzi, Jérôme
18 Cánovas, Jose S.
18 Li, Zhiming
18 Melbourne, Ian
17 Lee, Manseob
17 Young, Lai-Sang
16 Dikranjan, Dikran N.
16 Feng, De-Jun
16 Matsumoto, Kengo
16 Pacifico, Maria José
16 Rams, Michał
16 Stoyanov, Luchezar N.
15 Takahasi, Hiroki
15 Wolf, Christian
14 Boyle, Mike
14 Huang, Wen
14 Iommi, Godofredo
14 Mesón, Alejandro M.
14 Pesin, Yakov Borisovich
14 Sarig, Omri M.
14 Sun, Wenxiang
14 Vericat, Fernando
14 Zhu, Yujun
13 Ban, Jungchao
13 Denker, Manfred
13 Dolgopyat, Dmitry
13 Gallavotti, Giovanni M.
13 Leplaideur, Renaud
13 Mcgoff, Kevin
13 Thompson, Daniel J.
13 Viana, Marcelo
13 Yang, Jiagang
13 Zhou, Xiaoyao
13 Zhou, Yunhua
12 Cheng, Wenchiao
12 Liu, Lei
12 Pilyugin, Sergeĭ Yur’evich
12 Sambarino, Andrés
12 Todd, Mike
11 Andres, Jan
11 Collet, Pierre
11 Grines, Vyacheslav Zigmundovich
11 Hu, Huyi
11 Jiang, Yunping
11 Knieper, Gerhard
11 Lopes, Artur Oscar
11 Tresser, Charles
11 Ye, Yuanling
11 Zhuzhoma, Evgeniĭ Viktorovich
10 Backes, Lucas H.
10 Bárány, Balázs
10 Block, Louis Stuart
10 Boyarsky, Abraham
10 Chernov, Nikolai Ivanovich
10 Fried, David
10 Haydn, Nicolai T. A.
10 Huang, Yu
10 Jaerisch, Johannes
10 Kesseböhmer, Marc
10 Lalley, Steven P.
10 Lind, Douglas A.
10 Park, Kiho
10 Pavlov, Ronnie
10 Ratner, Marina
10 Series, Caroline
10 Tikhomirov, Sergey B.
10 Walters, Peter
10 Yang, Dawei
9 Biś, Andrzej
9 Bonatti, Christian
9 Das, Tarun Kumar
9 Fisher, Todd L.
9 Guillarmou, Colin
9 Marcus, Brian H.
9 Meddaugh, Jonathan
...and 2,539 more Authors
all top 5

Cited in 408 Serials

330 Ergodic Theory and Dynamical Systems
136 Transactions of the American Mathematical Society
132 Journal of Statistical Physics
121 Communications in Mathematical Physics
116 Discrete and Continuous Dynamical Systems
112 Israel Journal of Mathematics
94 Proceedings of the American Mathematical Society
84 Journal of Mathematical Analysis and Applications
82 Nonlinearity
76 Inventiones Mathematicae
76 Journal of Differential Equations
74 Topology and its Applications
63 Advances in Mathematics
62 Physica D
61 Chaos, Solitons and Fractals
59 Dynamical Systems
41 Monatshefte für Mathematik
36 Mathematische Zeitschrift
33 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
30 Journal of Dynamics and Differential Equations
30 Qualitative Theory of Dynamical Systems
28 Journal of Dynamical and Control Systems
28 Stochastics and Dynamics
28 Journal of Modern Dynamics
27 Acta Mathematica Sinica. English Series
25 Annales de l’Institut Fourier
25 Chaos
23 Bulletin of the Brazilian Mathematical Society. New Series
22 Bulletin of the American Mathematical Society. New Series
21 Publications Mathématiques
19 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
18 Duke Mathematical Journal
16 Journal of Functional Analysis
16 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
16 Journal of Mathematical Sciences (New York)
16 Journal of Difference Equations and Applications
15 Journal d’Analyse Mathématique
15 Journal of Mathematical Physics
14 Mathematical Proceedings of the Cambridge Philosophical Society
14 Probability Theory and Related Fields
14 Geometric and Functional Analysis. GAFA
13 Functional Analysis and its Applications
13 Fundamenta Mathematicae
13 Annales Henri Poincaré
12 Acta Mathematica
12 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
12 Geometriae Dedicata
12 Memoirs of the American Mathematical Society
12 Journal of the American Mathematical Society
12 Linear Algebra and its Applications
11 Mathematische Annalen
11 Boletim da Sociedade Brasileira de Matemática. Nova Série
11 Geometry & Topology
11 Comptes Rendus. Mathématique. Académie des Sciences, Paris
11 Bulletin of the American Mathematical Society
11 Science China. Mathematics
10 Nagoya Mathematical Journal
10 Journal of the European Mathematical Society (JEMS)
9 Annales de l’Institut Henri Poincaré. Physique Théorique
9 Topological Methods in Nonlinear Analysis
8 Bulletin of the Australian Mathematical Society
8 Journal of Computational Physics
8 Journal of Mathematical Biology
8 Mathematical Notes
8 The Annals of Probability
8 Automatica
8 Mathematische Nachrichten
8 Annals of Mathematics. Second Series
8 Communications in Contemporary Mathematics
8 Differential Equations
8 Discrete and Continuous Dynamical Systems. Series B
8 Journal of Dynamical Systems and Geometric Theories
7 Journal of the London Mathematical Society. Second Series
7 Mathematical Systems Theory
7 Proceedings of the London Mathematical Society. Third Series
7 Results in Mathematics
7 Stochastic Processes and their Applications
7 Electronic Research Announcements of the American Mathematical Society
7 Taiwanese Journal of Mathematics
7 Regular and Chaotic Dynamics
7 Communications in Nonlinear Science and Numerical Simulation
7 Topological Algebra and its Applications
7 Journal of Fractal Geometry
6 Acta Mechanica
6 Discrete Mathematics
6 Journal of Geometry and Physics
6 Commentarii Mathematici Helvetici
6 Fuzzy Sets and Systems
6 Journal of the Korean Mathematical Society
6 Tokyo Journal of Mathematics
6 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
6 Journal of Elasticity
6 Indagationes Mathematicae. New Series
6 Journal of Mathematical Chemistry
6 Differentsial’nye Uravneniya i Protsessy Upravleniya
6 SIAM Journal on Applied Dynamical Systems
6 Groups, Geometry, and Dynamics
6 Nonlinear Analysis. Theory, Methods & Applications
5 Archive for Rational Mechanics and Analysis
5 Communications on Pure and Applied Mathematics
...and 308 more Serials
all top 5

