## Bowen, Rufus

Compute Distance To:
 Author ID: 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 170 Co-Co-Authors
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### Co-Authors

 40 single-authored 2 Franks, John M. 1 Fisk, Steve 1 Lanford, Oscar E. III 1 Marcus, Brian H. 1 Ruelle, David Pierre 1 Series, Caroline 1 Walters, Peter
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### Serials

 5 American Journal of Mathematics 5 Transactions of the American Mathematical Society 4 Israel Journal of Mathematics 4 Topology 3 Journal of Differential Equations 3 Mathematical Systems Theory 2 Mathematics of Computation 2 Publications Mathématiques 2 Inventiones Mathematicae 2 Annals of Mathematics. Second Series 2 Lecture Notes in Mathematics 1 American Mathematical Monthly 1 Communications in Mathematical Physics 1 Canadian Mathematical Bulletin 1 Proceedings of the American Mathematical Society 1 Regional Conference Series in Mathematics
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### Fields

 29 Dynamical systems and ergodic theory (37-XX) 17 Measure and integration (28-XX) 14 General topology (54-XX) 7 Manifolds and cell complexes (57-XX) 2 Topological groups, Lie groups (22-XX) 2 Functions of a complex variable (30-XX) 2 Probability theory and stochastic processes (60-XX) 1 Abstract harmonic analysis (43-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX)

