Edit Profile (opens in new tab) Pesin, Yakov Borisovich Compute Distance To: Compute Author ID: pesin.yakov-b Published as: Pesin, Yakov; Pesin, Ya. B.; Pesin, Ja. B.; Pesin, Ya.; Pesin, Yakov B.; Pesin, Y.; Pesin, Ya B.; Pesin, Ya. V.; Pesin, Ya Further Spellings: Песин Яков Борисович External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 117 Publications since 1973, including 7 Books 9 Contributions as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 127 Co-Authors with 89 Joint Publications 2,746 Co-Co-Authors all top 5 Co-Authors 38 single-authored 10 Sinaĭ, Yakov Grigor’evich 9 Barreira, Luis Manuel 9 Brin, Michael 9 Climenhaga, Vaughn 7 Dolgopyat, Dmitry 7 Zhang, Ke 6 Afraimovich, Valentin S. 6 Hu, Huyi 6 Schmeling, Jorg 6 Senti, Samuel 6 Weiss, Howard 5 Bunimovich, Leonid Abramovich 5 Hasselblatt, Boris 4 Chen, Jianyu 4 Katok, Anatole 4 Zhao, Yun 3 Burns, Keith 2 de la Llave, Rafael 2 Gonchenko, Sergey V. 2 Gorodetskii, Anton Semenovich 2 Gurevich, B. M. 2 Ilyashenko, Yulij Sergeevich 2 Jiang, Miaohua 2 Katok, Svetlana R. 2 Lerman, Lev 2 Luzzatto, Stefano 2 Pollicott, Mark 2 Rodriguez-Hertz, Federico 2 Talitskaya, Anna 2 Tempel’man, Arkadĭ Aleksandrovich 2 Treshchev, Dmitriĭ Valer’evich 2 Turaev, Dmitry V. 2 Yakobson, M. V. 2 Zelerowicz, Agnieszka 1 Anashkin, Oleg V. 1 Anosov, Dmitriĭ Viktorovich 1 Balandin, Dmitriĭ Vladimirovich 1 Barinova, M. K. 1 Belykh, Vladimir Nikitich 1 Bezdenezhnykh, A. N. 1 Boldrighini, Carlo 1 Cao, Yongluo 1 Cellarosi, Francesco 1 Chebochko, N. G. 1 Chilina, E. E. 1 Cohen, Albert 1 Dani, Shrikrishna Gopalrao 1 Davydov, Alekseĭ Aleksandrovich 1 De Lellis, Camillo 1 Deligne, Pierre René 1 Dobrushin, Roland L’vovich 1 Fayad, Bassam R. 1 Forni, Giovanni 1 Galkin, Oleg Evgen’evich 1 Galkina, Svetlana Yur’evna 1 Glysin, S. D. 1 Grines, Vyacheslav Zigmundovich 1 Gubina, Elena V. 1 Gurevich, Elena Ya. 1 Hirayama, Michihiro 1 Holden, Helge 1 Illusie, Luc 1 Isaenkova, Natal’ya Viktorovna 1 Kang, Hunseok 1 Kashchenko, Sergeĭ Aleksandrovich 1 Kazakov, Alexey O. 1 Kesseböhmer, Marc 1 Khanin, Konstantin M. 1 Kohn, Robert Vita 1 Kombrink, Sabrina 1 Komech, S. A. 1 Kordyukov, Yuri A. 1 Kornfel’d, I. P. 1 Kozlov, Valeriĭ Vasil’evich 1 Kruglov, Evgeniĭ Valentinovich 1 Kruglov, Vladislav E. 1 Lando, Sergei K. 1 Latash, Mark L. 1 Lemańczyk, Mariusz 1 Levchenko, Yulia A. 1 Li, Dong 1 Maksymenko, Sergiĭ Ivanovych 1 Malkin, Mikhail Iosifovich 1 Malyshev, Dmitry S. 1 Mamaev, V. K. 1 Mamedova, T. F. 1 Maslova, Nina Borisovna 1 Medvedev, Timur V. 1 Medvedev, Vladislav Sergeevich 1 Meyer, Yves F. 1 Mints, D. I. 1 Mitryakova, T. M. 1 Morosov, A. D. 1 Morosov, A. I. 1 Morozov, Al’bert Dmitrievich 1 Nasar, Sylvia 1 Nash, John Forbes jun. 1 Neĭshtadt, Anatoliĭ Iserovich 1 Nirenberg, Louis 1 Niu, Xun ...and 47 more Co-Authors all top 5 Serials 11 Ergodic Theory and Dynamical Systems 7 Journal of Statistical Physics 6 Russian Mathematical Surveys 5 Communications in Mathematical Physics 5 Journal of Modern Dynamics 4 Uspekhi Matematicheskikh Nauk [N. S.] 4 Chaos 3 Nonlinearity 3 Functional Analysis and its Applications 3 Mathematics of the USSR. Izvestiya 3 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 2 Mathematical Notes 2 Matematicheskie Zametki 2 Soviet Scientific Reviews. Section C 2 Discrete and Continuous Dynamical Systems 2 Contemporary Mathematics 2 Proceedings of Symposia in Pure Mathematics 1 Israel Journal of Mathematics 1 Journal of Mathematical Biology 1 Journal of Geometry and Physics 1 Differentsial’nye Uravneniya 1 Differential Equations 1 Matematicheskiĭ Sbornik. Novaya Seriya 1 Soviet Mathematics. Doklady 1 Transactions of the American Mathematical Society 1 Selecta Mathematica Sovietica 1 Geometric and Functional Analysis. GAFA 1 Mathematics of the USSR, Sbornik 1 Bulletin of the American Mathematical Society. New Series 1 Notices of the American Mathematical Society 1 Random & Computational Dynamics 1 Mathematical Research Letters 1 Electronic Research Announcements of the American Mathematical Society 1 Annals of Mathematics. Second Series 1 Regular and Chaotic Dynamics 1 Journal of Dynamical and Control Systems 1 Annales Henri Poincaré 1 Dynamical Systems 1 Moscow Mathematical Journal 1 Stochastics and Dynamics 1 Milan Journal of Mathematics 1 Encyclopedia of Mathematics and Its Applications 1 Encyclopaedia of Mathematical Sciences 1 Graduate Studies in Mathematics 1 University Lecture Series 1 Student Mathematical Library 1 Journal of Physics A: Mathematical and Theoretical 1 Arnold Mathematical Journal 1 Nelineĭnaya Dinamika 1 Zurich Lectures in Advanced Mathematics 1 The Abel Prize 1 Translations. Series 2. American Mathematical