Edit Profile (opens in new tab) Brin, Michael Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 40 Publications have been cited 835 times in 631 Documents Cited by ▼ Year ▼ Introduction to dynamical systems. Zbl 1314.37002Brin, Michael; Stuck, Garrett 139 2002 On local entropy. Zbl 0533.58020Brin, M.; Katok, A. 82 1983 Lectures on Lyapunov exponents and smooth ergodic theory. (With two appendices by M. Brin, D. Dolgopyat, H. Hu and Ya. Pesin). Zbl 0996.37001Barreira, L.; Pesin, Ya. 61 2001 Partially hyperbolic dynamical systems. Zbl 0304.58017Brin, M. I.; Pesin, Ya. B. 60 1974 Topological transitivity of one class of dynamical systems and flows of frames on manifolds of negative curvature. Zbl 0357.58011Brin, M. I. 49 1975 Orbihedra of nonpositive curvature. Zbl 0866.53029Ballmann, Werner; Brin, Michael 48 1995 Structure of manifolds of nonpositive curvature. I. Zbl 0589.53047Ballmann, Werner; Brin, Misha; Eberlein, Patrick 47 1985 Partially hyperbolic dynamical systems. Zbl 0309.58017Brin, M. I.; Pesin, Ya. B. 43 1975 Dynamical coherence of partially hyperbolic diffeomorphisms of the 3-torus. Zbl 1190.37026Brin, Michael; Burago, Dmitri; Ivanov, Sergey 39 2009 Structure of manifolds of nonpositive curvature. II. Zbl 0598.53046Ballmann, Werner; Brin, Misha; Spatzier, Ralf 28 1985 On stochastic behavior of perturbed Hamiltonian systems. Zbl 0997.37020Brin, Michael; Freidlin, Mark 24 2000 Polygonal complexes and combinatorial group theory. Zbl 0832.57002Ballmann, W.; Brin, M. 21 1994 On the ergodicity of frame flows. Zbl 0445.58023Brin, M.; Gromov, M. 19 1980 On partially hyperbolic diffeomorphisms of 3-manifolds with commutative fundamental group. Zbl 1147.37321Brin, M.; Burago, D.; Ivanov, S. 19 2004 On dynamical coherence. Zbl 1140.37317Brin, Michael 18 2003 Introduction to dynamical systems. Reprint of the 2002 hardback edition. Zbl 1319.37001Brin, Michael; Stuck, Garrett 16 2015 On surfaces with no conjugate points. Zbl 0592.53041Ballmann, W.; Brin, M.; Burns, K. 15 1987 Bernoulli diffeomorphisms and group extensions of dynamical systems with non-zero characteristic exponents. Zbl 0477.58021Brin, M. I.; Feldman, J.; Katok, A. 12 1981 Frame flows on manifolds with pinched negative curvature. Zbl 0561.58039Brin, M.; Karcher, H. 10 1984 On the differentiability of horocycles and horocycle foliations. Zbl 0609.53012Ballmann, W.; Brin, M.; Burns, K. 8 1987 The topology of group extensions of C systems. Zbl 0332.58010Brin, M. I. 8 1976 Dynamics of Markov chains and stable manifolds for random diffeomorphisms. Zbl 0656.58033Brin, M.; Kifer, Yu. 8 1987 Brownian motion, harmonic functions and hyperbolicity for Euclidean complexes. Zbl 0984.58022Brin, Michael; Kifer, Yuri 7 2001 Partially hyperbolic dynamical systems. Zbl 0285.58010Brin, M. I.; Pesin, Ya. B. 6 1973 Diameter rigidity of spherical polyhedra. Zbl 0980.53045Ballmann, Werner; Brin, Michael 6 1999 On the ergodicity of geodesic flows. Zbl 0519.58036Ballmann, W.; Brin, M. 5 1982 Anosov diffeomorphisms with pinched spectrum. Zbl 0486.58023Brin, M.; Manning, A. 5 1981 Ergodic theory of frame flows. Zbl 0511.58032Brin, M. 4 1982 On the inclusion of a diffeomorphism in a flow. Zbl 0251.58006Brin, M. I. 4 1972 Nonwandering points of Anosov diffeomorphisms. Zbl 0396.58021Brin, M. I. 4 1978 Rank rigidity of Euclidean polyhedra. Zbl 1041.53029Ballmann, Werner; Brin, Michael 3 2000 On the fundamental group of a manifold admitting a U-diffeomorphism. Zbl 0401.57003Brin, M. I. 3 1978 Bernoulli diffeomorphisms with n-1 non-zero exponents. Zbl 0485.58011Brin, M. 3 1981 On Morse-Smale endomorphisms. Zbl 0841.58036Brin, M.; Pesin, Ya. 2 1996 D. V. Anosov and our road to partial hyperbolicity. Zbl 1385.37043Brin, Michael; Pesin, Yakov 2 2017 Nonwandering points of U-diffeomorphisms. Zbl 0403.58014Brin, M. I. 2 1977 On the spectrum of Anosov diffeomorphisms. Zbl 0456.58021Brin, M. 2 1980 Modern dynamical systems and applications. Dedicated to Anatole Katok on his 60th birthday. Zbl 1051.00012 1 2004 Enveloping manifolds. Zbl 1077.37049Brin, Michael; Ott, William; Yorke, James A. 1 2004 Harmonic measures on covers of compact surfaces on nonpositive curvature. Zbl 