### Citations contained in zbMATH Open

44 Publications have been cited 3,825 times in 2,742 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.
1971
The ergodic theory of axiom A flows. Zbl 0311.58010
Bowen, Rufus; Ruelle, David
1975
Hausdorff dimension of quasi-circles. Zbl 0439.30032
Bowen, Rufus
1979
Periodic points and measures for axiom A diffeomorphisms. Zbl 0212.29103
Bowen, R.
1971
Symbolic dynamics for hyperbolic flows. Zbl 0282.58009
Bowen, Rufus
1973
Markov partitions for axiom A diffeomorphisms. Zbl 0208.25901
Bowen, R.
1970
Topological entropy for noncompact sets. Zbl 0274.54030
Bowen, Rufus
1974
Equilibrium states and the ergodic theory of Anosov diffeomorphisms. 2nd revised ed. Zbl 1172.37001
Bowen, Rufus
2008
Periodic orbits for hyperbolic flows. Zbl 0254.58005
Bowen, Rufus
1972
Expansive one-parameter flows. Zbl 0242.54041
Bowen, Rufus; Walters, Peter
1972
$$\omega$$-limit sets for axiom A diffeomorphisms. Zbl 0315.58019
Bowen, Rufus
1975
Some systems with unique equilibrium states. Zbl 0299.54031
Bowen, Rufus
1975
Markov maps associated with Fuchsian groups. Zbl 0439.30033
Bowen, Rufus; Series, Caroline
1979
On Axiom A diffeomorphisms. Zbl 0383.58010
Bowen, Rufus
1978
The periodic points of maps of the disk and the interval. Zbl 0346.58010
Bowen, Rufus; Franks, John
1976
Entropy-expansive maps. Zbl 0229.28011
Bowen, Rufus
1972
Invariant measures for Markov maps of the interval. Zbl 0421.28016
Bowen, Rufus
1979
Homology for zero-dimensional nonwandering sets. Zbl 0375.58018
Bowen, Rufus; Franks, John
1977
Unique ergodicity for horocycle foliations. Zbl 0346.58009
Bowen, Rufus; Marcus, Brian
1977
Topological entropy and axiom $$A$$. Zbl 0207.54402
Bowen, R.
1970
Zeta functions of restrictions of the shift transformation. Zbl 0211.56501
Bowen, R.; Lanford, O. E. III
1970
The equidistribution of closed geodesics. Zbl 0249.53033
Bowen, Rufus
1972
A horseshoe with positive measure. Zbl 0306.58013
Bowen, Rufus
1975
Markov partitions are not smooth. Zbl 0417.58011
Bowen, Rufus
1978
Markov partitions and minimal sets for axiom A diffeomorphisms. Zbl 0212.29104
Bowen, R.
1970
Bernoulli maps of the interval. Zbl 0377.28010
Bowen, Rufus
1977
One-dimensional hyperbolic sets for flows. Zbl 0242.58005
Bowen, Rufus
1972
BERNOULLI EQUILIBRIUM STATES FOR AXIOM A diffeomorphisms. Zbl 0304.28012
Bowen, Rufus
1975
Anosov foliations are hyperfinite. Zbl 0374.58008
Bowen, Rufus
1977
Generation of triangulations of the sphere. Zbl 0163.18201
Bowen, R.; Fisk, S.
1967
Erratum to “Entropy for group endomorphisms and homogeneous spaces”. Zbl 0275.22013
Bowen, R.
1973
Maximizing entropy for a hyperbolic flow. Zbl 0303.58014
Bowen, Rufus
1974
A new proof of a theorem in utility theory. Zbl 0164.50307
Bowen, R.
1968
Weak mixing and unique ergodicity on homogeneous spaces. Zbl 0338.43014
Bowen, Rufus
1976
Entropy and the fundamental group. Zbl 0389.58010
Bowen, Rufus
1978
Ergodic theory of Axiom A flows. Zbl 0327.58010
Bowen, R.
1975
Smooth partitions of Anosov diffeomorphisms are weak Bernoulli. Zbl 0315.58020
Bowen, Rufus
1975
Mixing Anosov flows. Zbl 0321.58018
Bowen, Rufus
1976
Entropy versus homology for certain diffeomorphisms. Zbl 0282.58010
Bowen, Rufus
1974
Entropy for maps of the interval. Zbl 0401.54036
Bowen, Rufus
1977
A model for Couette flow data. Zbl 0363.58002
Bowen, Rufus
1977
Symbolic dynamics for hyperbolic systems. Zbl 0257.54042
Bowen, Rufus
1973
Symbolic dynamics for hyperbolic flows. Zbl 0336.58009
Bowen, Rufus
1975
Equilibrium states and the ergodic theory of Anosov diffeomorphisms. 2nd revised ed. Zbl 1172.37001
Bowen, Rufus
2008
Hausdorff dimension of quasi-circles. Zbl 0439.30032
Bowen, Rufus
1979
Markov maps associated with Fuchsian groups. Zbl 0439.30033
Bowen, Rufus; Series, Caroline
1979
Invariant measures for Markov maps of the interval. Zbl 0421.28016
Bowen, Rufus
1979
On Axiom A diffeomorphisms. Zbl 0383.58010
Bowen, Rufus
1978
Markov partitions are not smooth. Zbl 0417.58011
Bowen, Rufus
1978
Entropy and the fundamental group. Zbl 0389.58010
Bowen, Rufus
1978
Homology for zero-dimensional nonwandering sets. Zbl 0375.58018
Bowen, Rufus; Franks, John
1977
Unique ergodicity for horocycle foliations. Zbl 0346.58009
Bowen, Rufus; Marcus, Brian
1977
Bernoulli maps of the interval. Zbl 0377.28010
Bowen, Rufus
1977
Anosov foliations are hyperfinite. Zbl 0374.58008
Bowen, Rufus
1977
Entropy for maps of the interval. Zbl 0401.54036
Bowen, Rufus
1977
A model for Couette flow data. Zbl 0363.58002
Bowen, Rufus
1977
The periodic points of maps of the disk and the interval. Zbl 0346.58010
Bowen, Rufus; Franks, John
1976
Weak mixing and unique ergodicity on homogeneous spaces. Zbl 0338.43014
Bowen, Rufus
1976
Mixing Anosov flows. Zbl 0321.58018
Bowen, Rufus
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
1975
$$\omega$$-limit sets for axiom A diffeomorphisms. Zbl 0315.58019
Bowen, Rufus
1975
Some systems with unique equilibrium states. Zbl 0299.54031
Bowen, Rufus
1975
A horseshoe with positive measure. Zbl 0306.58013
Bowen, Rufus
1975
BERNOULLI EQUILIBRIUM STATES FOR AXIOM A diffeomorphisms. Zbl 0304.28012
Bowen, Rufus
1975
Ergodic theory of Axiom A flows. Zbl 0327.58010
Bowen, R.
1975
Smooth partitions of Anosov diffeomorphisms are weak Bernoulli. Zbl 0315.58020
Bowen, Rufus
1975
Symbolic dynamics for hyperbolic flows. Zbl 0336.58009
Bowen, Rufus
1975
Topological entropy for noncompact sets. Zbl 0274.54030
Bowen, Rufus
1974
Maximizing entropy for a hyperbolic flow. Zbl 0303.58014
Bowen, Rufus
1974
Entropy versus homology for certain diffeomorphisms. Zbl 0282.58010
Bowen, Rufus
1974
Symbolic dynamics for hyperbolic flows. Zbl 0282.58009
Bowen, Rufus
1973
Erratum to “Entropy for group endomorphisms and homogeneous spaces”. Zbl 0275.22013
Bowen, R.
1973
Symbolic dynamics for hyperbolic systems. Zbl 0257.54042
Bowen, Rufus
1973
Periodic orbits for hyperbolic flows. Zbl 0254.58005
Bowen, Rufus
1972
Expansive one-parameter flows. Zbl 0242.54041
Bowen, Rufus; Walters, Peter
1972
Entropy-expansive maps. Zbl 0229.28011
Bowen, Rufus
1972
The equidistribution of closed geodesics. Zbl 0249.53033
Bowen, Rufus
1972
One-dimensional hyperbolic sets for flows. Zbl 0242.58005
Bowen, Rufus
1972
Entropy for group endomorphisms and homogeneous spaces. Zbl 0212.29201
Bowen, R.
1971
Periodic points and measures for axiom A diffeomorphisms. Zbl 0212.29103
Bowen, R.
1971
Markov partitions for axiom A diffeomorphisms. Zbl 0208.25901
Bowen, R.
1970
Topological entropy and axiom $$A$$. Zbl 0207.54402
Bowen, R.
1970
Zeta functions of restrictions of the shift transformation. Zbl 0211.56501
Bowen, R.; Lanford, O. E. III
1970
Markov partitions and minimal sets for axiom A diffeomorphisms. Zbl 0212.29104
Bowen, R.
1970
A new proof of a theorem in utility theory. Zbl 0164.50307
Bowen, R.
1968
Generation of triangulations of the sphere. Zbl 0163.18201
Bowen, R.; Fisk, S.
1967
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### Cited by 2,193 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 Yorke, James Alan 17 Young, Lai-Sang 16 Artigue, Alfonso 16 Barreira, Luis Manuel 16 Buzzi, Jérôme 16 Matsumoto, Kengo 16 Melbourne, Ian 16 Morales, Carlos Arnoldo 16 Tian, Xueting 15 Gelfert, Katrin Grit 15 Giordano Bruno, Anna 15 Mihailescu, Eugen Gh. 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 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 Dolgopyat, Dmitry 9 Haydn, Nicolai T. A. 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 Fisher, Todd L. 8 Grines, Vyacheslav Zigmundovich 8 Guillarmou, Colin 8 Jenkinson, Oliver 8 Katok, Anatole 8 Keller, Gerhard 8 Kesseböhmer, Marc 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 Sigmund, Karl 8 Tikhomirov, Sergey B. 8 Vaienti, Sandro ...and 2,093 more Authors
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### Cited in 359 Serials

