## Brin, Michael

Compute Distance To:
 Author ID: brin.michael Published as: Brin, M.; Brin, Michael; Brin, M. I.; Brin, Misha External Links: MGP · Wikidata · GND · IdRef
 Documents Indexed: 43 Publications since 1972, including 2 Books 1 Contribution as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 18 Co-Authors with 33 Joint Publications 583 Co-Co-Authors
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### Co-Authors

 12 single-authored 9 Ballmann, Hans Werner 9 Pesin, Yakov Borisovich 4 Kifer, Yuri 2 Burago, Dmitri 2 Burns, Keith 2 Hasselblatt, Boris 2 Katok, Anatole B. 2 Stuck, Garrett J. 1 Barreira, Luis Manuel 1 Dolgopyat, Dmitry 1 Eberlein, Patrick B. 1 Feldman, Jacob 1 Freidlin, Mark I. 1 Gromov, Mikhael Leonidovich 1 Hu, Huyi 1 Ivanov, Sergei Vladimirovich 1 Karcher, Hermann 1 Manning, Anthony 1 Ott, William 1 Spatzier, Ralf J. 1 Yorke, James Alan
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### Serials

 5 Ergodic Theory and Dynamical Systems 3 Annals of Mathematics. Second Series 2 Uspekhi Matematicheskikh Nauk [N. S.] 2 Functional Analysis and its Applications 2 Journal of Differential Geometry 2 Soviet Mathematics. Doklady 1 Israel Journal of Mathematics 1 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 1 Mathematical Notes 1 American Journal of Mathematics 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Geometriae Dedicata 1 Publications Mathématiques 1 Inventiones Mathematicae 1 Mathematics of the USSR. Izvestiya 1 Mathematische Zeitschrift 1 Transactions of the American Mathematical Society 1 Topology and its Applications 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Journal of Modern Dynamics
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### Fields

 35 Dynamical systems and ergodic theory (37-XX) 14 Differential geometry (53-XX) 8 Manifolds and cell complexes (57-XX) 4 Measure and integration (28-XX) 4 Ordinary differential equations (34-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Probability theory and stochastic processes (60-XX) 2 Group theory and generalizations (20-XX) 2 Geometry (51-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX)