0792.58006Brin, M.; Kifer, Y. 1 1993 D. V. Anosov and our road to partial hyperbolicity. Zbl 1385.37043Brin, Michael; Pesin, Yakov 2 2017 Introduction to dynamical systems. Reprint of the 2002 hardback edition. Zbl 1319.37001Brin, Michael; Stuck, Garrett 16 2015 Dynamical coherence of partially hyperbolic diffeomorphisms of the 3-torus. Zbl 1190.37026Brin, Michael; Burago, Dmitri; Ivanov, Sergey 39 2009 On partially hyperbolic diffeomorphisms of 3-manifolds with commutative fundamental group. Zbl 1147.37321Brin, M.; Burago, D.; Ivanov, S. 19 2004 Modern dynamical systems and applications. Dedicated to Anatole Katok on his 60th birthday. Zbl 1051.00012 1 2004 Enveloping manifolds. Zbl 1077.37049Brin, Michael; Ott, William; Yorke, James A. 1 2004 On dynamical coherence. Zbl 1140.37317Brin, Michael 18 2003 Introduction to dynamical systems. Zbl 1314.37002Brin, Michael; Stuck, Garrett 139 2002 Lectures on Lyapunov exponents and smooth ergodic theory. (With two appendices by M. Brin, D. Dolgopyat, H. Hu and Ya. Pesin). Zbl 0996.37001Barreira, L.; Pesin, Ya. 61 2001 Brownian motion, harmonic functions and hyperbolicity for Euclidean complexes. Zbl 0984.58022Brin, Michael; Kifer, Yuri 7 2001 On stochastic behavior of perturbed Hamiltonian systems. Zbl 0997.37020Brin, Michael; Freidlin, Mark 24 2000 Rank rigidity of Euclidean polyhedra. Zbl 1041.53029Ballmann, Werner; Brin, Michael 3 2000 Diameter rigidity of spherical polyhedra. Zbl 0980.53045Ballmann, Werner; Brin, Michael 6 1999 On Morse-Smale endomorphisms. Zbl 0841.58036Brin, M.; Pesin, Ya. 2 1996 Orbihedra of nonpositive curvature. Zbl 0866.53029Ballmann, Werner; Brin, Michael 48 1995 Polygonal complexes and combinatorial group theory. Zbl 0832.57002Ballmann, W.; Brin, M. 21 1994 Harmonic measures on covers of compact surfaces on nonpositive curvature. Zbl 0792.58006Brin, M.; Kifer, Y. 1 1993 On surfaces with no conjugate points. Zbl 0592.53041Ballmann, W.; Brin, M.; Burns, K. 15 1987 On the differentiability of horocycles and horocycle foliations. Zbl 0609.53012Ballmann, W.; Brin, M.; Burns, K. 8 1987 Dynamics of Markov chains and stable manifolds for random diffeomorphisms. Zbl 0656.58033Brin, M.; Kifer, Yu. 8 1987 Structure of manifolds of nonpositive curvature. I. Zbl 0589.53047Ballmann, Werner; Brin, Misha; Eberlein, Patrick 47 1985 Structure of manifolds of nonpositive curvature. II. Zbl 0598.53046Ballmann, Werner; Brin, Misha; Spatzier, Ralf 28 1985 Frame flows on manifolds with pinched negative curvature. Zbl 0561.58039Brin, M.; Karcher, H. 10 1984 On local entropy. Zbl 0533.58020Brin, M.; Katok, A. 82 1983 On the ergodicity of geodesic flows. Zbl 0519.58036Ballmann, W.; Brin, M. 5 1982 Ergodic theory of frame flows. Zbl 0511.58032Brin, M. 4 1982 Bernoulli diffeomorphisms and group extensions of dynamical systems with non-zero characteristic exponents. Zbl 0477.58021Brin, M. I.; Feldman, J.; Katok, A. 12 1981 Anosov diffeomorphisms with pinched spectrum. Zbl 0486.58023Brin, M.; Manning, A. 5 1981 Bernoulli diffeomorphisms with n-1 non-zero exponents. Zbl 0485.58011Brin, M. 3 1981 On the ergodicity of frame flows. Zbl 0445.58023Brin, M.; Gromov, M. 19 1980 On the spectrum of Anosov diffeomorphisms. Zbl 0456.58021Brin, M. 2 1980 Nonwandering points of Anosov diffeomorphisms. Zbl 0396.58021Brin, M. I. 4 1978 On the fundamental group of a manifold admitting a U-diffeomorphism. Zbl 0401.57003Brin, M. I. 3 1978 Nonwandering points of U-diffeomorphisms. Zbl 0403.58014Brin, M. I. 2 1977 The topology of group extensions of C systems. Zbl 0332.58010Brin, M. I. 8 1976 Topological transitivity of one class of dynamical systems and flows of frames on manifolds of negative curvature. Zbl 0357.58011Brin, M. I. 49 1975 Partially hyperbolic dynamical systems. Zbl 0309.58017Brin, M. I.; Pesin, Ya. B. 43 1975 Partially hyperbolic dynamical systems. Zbl 0304.58017Brin, M. I.; Pesin, Ya. B. 60 1974 Partially hyperbolic dynamical systems. Zbl 0285.58010Brin, M. I.; Pesin, Ya. B. 6 1973 On the inclusion of a diffeomorphism in a flow. Zbl 0251.58006Brin, M. I. 4 1972 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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