Society all top 5 Fields 112 Dynamical systems and ergodic theory (37-XX) 22 Measure and integration (28-XX) 10 Differential geometry (53-XX) 9 General and overarching topics; collections (00-XX) 8 History and biography (01-XX) 7 Probability theory and stochastic processes (60-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Ordinary differential equations (34-XX) 5 Partial differential equations (35-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 General topology (54-XX) 4 Manifolds and cell complexes (57-XX) 2 Number theory (11-XX) 2 Fluid mechanics (76-XX) 2 Biology and other natural sciences (92-XX) 1 Topological groups, Lie groups (22-XX) 1 Algebraic topology (55-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 100 Publications have been cited 2,273 times in 1,536 Documents Cited by ▼ Year ▼ Characteristic Lyapunov exponents and smooth ergodic theory. Zbl 0383.58011Pesin, Ja. B. 380 1977 Nonuniform hyperbolicity. Dynamics of systems with nonzero Lyapunov exponents. Zbl 1144.37002Barreira, Luis; Pesin, Yakov 164 2007 Dimension theory in dynamical systems: contemporary views and applications. Zbl 0895.58033Pesin, Yakov B. 141 1998 Families of invariant manifolds corresponding to nonzero characteristic exponents. Zbl 0383.58012Pesin, Ja. B. 126 1978 Topological pressure and the variational principle for noncompact sets. Zbl 0567.54027Pesin, Ya. B.; Pitskel, B. S. 102 1984 Lectures on partial hyperbolicity and stable ergodicity. Zbl 1098.37024Pesin, Yakov 81 2004 Gibbs measures for partially hyperbolic attractors. Zbl 0519.58035Pesin, Ya. B.; Sinai, Ya. G. 69 1982 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 A multifractal analysis of equilibrium measures for conformal expanding maps and Moran-like geometric constructions. Zbl 0985.37040Pesin, Yakov; Weiss, Howard 59 1997 Dimension and product structure of hyperbolic measures. Zbl 0977.37011Barreira, Luis; Pesin, Yakov; Schmeling, Jörg 57 1999 The multifractal analysis of Gibbs measures: Motivation, mathematical foundation, and examples. Zbl 0933.37020Pesin, Yakov; Weiss, Howard 48 1997 Lyapunov exponents and smooth ergodic theory. Zbl 1195.37002Barreira, Luis; Pesin, Yakov B. 48 2001 On a general concept of multifractality: Multifractal spectra for dimensions, entropies, and Lyapunov exponents. Multifractal rigidity. Zbl 0933.37002Barreira, Luis; Pesin, Yakov; Schmeling, Jörg 46 1997 Partially hyperbolic dynamical systems. Zbl 0309.58017Brin, M. I.; Pesin, Ya. B. 43 1975 Dynamical systems with generalized hyperbolic attractors: Hyperbolic, ergodic and topological properties. Zbl 0774.58029Pesin, Ya. B. 43 1992 On rigorous mathematical definitions of correlation dimension and generalized spectrum for dimensions. Zbl 0916.28006Pesin, Ya. B. 33 1993 Partially hyperbolic dynamical systems. Zbl 1130.37355Hasselblatt, Boris; Pesin, Yakov 31 2006 Partial hyperbolicity, Lyapunov exponents and stable ergodicity. Zbl 1124.37308Burns, K.; Dolgopyat, D.; Pesin, Ya. 31 2002 Geodesic flows on closed Riemannian manifolds without focal points. Zbl 0399.58010Pesin, Ja. B. 29 1977 On the dimension of deterministic and random Cantor-like sets, symbolic dynamics, and the Eckmann-Ruelle conjecture. Zbl 0878.28006Pesin, Yakov; Weiss, Howard 25 1996 Introduction to smooth ergodic theory. Zbl 1336.37001Barreira, Luis; Pesin, Yakov 23 2013 Equilibrium measures for coupled map lattices: Existence, uniqueness and finite-dimensional approximations. Zbl 0944.37005Jiang, Miaohua; Pesin, Yakov B. 23 1998 Equilibrium measures for maps with inducing schemes. Zbl 1159.37007Pesin, Yakov; Senti, Samuel 22 2008 Every compact manifold carries a completely hyperbolic diffeomorphism. Zbl 1046.37015Dolgopyat, Dmitry; Pesin, Yakov 21 2002 Stable ergodicity for partially hyperbolic attractors with negative central exponents. Zbl 1145.37021Burns, Keith; Dolgopyat, Dmitry; Pesin, Yakov; Pollicott, Mark 20 2008 The multifractal analysis of Birkhoff averages and large deviations. Zbl 0996.37021Pesin, Yakov; Weiss, Howard 20 2001 Smooth ergodic theory and nonuniformly hyperbolic dynamics. (With an appendix by Omri Sarig). Zbl 1130.37351Barreira, Luis; Pesin, Yakov 19 2006 Multifractal analysis of conformal Axiom A flows. Zbl 0992.37023Pesin, Ya. B.; Sadovskaya, V. 18 2001 Dimension type characteristics for invariant sets of dynamical systems. Zbl 0684.58024Pesin, Ya. B. 17 1988 Space-time chaos in chains of weakly interacting hyperbolic mappings. Zbl 0850.70250Pesin, Ya. B.; Sinaĭ, Ya. G. 15 1991 Dimension of non-conformal repellers: a survey. Zbl 1201.37026Chen, Jianyu; Pesin, Yakov 15 2010 Ljapunov characteristic exponents and ergodic properties