### Citations contained in zbMATH Open

40 Publications have been cited 835 times in 631 Documents Cited by Year
Introduction to dynamical systems. Zbl 1314.37002
Brin, Michael; Stuck, Garrett
2002
On local entropy. Zbl 0533.58020
Brin, M.; Katok, A.
1983
Lectures on Lyapunov exponents and smooth ergodic theory. (With two appendices by M. Brin, D. Dolgopyat, H. Hu and Ya. Pesin). Zbl 0996.37001
Barreira, L.; Pesin, Ya.
2001
Partially hyperbolic dynamical systems. Zbl 0304.58017
Brin, M. I.; Pesin, Ya. B.
1974
Topological transitivity of one class of dynamical systems and flows of frames on manifolds of negative curvature. Zbl 0357.58011
Brin, M. I.
1975
Orbihedra of nonpositive curvature. Zbl 0866.53029
Ballmann, Werner; Brin, Michael
1995
Structure of manifolds of nonpositive curvature. I. Zbl 0589.53047
Ballmann, Werner; Brin, Misha; Eberlein, Patrick
1985
Partially hyperbolic dynamical systems. Zbl 0309.58017
Brin, M. I.; Pesin, Ya. B.
1975
Dynamical coherence of partially hyperbolic diffeomorphisms of the 3-torus. Zbl 1190.37026
Brin, Michael; Burago, Dmitri; Ivanov, Sergey
2009
Structure of manifolds of nonpositive curvature. II. Zbl 0598.53046
Ballmann, Werner; Brin, Misha; Spatzier, Ralf
1985
On stochastic behavior of perturbed Hamiltonian systems. Zbl 0997.37020
Brin, Michael; Freidlin, Mark
2000
Polygonal complexes and combinatorial group theory. Zbl 0832.57002
Ballmann, W.; Brin, M.
1994
On the ergodicity of frame flows. Zbl 0445.58023
Brin, M.; Gromov, M.
1980
On partially hyperbolic diffeomorphisms of 3-manifolds with commutative fundamental group. Zbl 1147.37321
Brin, M.; Burago, D.; Ivanov, S.
2004
On dynamical coherence. Zbl 1140.37317
Brin, Michael
2003
Introduction to dynamical systems. Reprint of the 2002 hardback edition. Zbl 1319.37001
Brin, Michael; Stuck, Garrett
2015
On surfaces with no conjugate points. Zbl 0592.53041
Ballmann, W.; Brin, M.; Burns, K.
1987
Bernoulli diffeomorphisms and group extensions of dynamical systems with non-zero characteristic exponents. Zbl 0477.58021
Brin, M. I.; Feldman, J.; Katok, A.
1981
Frame flows on manifolds with pinched negative curvature. Zbl 0561.58039
Brin, M.; Karcher, H.
1984
On the differentiability of horocycles and horocycle foliations. Zbl 0609.53012
Ballmann, W.; Brin, M.; Burns, K.
1987
The topology of group extensions of C systems. Zbl 0332.58010
Brin, M. I.
1976
Dynamics of Markov chains and stable manifolds for random diffeomorphisms. Zbl 0656.58033
Brin, M.; Kifer, Yu.
1987
Brownian motion, harmonic functions and hyperbolicity for Euclidean complexes. Zbl 0984.58022
Brin, Michael; Kifer, Yuri
2001
Partially hyperbolic dynamical systems. Zbl 0285.58010
Brin, M. I.; Pesin, Ya. B.
1973
Diameter rigidity of spherical polyhedra. Zbl 0980.53045
Ballmann, Werner; Brin, Michael
1999
On the ergodicity of geodesic flows. Zbl 0519.58036
Ballmann, W.; Brin, M.
1982
Anosov diffeomorphisms with pinched spectrum. Zbl 0486.58023
Brin, M.; Manning, A.
1981
Ergodic theory of frame flows. Zbl 0511.58032
Brin, M.
1982
On the inclusion of a diffeomorphism in a flow. Zbl 0251.58006
Brin, M. I.
1972
Nonwandering points of Anosov diffeomorphisms. Zbl 0396.58021
Brin, M. I.
1978
Rank rigidity of Euclidean polyhedra. Zbl 1041.53029
Ballmann, Werner; Brin, Michael
2000
On the fundamental group of a manifold admitting a U-diffeomorphism. Zbl 0401.57003
Brin, M. I.
1978
Bernoulli diffeomorphisms with n-1 non-zero exponents. Zbl 0485.58011
Brin, M.
1981
On Morse-Smale endomorphisms. Zbl 0841.58036
Brin, M.; Pesin, Ya.
1996
D. V. Anosov and our road to partial hyperbolicity. Zbl 1385.37043
Brin, Michael; Pesin, Yakov
2017
Nonwandering points of U-diffeomorphisms. Zbl 0403.58014
Brin, M. I.
1977
On the spectrum of Anosov diffeomorphisms. Zbl 0456.58021
Brin, M.
1980
Modern dynamical systems and applications. Dedicated to Anatole Katok on his 60th birthday. Zbl 1051.00012
2004
Enveloping manifolds. Zbl 1077.37049
Brin, Michael; Ott, William; Yorke, James A.
2004
Harmonic measures on covers of compact surfaces on nonpositive curvature. Zbl 0792.58006
Brin, M.; Kifer, Y.
1993
D. V. Anosov and our road to partial hyperbolicity. Zbl 1385.37043
Brin, Michael; Pesin, Yakov
2017
Introduction to dynamical systems. Reprint of the 2002 hardback edition. Zbl 1319.37001
Brin, Michael; Stuck, Garrett
2015
Dynamical coherence of partially hyperbolic diffeomorphisms of the 3-torus. Zbl 1190.37026
Brin, Michael; Burago, Dmitri; Ivanov, Sergey
2009
On partially hyperbolic diffeomorphisms of 3-manifolds with commutative fundamental group. Zbl 1147.37321
Brin, M.; Burago, D.; Ivanov, S.
2004
Modern dynamical systems and applications. Dedicated to Anatole Katok on his 60th birthday. Zbl 1051.00012
2004
Enveloping manifolds. Zbl 1077.37049
Brin, Michael; Ott, William; Yorke, James A.
2004
On dynamical coherence. Zbl 1140.37317
Brin, Michael
2003
Introduction to dynamical systems. Zbl 1314.37002
Brin, Michael; Stuck, Garrett
2002
Lectures on Lyapunov exponents and smooth ergodic theory. (With two appendices by M. Brin, D. Dolgopyat, H. Hu and Ya. Pesin). Zbl 0996.37001
Barreira, L.; Pesin, Ya.
2001
Brownian motion, harmonic functions and hyperbolicity for Euclidean complexes. Zbl 0984.58022
Brin, Michael; Kifer, Yuri
2001
On stochastic behavior of perturbed Hamiltonian systems. Zbl 0997.37020
Brin, Michael; Freidlin, Mark
2000
Rank rigidity of Euclidean polyhedra. Zbl 1041.53029
Ballmann, Werner; Brin, Michael
2000
Diameter rigidity of spherical polyhedra. Zbl 0980.53045
Ballmann, Werner; Brin, Michael
1999
On Morse-Smale endomorphisms. Zbl 0841.58036
Brin, M.; Pesin, Ya.
1996
Orbihedra of nonpositive curvature. Zbl 0866.53029
Ballmann, Werner; Brin, Michael
1995
Polygonal complexes and combinatorial group theory. Zbl 0832.57002
Ballmann, W.; Brin, M.
1994
Harmonic measures on covers of compact surfaces on nonpositive curvature. Zbl 0792.58006
Brin, M.; Kifer, Y.
1993
On surfaces with no conjugate points. Zbl 0592.53041
Ballmann, W.; Brin, M.; Burns, K.
1987
On the differentiability of horocycles and horocycle foliations. Zbl 0609.53012
Ballmann, W.; Brin, M.; Burns, K.
1987
Dynamics of Markov chains and stable manifolds for random diffeomorphisms. Zbl 0656.58033
Brin, M.; Kifer, Yu.
1987
Structure of manifolds of nonpositive curvature. I. Zbl 0589.53047
Ballmann, Werner; Brin, Misha; Eberlein, Patrick
1985
Structure of manifolds of nonpositive curvature. II. Zbl 0598.53046
Ballmann, Werner; Brin, Misha; Spatzier, Ralf
1985
Frame flows on manifolds with pinched negative curvature. Zbl 0561.58039
Brin, M.; Karcher, H.
1984
On local entropy. Zbl 0533.58020
Brin, M.; Katok, A.
1983
On the ergodicity of geodesic flows. Zbl 0519.58036
Ballmann, W.; Brin, M.
1982
Ergodic theory of frame flows. Zbl 0511.58032
Brin, M.
1982
Bernoulli diffeomorphisms and group extensions of dynamical systems with non-zero characteristic exponents. Zbl 0477.58021
Brin, M. I.; Feldman, J.; Katok, A.
1981
Anosov diffeomorphisms with pinched spectrum. Zbl 0486.58023
Brin, M.; Manning, A.
1981
Bernoulli diffeomorphisms with n-1 non-zero exponents. Zbl 0485.58011
Brin, M.
1981
On the ergodicity of frame flows. Zbl 0445.58023
Brin, M.; Gromov, M.
1980
On the spectrum of Anosov diffeomorphisms. Zbl 0456.58021
Brin, M.
1980
Nonwandering points of Anosov diffeomorphisms. Zbl 0396.58021
Brin, M. I.
1978
On the fundamental group of a manifold admitting a U-diffeomorphism. Zbl 0401.57003
Brin, M. I.
1978
Nonwandering points of U-diffeomorphisms. Zbl 0403.58014
Brin, M. I.
1977
The topology of group extensions of C systems. Zbl 0332.58010
Brin, M. I.
1976
Topological transitivity of one class of dynamical systems and flows of frames on manifolds of negative curvature. Zbl 0357.58011
Brin, M. I.
1975
Partially hyperbolic dynamical systems. Zbl 0309.58017
Brin, M. I.; Pesin, Ya. B.
1975
Partially hyperbolic dynamical systems. Zbl 0304.58017
Brin, M. I.; Pesin, Ya. B.
1974
Partially hyperbolic dynamical systems. Zbl 0285.58010
Brin, M. I.; Pesin, Ya. B.
1973
On the inclusion of a diffeomorphism in a flow. Zbl 0251.58006
Brin, M. I.
1972
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### Cited by 732 Authors