Cited in 60 Fields

2,816 Dynamical systems and ergodic theory (37-XX)
556 Measure and integration (28-XX)
392 General topology (54-XX)
251 Probability theory and stochastic processes (60-XX)
172 Differential geometry (53-XX)
135 Statistical mechanics, structure of matter (82-XX)
128 Functions of a complex variable (30-XX)
122 Number theory (11-XX)
120 Manifolds and cell complexes (57-XX)
99 Global analysis, analysis on manifolds (58-XX)
98 Group theory and generalizations (20-XX)
94 Topological groups, Lie groups (22-XX)
87 Ordinary differential equations (34-XX)
73 Functional analysis (46-XX)
59 Operator theory (47-XX)
52 Combinatorics (05-XX)
48 Numerical analysis (65-XX)
47 Information and communication theory, circuits (94-XX)
46 Several complex variables and analytic spaces (32-XX)
43 Systems theory; control (93-XX)
40 Biology and other natural sciences (92-XX)
39 Real functions (26-XX)
36 Partial differential equations (35-XX)
34 Quantum theory (81-XX)
33 Computer science (68-XX)
32 Fluid mechanics (76-XX)
28 Mechanics of particles and systems (70-XX)
25 Mechanics of deformable solids (74-XX)
25 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
23 Convex and discrete geometry (52-XX)
22 Statistics (62-XX)
20 Linear and multilinear algebra; matrix theory (15-XX)
19 Difference and functional equations (39-XX)
19 Abstract harmonic analysis (43-XX)
17 Algebraic geometry (14-XX)
16 Mathematical logic and foundations (03-XX)
16 Algebraic topology (55-XX)
12 Calculus of variations and optimal control; optimization (49-XX)
11 Geometry (51-XX)
10 Harmonic analysis on Euclidean spaces (42-XX)
10 Classical thermodynamics, heat transfer (80-XX)
10 Operations research, mathematical programming (90-XX)
9 \(K\)-theory (19-XX)
9 Potential theory (31-XX)
8 History and biography (01-XX)
8 Approximations and expansions (41-XX)
7 General and overarching topics; collections (00-XX)
7 Order, lattices, ordered algebraic structures (06-XX)
7 Associative rings and algebras (16-XX)
6 Category theory; homological algebra (18-XX)
4 Geophysics (86-XX)
2 Commutative algebra (13-XX)
2 Nonassociative rings and algebras (17-XX)
2 Special functions (33-XX)
1 General algebraic systems (08-XX)
1 Sequences, series, summability (40-XX)
1 Integral transforms, operational calculus (44-XX)
1 Integral equations (45-XX)
1 Relativity and gravitational theory (83-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year

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