of smooth dynamical systems with an invariant measure. Zbl 0345.58010Pesin, Ja. B. 15 1976 Thermodynamics of towers of hyperbolic type. Zbl 1366.37080Pesin, Y.; Senti, S.; Zhang, K. 15 2016 Every compact manifold carries a hyperbolic Bernoulli flow. Zbl 1147.37316Hu, Huyi; Pesin, Yakov; Talitskaya, Anna 14 2004 Equations for the entropy of a geodesic flow on a compact Riemannian manifold without conjugate points. Zbl 0411.58016Pesin, Ya. B. 13 1979 Non-absolutely continuous foliations. Zbl 1137.37014Hirayama, Michihiro; Pesin, Yakov 13 2007 Travelling waves in lattice models of multi-dimensional and multi- component media. I: General hyperbolic properties. Zbl 0773.76006Afrajmovich, V.; Pesin, Ya 12 1993 Non-stationary non-uniform hyperbolicity: SRB measures for dissipative maps. Zbl 1380.37068Climenhaga, Vaughn; Dolgopyat, Dmitry; Pesin, Yakov 12 2016 Open problems in the theory of non-uniform hyperbolicity. Zbl 1200.37001Pesin, Yakov; Climenhaga, Vaughn 11 2010 Thermodynamics of the Katok map. Zbl 1412.37043Pesin, Y.; Senti, S.; Zhang, K. 10 2019 Thermodynamical formalism associated with inducing schemes for one-dimensional maps. Zbl 1109.37028Pesin, Yakov; Senti, Samuel 10 2005 Some physical models described by the reaction-diffusion equation, and coupled map lattices. Zbl 1160.37423Pesin, Ya. B.; Yurchenko, A. A. 10 2004 Lifting measures to inducing schemes. Zbl 1154.37302Pesin, Ya. B.; Senti, S.; Zhang, K. 10 2008 On the pointwise dimension of hyperbolic measures: a proof of the Eckmann-Ruelle conjecture. Zbl 0871.58054Barreira, Luis; Pesin, Yakov; Schmeling, Jörg 9 1996 Correlation dimension of measures invariant under group actions. Zbl 0833.60008Pesin, Ya.; Tempelman, A. 9 1995 Building thermodynamics for non-uniformly hyperbolic maps. Zbl 1380.37063Climenhaga, Vaughn; Pesin, Yakov 9 2017 Equilibrium states in dynamical systems via geometric measure theory. Zbl 1430.37036Climenhaga, Vaughn; Pesin, Yakov; Zelerowicz, Agnieszka 9 2019 Dimension estimates for non-conformal repellers and continuity of sub-additive topological pressure. Zbl 1427.37018Cao, Yongluo; Pesin, Yakov; Zhao, Yun 9 2019 Existence and genericity problems for dynamical systems with nonzero Lyapunov exponents. Zbl 1229.37021Pesin, Ya. 8 2007 Multifractal spectra and multifractal rigidity for horseshoes. Zbl 0949.37017Barreira, L.; Pesin, Ya.; Schmeling, J. 8 1997 Dynamical systems, ergodic theory and applications. Edited by Ya. G. Sinai. Transl. from the Russian. 2nd, expanded and rev. ed. Zbl 1100.00500Bunimovich, L. A.; Dani, S. G.; Dobrushin, R. L.; Jakobson, M. V.; Kornfeld, I. P.; Maslova, N. B.; Pesin, Ya. B.; Sinai, Ya. G.; Smillie, J.; Sukhov, Yu. M.; Vershik, A. M. 8 2000 Path connectedness and entropy density of the space of hyperbolic ergodic measures. Zbl 1385.37042Gorodetski, Anton; Pesin, Yakov 8 2017 Phase transitions for uniformly expanding maps. Zbl 1101.37021Pesin, Yakov; Zhang, Ke 7 2006 Dynamics of a discrete Brusselator model: escape to infinity and Julia set. Zbl 1115.37071Kang, Hunseok; Pesin, Yakov 7 2005 Lectures on fractal geometry and dynamical systems. Zbl 1186.37003Pesin, Yakov; Climenhaga, Vaughn 7 2009 Scaled entropy for dynamical systems. Zbl 1360.37048Zhao, Yun; Pesin, Yakov 7 2015 On the dimension of deterministic and random Cantor-like sets. Zbl 0834.28004Pesin, Yakov; Weiss, Howard 7 1994 Partially hyperbolic dynamical systems. Zbl 0285.58010Brin, M. I.; Pesin, Ya. B. 6 1973 An analytical approach to the problem of inverse optimization with additive objective functions: An application to human prehension. Zbl 1205.92049Terekhov, Alexander V.; Pesin, Yakov B.; Niu, Xun; Latash, Mark L.; Zatsiorsky, Vladimir M. 6 2010 Traveling waves in lattice models of multidimensional and multicomponent media. II: Ergodic properties and dimension. Zbl 1055.37584Afraĭmovich, V. S.; Pesin, Ya. B.; Tempelman, A. A. 6 1993 Equilibrium measures for some partially hyperbolic systems. Zbl 1471.37037Climenhaga, Vaughn; Pesin, Yakov; Zelerowicz, Agnieszka 6 2020 Dimension of Lorenz type attractors. Zbl 0628.58031Afrajmovich, V. S.; Pesin, Ya. B. 5 1987 A volume preserving diffeomorphism with essential coexistence of zero and nonzero Lyapunov exponents. Zbl 1281.37017Hu, Huyi; Pesin, Yakov; Talitskaya, Anna 5 2013 Hadamard-Perron theorems and effective hyperbolicity. Zbl 1364.37066Climenhaga, Vaughn; Pesin, Yakov 5 2016 The essential coexistence phenomenon in dynamics. Zbl 1287.37007Chen, Jianyu; Hu, Huyi; Pesin, Yakov 5 2013 Description of \(\pi\)-partition of a diffeomorphism with invariant measure. Zbl 0423.58013Pesin, Ya. B. 5 1978 Space-time chaos in the system of weakly interacting