 16 Freidlin, Mark I. 14 Hammerlindl, Andy 11 Potrie, Rafael 10 Schröder, Viktor M. H. 10 Ures, Raúl 9 Brin, Michael 9 Katok, Anatole B. 8 Vdovina, Alina A. 7 Burns, Keith 7 Chen, Ercai 7 Rodriguez-Hertz, Federico 7 Rodriguez Hertz, Jana 7 Yang, Jiagang 6 Climenhaga, Vaughn 6 Dolgopyat, Dmitry 6 Kifer, Yuri 6 Luzzatto, Stefano 6 Pesin, Yakov Borisovich 6 Tahzibi, Ali 6 Viana, Marcelo 6 Wilkinson, Amie 6 Wu, Weisheng 6 Zhu, Yujun 5 Ballmann, Hans Werner 5 Biś, Andrzej 5 Caprace, Pierre-Emmanuel 5 Fisher, Todd L. 5 Gogolev, Andrey 5 Kannan, V. 5 Knieper, Gerhard 5 Mbacke War, Khadim 5 Shepelyansky, Dima L. 5 Spatzier, Ralf J. 5 Türeli, Sina 5 Varão, Régis 5 Zhao, Yun 4 Ali Akbar, Kamaludheen 4 Barreira, Luis Manuel 4 Bonatti, Christian 4 Cao, Yongluo 4 de Thélin, Henry 4 Gerber, Marlies 4 Hasselblatt, Boris 4 Heber, Jens 4 Hu, Wenqing 4 Kangaslampi, Riikka 4 Ledrappier, François 4 Link, Gabriele 4 Micena, Fernando Pereira 4 Oprocha, Piotr 4 Ruggiero, Rafael Oswaldo 4 Sharma, Puneet 4 Thompson, Daniel J. 4 Valls Anglés, Cláudia 4 Xie, Xiangdong 3 Avila Cordeiro de Melo, Artur 3 Bochi, Jairo 3 Buyalo, Sergei V. 3 Carrasco, Pablo D. 3 Cerrai, Sandra 3 Connell, Chris 3 Damjanović, Danijela 3 Einsiedler, Manfred Leopold 3 Gan, Shaobo 3 Grines, Vyacheslav Zigmundovich 3 Haydn, Nicolai T. A. 3 Hirayama, Michihiro 3 Hu, Huyi 3 Huang, Wen 3 Kleiner, Bruce 3 Lafont, Jean-François 3 Lytchak, Alexander 3 Mesón, Alejandro M. 3 Mi, Zeya 3 Parasyuk, Igor O. 3 Pastur, Leonid Andreevich 3 Peyerimhoff, Norbert 3 Pochinka, Olga Vital’evna 3 Pollicott, Mark 3 Ponce, Gabriel 3 Raghav, Manish 3 Rivière, Gabriel 3 Rodrigues, Fagner B. 3 Saghin, Radu 3 Saloff-Coste, Laurent 3 Sibony, Nessim 3 Subramania Pillai, I. 3 Swenson, Eric L. 3 Thomas, Anne 3 Tien Cuong Dinh 3 Vericat, Fernando 3 Wang, Fang 3 Wang, Yunping 3 Wentzell, Alexander Dmitrievich 3 Woess, Wolfgang 3 Yang, Fan 3 Ye, Xiangdong 3 Zheng, Dongmei 2 Anderson, Michael T. 2 Araújo, Vítor ...and 632 more Authors
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### Cited in 183 Serials