 286 Ergodic Theory and Dynamical Systems 128 Transactions of the American Mathematical Society 122 Journal of Statistical Physics 111 Communications in Mathematical Physics 104 Israel Journal of Mathematics 93 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 46 Advances in Mathematics 46 Dynamical Systems 44 Nonlinearity 42 Chaos, Solitons and Fractals 41 Physica D 37 Monatshefte für Mathematik 32 Mathematische Zeitschrift 29 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 Journal of Modern Dynamics 20 Journal of Dynamics and Differential Equations 20 Chaos 20 Bulletin of the Brazilian Mathematical Society. New Series 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 Boletim da Sociedade Brasileira de Matemática. Nova Série 11 Bulletin of the American Mathematical Society 10 Mathematische Annalen 10 Nagoya Mathematical Journal 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 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 259 more Serials
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### Cited in 57 Fields

 2,240 Dynamical systems and ergodic theory (37-XX) 457 Measure and integration (28-XX) 339 General topology (54-XX) 210 Probability theory and stochastic processes (60-XX) 153 Differential geometry (53-XX) 119 Statistical mechanics, structure of matter (82-XX) 106 Functions of a complex variable (30-XX) 92 Number theory (11-XX) 91 Manifolds and cell complexes (57-XX) 90 Global analysis, analysis on manifolds (58-XX) 76 Topological groups, Lie groups (22-XX) 73 Ordinary differential equations (34-XX) 62 Group theory and generalizations (20-XX) 59 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) 35 Real functions (26-XX) 33 Numerical analysis (65-XX) 31 Combinatorics (05-XX) 31 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) 17 Convex and discrete geometry (52-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 15 Abstract harmonic analysis (43-XX) 12 Algebraic geometry (14-XX) 11 Algebraic topology (55-XX) 10 Mathematical logic and foundations (03-XX) 8 History and biography (01-XX) 8 Potential theory (31-XX) 8 Harmonic analysis on Euclidean spaces (42-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 Relativity and gravitational theory (83-XX)

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