hyperbolic systems. Zbl 0727.58031Pesin, Ya. B.; Sinai, Ya. G. 4 1988 Hyperbolicity and stochasticity of dynamical systems. Zbl 0561.58038Pesin, Ya. B.; Sinaj, Ya. G. 4 1981 Ergodic theory of smooth dynamical systems. Zbl 0781.58018Sinai, Ya. G.; Pesin, Ya. B.; Bunimovich, L. A.; Yakobson, M. V. 4 1985 On the work of Sarig on countable Markov chains and thermodynamic formalism. Zbl 1351.37150Pesin, Yakov 4 2014 On the existence of invariant fiberings for a diffeomorphism of a smooth manifold. Zbl 0286.57017Pesin, Ja. B. 4 1974 On the integrability of intermediate distributions for Anosov diffeomorphisms. Zbl 0824.58037Jiang, M.; Pesin, Ya B.; de la Llave, R. 4 1995 Geodesic flows with hyperbolic behaviour of the trajectories and objects connected with them. Zbl 0493.58001Pesin, Ya. B. 4 1981 The geometric approach for constructing Sinai-Ruelle-Bowen measures. Zbl 1364.37074Climenhaga, Vaughn; Luzzatto, Stefano; Pesin, Yakov 4 2017 On the notion of the dimension with respect to a dynamical system. Zbl 0616.58038Pesin, Ya. B. 3 1984 Thermodynamics of inducing schemes and liftability of measures. Zbl 1139.37016Pesin, Yakov; Zhang, Ke 3 2007 Geometric and probabilistic structures in dynamics. Workshop on dynamical systems and related topics in honor of Michael Brin on the occasion of his 60th birthday, College Park, MD, USA, March 15–18, 2008. Zbl 1147.37002 3 2008 Geodesic flows with hyperbolic behavior of the trajectories and objects connected with them. Zbl 0482.58002Pesin, Ya. B. 3 1981 Lösungsverhalten einer stark nichtlinearen Differentialgleichung mit retardiertem Argument. Zbl 0305.34103Pesin, Ja. B. 2 1974 Example of a nonergodic flow with nonzero characteristic numbers. Zbl 0305.58012Pesin, Ja. B. 2 1974 Chaos in traveling waves of lattice systems of unbounded media. Zbl 0979.37041Orendovici, D. R.; Pesin, Ya. B. 2 2000 Ergodic properties and dimensionlike characteristics of strange attractors that are close to hyperbolic. Zbl 0698.58035Pesin, Ya. 2 1987 A volume preserving flow with essential coexistence of zero and non-zero Lyapunov exponents. Zbl 1286.37037Chen, Jianyu; Hu, Huyi; Pesin, Yakov 2 2013 Pointwise hyperbolicity implies uniform hyperbolicity. Zbl 1358.37062Hasselblatt, Boris; Pesin, Yakov; Schmeling, Jörg 2 2014 On the work of Dolgopyat on partial and nonuniform hyperbolicity. Zbl 1202.37029Pesin, Yakov 2 2010 Smooth ergodic theory and its applications. Proceedings of the AMS summer research institute, Seattle, WA, USA, July 26–August 13, 1999. Zbl 0973.00044 2 2001 On Morse-Smale endomorphisms. Zbl 0841.58036Brin, M.; Pesin, Ya. 2 1996 Eine Beschreibung der \(\pi\)-Zerlegung eines Diffeomorphismus mit invariantem Maß. Zbl 0357.58009Pesin, Ja. B. 2 1977 D. V. Anosov and our road to partial hyperbolicity. Zbl 1385.37043Brin, Michael; Pesin, Yakov 2 2017 Modern theory of dynamical systems. A tribute to Dmitry Victorovich Anosov. Zbl 1370.37002 2 2017 Behavior of solutions of a strongly nonlinear differential equation with delay argument. Zbl 0316.34085Pesin, Ja. B. 1 1975 Modern dynamical systems and applications. Dedicated to Anatole Katok on his 60th birthday. Zbl 1051.00012 1 2004 \(q\)-entropy for symbolic dynamical systems. Zbl 1417.37083Zhao, Yun; Pesin, Yakov 1 2015 Erratum to: “Scaled entropy for dynamical systems”. Zbl 1382.37014Zhao, Yun; Pesin, Yakov 1 2016 Generalized spectrum for the dimension: The approach based on Carathéodory’s construction. Zbl 0752.58017Pesin, Ya. B. 1 1991 Hyperbolicity of infinite-dimensional drift systems. Zbl 0765.58024Afrajmovich, V. S.; Pesin, Ya. B. 1 1990 Sinai’s Moscow seminar on dynamical systems. Zbl 0831.00008 1 1996 Ljapunovsche charakteristische Exponenten und die glatte Ergodentheorie. Zbl 0359.58010Pesin, Ja. B. 1 1977 Familien invarianter Mannigfaltigkeiten, die nicht-verschwindenden charakteristischen Exponenten entsprechen. Zbl 0372.58009Pesin, Ja. B. 1 1976 Equilibrium measures for some partially hyperbolic systems. Zbl 1471.37037Climenhaga, Vaughn; Pesin, Yakov; Zelerowicz, Agnieszka 6 2020 Thermodynamics of the Katok map. Zbl 1412.37043Pesin, Y.; Senti, S.; Zhang, K. 10 2019 Equilibrium states in dynamical systems via geometric measure theory. Zbl 1430.37036Climenhaga, Vaughn; Pesin, Yakov; Zelerowicz, Agnieszka 9 2019 Dimension estimates for non-conformal repellers and continuity of sub-additive topological pressure. Zbl 1427.37018Cao, Yongluo; Pesin, Yakov; Zhao, Yun 9 2019 Building thermodynamics for non-uniformly hyperbolic maps. Zbl 1380.37063Climenhaga, Vaughn; Pesin, Yakov 9 2017 Path connectedness and entropy density of the space of hyperbolic ergodic measures. Zbl 1385.37042Gorodetski, Anton; Pesin, Yakov 