 46 Ergodic Theory and Dynamical Systems 26 Discrete and Continuous Dynamical Systems 23 Israel Journal of Mathematics 22 Transactions of the American Mathematical Society 18 Communications in Mathematical Physics 16 Advances in Mathematics 14 Journal of Statistical Physics 14 Proceedings of the American Mathematical Society 13 Mathematische Zeitschrift 11 Inventiones Mathematicae 9 Journal of Mathematical Analysis and Applications 9 Topology and its Applications 9 Stochastics and Dynamics 8 Geometriae Dedicata 8 Dynamical Systems 7 Annales de l’Institut Fourier 7 Duke Mathematical Journal 7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 7 Journal of Dynamical and Control Systems 6 Publications Mathématiques 6 Journal of Differential Equations 6 Mathematische Annalen 6 Geometric and Functional Analysis. GAFA 6 Journal of Dynamics and Differential Equations 6 Geometry & Topology 6 Annals of Mathematics. Second Series 6 Regular and Chaotic Dynamics 6 Annales Henri Poincaré 6 Qualitative Theory of Dynamical Systems 6 Journal of Modern Dynamics 5 Mathematical Notes 5 Ukrainian Mathematical Journal 5 Theoretical Computer Science 5 Journal of the European Mathematical Society (JEMS) 5 Acta Mathematica Sinica. English Series 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Journal d’Analyse Mathématique 4 Journal of Mathematical Physics 4 Nonlinearity 4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 4 Commentarii Mathematici Helvetici 4 Compositio Mathematica 4 Physica D 4 Differential Geometry and its Applications 4 Indagationes Mathematicae. New Series 4 Applied General Topology 3 Chaos, Solitons and Fractals 3 Functional Analysis and its Applications 3 Journal of Functional Analysis 3 Michigan Mathematical Journal 3 Annals of Global Analysis and Geometry 3 International Journal of Mathematics 3 The Journal of Geometric Analysis 3 Bulletin of the American Mathematical Society. New Series 3 Boletim da Sociedade Brasileira de Matemática. Nova Série 3 Topology Proceedings 3 Taiwanese Journal of Mathematics 3 Advances in Geometry 3 Groups, Geometry, and Dynamics 3 Science China. Mathematics 2 Indian Journal of Pure & Applied Mathematics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Periodica Mathematica Hungarica 2 Physics Letters. A 2 Acta Mathematica 2 Archiv der Mathematik 2 Bulletin of the London Mathematical Society 2 Fundamenta Mathematicae 2 Fuzzy Sets and Systems 2 Memoirs of the American Mathematical Society 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Results in Mathematics 2 Acta Mathematica Hungarica 2 Bulletin of the Iranian Mathematical Society 2 Acta Mathematicae Applicatae Sinica. English Series 2 Revista Matemática Iberoamericana 2 Journal of the American Mathematical Society 2 International Journal of Algebra and Computation 2 Linear Algebra and its Applications 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Expositiones Mathematicae 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Experimental Mathematics 2 Calculus of Variations and Partial Differential Equations 2 Journal of Mathematical Sciences (New York) 2 St. Petersburg Mathematical Journal 2 Electronic Research Announcements of the American Mathematical Society 2 Documenta Mathematica 2 Mathematical Physics, Analysis and Geometry 2 Chaos 2 Differential Equations 2 Algebraic & Geometric Topology 2 Bulletin of the Brazilian Mathematical Society. New Series 2 SIAM Journal on Applied Dynamical Systems 2 Central European Journal of Mathematics 2 Journal of the Institute of Mathematics of Jussieu 2 Nonlinear Oscillations 2 The European Physical Journal B. Condensed Matter and Complex Systems 2 Journal of Topology ...and 83 more Serials
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### Cited in 49 Fields

