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## Bowen, Rufus

Compute Distance To:
 Author ID: 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
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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 3,587 times in 2,587 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
Symbolic dynamics for hyperbolic flows. Zbl 0282.58009
Bowen, Rufus
1973
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 for noncompact sets. Zbl 0274.54030
Bowen, Rufus
1974
Periodic orbits for hyperbolic flows. Zbl 0254.58005
Bowen, Rufus
1972
The periodic points of maps of the disk and the interval. Zbl 0346.58010
Bowen, Rufus; Franks, John
1976
Equilibrium states and the ergodic theory of Anosov diffeomorphisms. 2nd revised ed. Zbl 1172.37001
Bowen, Rufus
2008
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
On Axiom A diffeomorphisms. Zbl 0383.58010
Bowen, Rufus
1978
Markov maps associated with Fuchsian groups. Zbl 0439.30033
Bowen, Rufus; Series, Caroline
1979
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
Entropy and the fundamental group. Zbl 0389.58010
Bowen, Rufus
1978
Generation of triangulations of the sphere. Zbl 0163.18201
Bowen, R.; Fisk, S.
1967
Weak mixing and unique ergodicity on homogeneous spaces. Zbl 0338.43014
Bowen, Rufus
1976
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
Mixing Anosov flows. Zbl 0321.58018
Bowen, Rufus
1976
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
Entropy versus homology for certain diffeomorphisms. Zbl 0282.58010
Bowen, Rufus
1974
Symbolic dynamics for hyperbolic systems. Zbl 0257.54042
Bowen, Rufus
1973
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 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 2,192 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
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#### 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
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#### 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)

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