8 2017 The geometric approach for constructing Sinai-Ruelle-Bowen measures. Zbl 1364.37074Climenhaga, Vaughn; Luzzatto, Stefano; Pesin, Yakov 4 2017 D. V. Anosov and our road to partial hyperbolicity. Zbl 1385.37043Brin, Michael; Pesin, Yakov 2 2017 Modern theory of dynamical systems. A tribute to Dmitry Victorovich Anosov. Zbl 1370.37002 2 2017 Thermodynamics of towers of hyperbolic type. Zbl 1366.37080Pesin, Y.; Senti, S.; Zhang, K. 15 2016 Non-stationary non-uniform hyperbolicity: SRB measures for dissipative maps. Zbl 1380.37068Climenhaga, Vaughn; Dolgopyat, Dmitry; Pesin, Yakov 12 2016 Hadamard-Perron theorems and effective hyperbolicity. Zbl 1364.37066Climenhaga, Vaughn; Pesin, Yakov 5 2016 Erratum to: “Scaled entropy for dynamical systems”. Zbl 1382.37014Zhao, Yun; Pesin, Yakov 1 2016 Scaled entropy for dynamical systems. Zbl 1360.37048Zhao, Yun; Pesin, Yakov 7 2015 \(q\)-entropy for symbolic dynamical systems. Zbl 1417.37083Zhao, Yun; Pesin, Yakov 1 2015 On the work of Sarig on countable Markov chains and thermodynamic formalism. Zbl 1351.37150Pesin, Yakov 4 2014 Pointwise hyperbolicity implies uniform hyperbolicity. Zbl 1358.37062Hasselblatt, Boris; Pesin, Yakov; Schmeling, Jörg 2 2014 Introduction to smooth ergodic theory. Zbl 1336.37001Barreira, Luis; Pesin, Yakov 23 2013 A volume preserving diffeomorphism with essential coexistence of zero and nonzero Lyapunov exponents. Zbl 1281.37017Hu, Huyi; Pesin, Yakov; Talitskaya, Anna 5 2013 The essential coexistence phenomenon in dynamics. Zbl 1287.37007Chen, Jianyu; Hu, Huyi; Pesin, Yakov 5 2013 A volume preserving flow with essential coexistence of zero and non-zero Lyapunov exponents. Zbl 1286.37037Chen, Jianyu; Hu, Huyi; Pesin, Yakov 2 2013 Dimension of non-conformal repellers: a survey. Zbl 1201.37026Chen, Jianyu; Pesin, Yakov 15 2010 Open problems in the theory of non-uniform hyperbolicity. Zbl 1200.37001Pesin, Yakov; Climenhaga, Vaughn 11 2010 An analytical approach to the problem of inverse optimization with additive objective functions: An application to human prehension. Zbl 1205.92049Terekhov, Alexander V.; Pesin, Yakov B.; Niu, Xun; Latash, Mark L.; Zatsiorsky, Vladimir M. 6 2010 On the work of Dolgopyat on partial and nonuniform hyperbolicity. Zbl 1202.37029Pesin, Yakov 2 2010 Lectures on fractal geometry and dynamical systems. Zbl 1186.37003Pesin, Yakov; Climenhaga, Vaughn 7 2009 Equilibrium measures for maps with inducing schemes. Zbl 1159.37007Pesin, Yakov; Senti, Samuel 22 2008 Stable ergodicity for partially hyperbolic attractors with negative central exponents. Zbl 1145.37021Burns, Keith; Dolgopyat, Dmitry; Pesin, Yakov; Pollicott, Mark 20 2008 Lifting measures to inducing schemes. Zbl 1154.37302Pesin, Ya. B.; Senti, S.; Zhang, K. 10 2008 Geometric and probabilistic structures in dynamics. Workshop on dynamical systems and related topics in honor of Michael Brin on the occasion of his 60th birthday, College Park, MD, USA, March 15–18, 2008. Zbl 1147.37002 3 2008 Nonuniform hyperbolicity. Dynamics of systems with nonzero Lyapunov exponents. Zbl 1144.37002Barreira, Luis; Pesin, Yakov 164 2007 Non-absolutely continuous foliations. Zbl 1137.37014Hirayama, Michihiro; Pesin, Yakov 13 2007 Existence and genericity problems for dynamical systems with nonzero Lyapunov exponents. Zbl 1229.37021Pesin, Ya. 8 2007 Thermodynamics of inducing schemes and liftability of measures. Zbl 1139.37016Pesin, Yakov; Zhang, Ke 3 2007 Partially hyperbolic dynamical systems. Zbl 1130.37355Hasselblatt, Boris; Pesin, Yakov 31 2006 Smooth ergodic theory and nonuniformly hyperbolic dynamics. (With an appendix by Omri Sarig). Zbl 1130.37351Barreira, Luis; Pesin, Yakov 19 2006 Phase transitions for uniformly expanding maps. Zbl 1101.37021Pesin, Yakov; Zhang, Ke 7 2006 Thermodynamical formalism associated with inducing schemes for one-dimensional maps. Zbl 1109.37028Pesin, Yakov; Senti, Samuel 10 2005 Dynamics of a discrete Brusselator model: escape to infinity and Julia set. Zbl 1115.37071Kang, Hunseok; Pesin, Yakov 7 2005 Lectures on partial hyperbolicity and stable ergodicity. Zbl 1098.37024Pesin, Yakov 81 2004 Every compact manifold carries a hyperbolic Bernoulli flow. Zbl 1147.37316Hu, Huyi; Pesin, Yakov; Talitskaya, Anna 14 2004 Some physical models described by the reaction-diffusion equation, and coupled map lattices. Zbl 1160.37423Pesin, Ya. B.; Yurchenko, A. A. 10 2004 Modern dynamical systems and applications. Dedicated to Anatole Katok on his 60th birthday. Zbl 1051.00012 1 2004 Partial hyperbolicity, Lyapunov exponents and stable ergodicity. Zbl 1124.37308Burns, K.; Dolgopyat, D.; Pesin, Ya. 31 2002 Every