 434 Dynamical systems and ergodic theory (37-XX) 119 Differential geometry (53-XX) 62 Measure and integration (28-XX) 52 Manifolds and cell complexes (57-XX) 50 Group theory and generalizations (20-XX) 42 Ordinary differential equations (34-XX) 42 General topology (54-XX) 42 Probability theory and stochastic processes (60-XX) 30 Partial differential equations (35-XX) 30 Global analysis, analysis on manifolds (58-XX) 28 Topological groups, Lie groups (22-XX) 19 Geometry (51-XX) 17 Operator theory (47-XX) 15 Several complex variables and analytic spaces (32-XX) 14 Quantum theory (81-XX) 12 Combinatorics (05-XX) 12 Computer science (68-XX) 11 Mechanics of particles and systems (70-XX) 11 Statistical mechanics, structure of matter (82-XX) 8 Functions of a complex variable (30-XX) 8 Convex and discrete geometry (52-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Functional analysis (46-XX) 6 Abstract harmonic analysis (43-XX) 5 Real functions (26-XX) 5 Potential theory (31-XX) 5 Difference and functional equations (39-XX) 5 Statistics (62-XX) 5 Numerical analysis (65-XX) 4 Number theory (11-XX) 4 Information and communication theory, circuits (94-XX) 3 Algebraic geometry (14-XX) 3 $$K$$-theory (19-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Systems theory; control (93-XX) 2 History and biography (01-XX) 2 Associative rings and algebras (16-XX) 2 Integral transforms, operational calculus (44-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Algebraic topology (55-XX) 2 Fluid mechanics (76-XX) 2 Optics, electromagnetic theory (78-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 Category theory; homological algebra (18-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Mechanics of deformable solids (74-XX) 1 Biology and other natural sciences (92-XX)

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