compact manifold carries a completely hyperbolic diffeomorphism. Zbl 1046.37015Dolgopyat, Dmitry; Pesin, Yakov 21 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 Lyapunov exponents and smooth ergodic theory. Zbl 1195.37002Barreira, Luis; Pesin, Yakov B. 48 2001 The multifractal analysis of Birkhoff averages and large deviations. Zbl 0996.37021Pesin, Yakov; Weiss, Howard 20 2001 Multifractal analysis of conformal Axiom A flows. Zbl 0992.37023Pesin, Ya. B.; Sadovskaya, V. 18 2001 Smooth ergodic theory and its applications. Proceedings of the AMS summer research institute, Seattle, WA, USA, July 26–August 13, 1999. Zbl 0973.00044 2 2001 Dynamical systems, ergodic theory and applications. Edited by Ya. G. Sinai. Transl. from the Russian. 2nd, expanded and rev. ed. Zbl 1100.00500Bunimovich, L. A.; Dani, S. G.; Dobrushin, R. L.; Jakobson, M. V.; Kornfeld, I. P.; Maslova, N. B.; Pesin, Ya. B.; Sinai, Ya. G.; Smillie, J.; Sukhov, Yu. M.; Vershik, A. M. 8 2000 Chaos in traveling waves of lattice systems of unbounded media. Zbl 0979.37041Orendovici, D. R.; Pesin, Ya. B. 2 2000 Dimension and product structure of hyperbolic measures. Zbl 0977.37011Barreira, Luis; Pesin, Yakov; Schmeling, Jörg 57 1999 Dimension theory in dynamical systems: contemporary views and applications. Zbl 0895.58033Pesin, Yakov B. 141 1998 Equilibrium measures for coupled map lattices: Existence, uniqueness and finite-dimensional approximations. Zbl 0944.37005Jiang, Miaohua; Pesin, Yakov B. 23 1998 A multifractal analysis of equilibrium measures for conformal expanding maps and Moran-like geometric constructions. Zbl 0985.37040Pesin, Yakov; Weiss, Howard 59 1997 The multifractal analysis of Gibbs measures: Motivation, mathematical foundation, and examples. Zbl 0933.37020Pesin, Yakov; Weiss, Howard 48 1997 On a general concept of multifractality: Multifractal spectra for dimensions, entropies, and Lyapunov exponents. Multifractal rigidity. Zbl 0933.37002Barreira, Luis; Pesin, Yakov; Schmeling, Jörg 46 1997 Multifractal spectra and multifractal rigidity for horseshoes. Zbl 0949.37017Barreira, L.; Pesin, Ya.; Schmeling, J. 8 1997 On the dimension of deterministic and random Cantor-like sets, symbolic dynamics, and the Eckmann-Ruelle conjecture. Zbl 0878.28006Pesin, Yakov; Weiss, Howard 25 1996 On the pointwise dimension of hyperbolic measures: a proof of the Eckmann-Ruelle conjecture. Zbl 0871.58054Barreira, Luis; Pesin, Yakov; Schmeling, Jörg 9 1996 On Morse-Smale endomorphisms. Zbl 0841.58036Brin, M.; Pesin, Ya. 2 1996 Sinai’s Moscow seminar on dynamical systems. Zbl 0831.00008 1 1996 Correlation dimension of measures invariant under group actions. Zbl 0833.60008Pesin, Ya.; Tempelman, A. 9 1995 On the integrability of intermediate distributions for Anosov diffeomorphisms. Zbl 0824.58037Jiang, M.; Pesin, Ya B.; de la Llave, R. 4 1995 On the dimension of deterministic and random Cantor-like sets. Zbl 0834.28004Pesin, Yakov; Weiss, Howard 7 1994 On rigorous mathematical definitions of correlation dimension and generalized spectrum for dimensions. Zbl 0916.28006Pesin, Ya. B. 33 1993 Travelling waves in lattice models of multi-dimensional and multi- component media. I: General hyperbolic properties. Zbl 0773.76006Afrajmovich, V.; Pesin, Ya 12 1993 Traveling waves in lattice models of multidimensional and multicomponent media. II: Ergodic properties and dimension. Zbl 1055.37584Afraĭmovich, V. S.; Pesin, Ya. B.; Tempelman, A. A. 6 1993 Dynamical systems with generalized hyperbolic attractors: Hyperbolic, ergodic and topological properties. Zbl 0774.58029Pesin, Ya. B. 43 1992 Space-time chaos in chains of weakly interacting hyperbolic mappings. Zbl 0850.70250Pesin, Ya. B.; Sinaĭ, Ya. G. 15 1991 Generalized spectrum for the dimension: The approach based on Carathéodory’s construction. Zbl 0752.58017Pesin, Ya. B. 1 1991 Hyperbolicity of infinite-dimensional drift systems. Zbl 0765.58024Afrajmovich, V. S.; Pesin, Ya. B. 1 1990 Dimension type characteristics for invariant sets of dynamical systems. Zbl 0684.58024Pesin, Ya. B. 17 1988 Space-time chaos in the system of weakly interacting hyperbolic systems. Zbl 0727.58031Pesin, Ya. B.; Sinai, Ya. G. 4 1988 Dimension of Lorenz type attractors. Zbl 0628.58031Afrajmovich, V. S.; Pesin, Ya. B. 5 1987 Ergodic properties and dimensionlike characteristics of strange attractors that are close to hyperbolic. Zbl 0698.58035Pesin, Ya. 2 1987 Ergodic theory of smooth dynamical systems. Zbl 0781.58018Sinai, Ya. G.; Pesin, Ya. B.; Bunimovich, L. A.; Yakobson, M. V. 4 1985 Topological pressure and the variational principle for noncompact sets. Zbl 0567.54027Pesin, Ya. B.; Pitskel, B. S. 102 1984 On the notion of the dimension with respect to a dynamical system. Zbl 0616.58038Pesin, Ya. B. 3 1984 Gibbs measures for partially hyperbolic attractors. Zbl 0519.58035Pesin, Ya. B.; Sinai, Ya. G. 69 1982 Hyperbolicity and stochasticity of dynamical systems. Zbl 0561.58038Pesin, Ya. B.; Sinaj, Ya. G. 4 1981 Geodesic flows with hyperbolic behaviour of the trajectories and objects connected with them. Zbl 0493.58001Pesin, Ya. B. 4 1981 Geodesic flows with hyperbolic behavior of the trajectories and objects connected with them. Zbl 0482.58002Pesin, Ya. B. 3 1981 Equations for the entropy of a geodesic flow on a compact Riemannian manifold without conjugate points. Zbl 0411.58016Pesin, Ya. B. 13 1979 Families of invariant manifolds corresponding to nonzero characteristic exponents. Zbl 0383.58012Pesin, Ja. B. 126 1978 Description of \(\pi\)-partition of a diffeomorphism with invariant measure. Zbl 0423.58013Pesin, Ya. B. 5 1978 Characteristic Lyapunov exponents and smooth ergodic theory. Zbl 0383.58011Pesin, Ja. B. 380 1977 Geodesic flows on closed Riemannian manifolds without focal points. Zbl 0399.58010Pesin, Ja. B. 29 1977 Eine Beschreibung der \(\pi\)-Zerlegung eines Diffeomorphismus mit invariantem Maß. Zbl 0357.58009Pesin, Ja. B. 2 1977 Ljapunovsche charakteristische Exponenten und die glatte Ergodentheorie. Zbl 0359.58010Pesin, Ja. B. 1 1977 Ljapunov characteristic exponents and ergodic properties of smooth dynamical systems with an invariant measure. Zbl 0345.58010Pesin, Ja. B. 15 1976 Familien invarianter Mannigfaltigkeiten, die nicht-verschwindenden charakteristischen Exponenten entsprechen. Zbl 0372.58009Pesin, Ja. B. 1 1976 Partially hyperbolic dynamical systems. Zbl 0309.58017Brin, M. I.; Pesin, Ya. B. 43 1975 Behavior of solutions of a strongly nonlinear differential equation with delay argument. Zbl 0316.34085Pesin, Ja. B. 1 1975 Partially hyperbolic dynamical systems. Zbl 0304.58017Brin, M. I.; Pesin, Ya. B. 60 1974 On the existence of invariant fiberings for a diffeomorphism of a smooth manifold. Zbl 0286.57017Pesin, Ja. B. 4 1974 Lösungsverhalten einer stark nichtlinearen Differentialgleichung mit retardiertem Argument. Zbl 0305.34103Pesin, Ja. B. 2 1974 Example of a nonergodic flow with nonzero characteristic numbers. Zbl 0305.58012Pesin, Ja. B. 2 1974 Partially hyperbolic dynamical systems. Zbl 0285.58010Brin, M. I.; Pesin, Ya. B. 6 1973 all cited Publications top 5 cited Publications all top 5 Cited by 1,385 Authors 110 Barreira, Luis Manuel 88 Valls Anglés, Cláudia 35 Pesin, Yakov Borisovich 32 Dragičević, Davor 23 Young, Lai-Sang 21 de la Llave, Rafael 20 Cao, Yongluo 20 Gelfert, Katrin Grit 19 Zhao, Yun 17 Hu, Huyi 16 Araújo, Vítor 16 Chen, Ercai 15 Viana, Marcelo 14 Katok, Anatole 14 Mesón, Alejandro M. 14 Varandas, Paulo 14 Vericat, Fernando 13 Climenhaga, Vaughn 12 Li, Zhiming 12 Pollicott, Mark 12 Yang, Jiagang 11 Luzzatto, Stefano 11 Ma, Dongkui 11 Przytycki, Feliks 11 Rodriguez-Hertz, Federico 11 Tahzibi, Ali 11 Zhu, Yujun 10 Backes, Lucas H. 10 Kalinin, Boris 10 Ledrappier, François 10 Rams, Michał 10 Rodriguez Hertz, Jana 10 Tian, Xueting 9 Bochi, Jairo 9 Brin, Michael 9 Feng, De-Jun 9 Iommi, Godofredo 9 Schmeling, Jorg 9 Silva, César M. 9 Ures, Raúl 9 Wu, Weisheng 8 Avila Cordeiro de Melo, Artur 8 Blumenthal, Alex 8 Czornik, Adam 8 Díaz, Lorenzo Justiniano 8 Dolgopyat, Dmitry 8 Huang, Wen 8 Li, Jinjun 8 Lu, Kening 8 Pacifico, Maria José 8 Pochinka, Olga Vital’evna 8 Seuret, Stéphane 8 Sun, Wenxiang 8 Urbański, Mariusz 8 Wilkinson, Amie 8 Wolf, Christian K. 7 Alves, José Ferreira 7 Bunimovich, Leonid Abramovich 7 Burns, Keith 7 Chernov, Nikolai Ivanovich 7 Crovisier, Sylvain 7 Fisher, Todd L. 7 Lian, Zeng 7 Liang, Chao 7 Ruggiero, Rafael Oswaldo 7 Sadovskaya, Victoria 7 Saussol, Benoît 7 Todd, Mike 7 Vaienti, Sandro 7 Wojtkowski, Maciej P. 7 Yang, Dawei 7 Zhang, Weinian 7 Zhou, Yunhua 6 Barral, Julien 6 Carrasco, Pablo D. 6 Del Magno, Gianluigi 6 Dupont, Christophe 6 Fan, Meng 6 Gogolev, Andrey 6 Gorodetskii, Anton Semenovich 6 Hammerlindl, Andy 6 Hasselblatt, Boris 6 Kifer, Yuri 6 Liao, Gang 6 Liao, Lingmin 6 Liverani, Carlangelo 6 Markarian, Roberto 6 Mi, Zeya 6 Mihailescu, Eugen Gh. 6 Park, Kiho 6 Ruelle, David Pierre 6 Selmi, Bilel 6 Thompson, Daniel J. 6 Vásquez, Carlos H. 6 Wang, Juan 6 Weiss, Howard 6 Zhang, Jimin 5 Bento, António J. G. 5 Bessa, Mário 5 Bonatti, Christian ...and 1,285 more Authors all top 5 Cited in 258 Serials 161 Ergodic Theory and Dynamical Systems 75 Communications in Mathematical Physics 69 Journal of Statistical Physics 58 Transactions of the American Mathematical Society 55 Discrete and Continuous Dynamical Systems 50 Journal of Differential Equations 38 Journal of Mathematical Analysis and Applications 37 Dynamical Systems 34 Israel Journal of Mathematics 34 Nonlinearity 34 Chaos, Solitons and Fractals 32 Chaos 31 Proceedings of the American Mathematical Society 29 Advances in Mathematics 28 Physica D 27 Journal of Dynamics and Differential Equations 24 Inventiones Mathematicae 23 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 21 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 20 Stochastics and Dynamics 16 Journal of Modern Dynamics 15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 13 Mathematische Zeitschrift 13 Monatshefte für Mathematik 13 Annales Henri Poincaré 12 Journal of Mathematical Physics 10 Bulletin of the American Mathematical Society. New Series 10 Annals of Mathematics. Second Series 10 Journal of the European Mathematical Society (JEMS) 10 Journal of Dynamical and Control Systems 9 Geometriae Dedicata 9 Journal of Functional Analysis 9 Science China. Mathematics 8 Bulletin des Sciences Mathématiques 8 Journal of Dynamical Systems and Geometric Theories 8 Bulletin of the Brazilian Mathematical Society. New Series 7 Mathematical Notes 7 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 7 Duke Mathematical Journal 7 Publications Mathématiques 7 Journal of the American Mathematical Society 7 Journal de Mathématiques Pures et Appliquées. 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Series B 5 Entropy 5 Proceedings of the Steklov Institute of Mathematics 4 Communications on Pure and Applied Mathematics 4 Acta Mathematica 4 Topology and its Applications 4 Annales de l’Institut Henri Poincaré. Physique Théorique 4 Topological Methods in Nonlinear Analysis 4 Conformal Geometry and Dynamics 4 Taiwanese Journal of Mathematics 4 Communications in Contemporary Mathematics 3 Periodica Mathematica Hungarica 3 Physica A 3 Commentarii Mathematici Helvetici 3 Compositio Mathematica 3 Fuzzy Sets and Systems 3 Journal of the Korean Mathematical Society 3 Mathematische Annalen 3 Mathematische Nachrichten 3 Probability Theory and Related Fields 3 Revista Matemática Iberoamericana 3 Open Systems & Information Dynamics 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Milan Journal of Mathematics 3 Mediterranean Journal of Mathematics 3 Discrete and Continuous Dynamical Systems. Series S 3 São Paulo Journal of Mathematical Sciences 2 Applicable Analysis 2 Biological Cybernetics 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Journal d’Analyse Mathématique 2 Journal of the Franklin Institute 2 Linear and Multilinear Algebra 2 Physics Letters. A 2 Physics Reports 2 Journal of Geometry and Physics 2 The Annals of Probability 2 Applied Mathematics and Computation 2 Archiv der Mathematik ...and 158 more Serials all top 5 Cited in 54 Fields 1,286 Dynamical systems and ergodic theory (37-XX) 255 Measure and integration (28-XX) 143 Ordinary differential equations (34-XX) 86 Differential geometry (53-XX) 78 Probability theory and stochastic processes (60-XX) 56 Statistical mechanics, structure of matter (82-XX) 42 General topology (54-XX) 39 Partial differential equations (35-XX) 38 Operator theory (47-XX) 35 Global analysis, analysis on manifolds (58-XX) 34 Difference and functional equations (39-XX) 34 Mechanics of particles and systems (70-XX) 29 Manifolds and cell complexes (57-XX) 29 Systems theory; control (93-XX) 27 Information and communication theory, circuits (94-XX) 26 Quantum theory (81-XX) 25 Number theory (11-XX) 22 Biology and other natural sciences (92-XX) 19 Numerical analysis (65-XX) 18 Statistics (62-XX) 17 Several complex variables and analytic spaces (32-XX) 16 Functional analysis (46-XX) 15 Fluid mechanics (76-XX) 14 Topological groups, Lie groups (22-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 11 Computer science (68-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Algebraic geometry (14-XX) 8 Functions of a complex variable (30-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 7 Real functions (26-XX) 7 Operations research, mathematical programming (90-XX) 6 Group theory and generalizations (20-XX) 5 Geometry (51-XX) 4 History and biography (01-XX) 4 Abstract harmonic analysis (43-XX) 4 Geophysics (86-XX) 3 General and overarching topics; collections (00-XX) 3 Mathematical logic and foundations (03-XX) 3 Combinatorics (05-XX) 3 Convex and discrete geometry (52-XX) 2 Algebraic topology (55-XX) 2 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Associative rings and algebras (16-XX) 1 \(K\)-theory (19-XX) 1 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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