Edit Profile (opens in new tab) Pesin, Yakov Borisovich Co-Author Distance 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 more...less Further Spellings: Песин Яков Борисович External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 118 Publications since 1973, including 8 Books 11 Contributions as Editor · 1 Further Contribution Co-Authors: 129 Co-Authors with 92 Joint Publications 2,957 Co-Co-Authors all top 5 Co-Authors 38 single-authored 10 Barreira, Luis Manuel 10 Sinaĭ, Yakov Grigor’evich 9 Brin, Michael 9 Climenhaga, Vaughn 7 Dolgopyat, Dmitry 7 Hasselblatt, Boris 7 Zhang, Ke 6 Afraimovich, Valentin S. 6 Hu, Huyi 6 Katok, Anatole 6 Schmeling, Jorg 6 Senti, Samuel 6 Weiss, Howard 5 Bunimovich, Leonid Abramovich 4 Chen, Jianyu 4 Zhao, Yun 3 Burns, Keith 3 Katok, Svetlana R. 3 Rodriguez-Hertz, Federico 2 de la Llave, Rafael 2 Fayad, Bassam R. 2 Forni, Giovanni 2 Gonchenko, Sergey V. 2 Gorodetskii, Anton Semenovich 2 Gurevich, Boris 2 Ilyashenko, Yulij Sergeevich 2 Jiang, Miaohua 2 Lemańczyk, Mariusz 2 Lerman, Lev 2 Luzzatto, Stefano 2 Pollicott, Mark 2 Spatzier, Ralf J. 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 Akhmet’ev, Pëtr Mikhaĭlovich 1 Anashkin, Oleg V. 1 Anosov, Dmitriĭ Viktorovich 1 Balandin, Dmitriĭ Vladimirovich 1 Barinova, Marina Konstantinovna 1 Belykh, Vladimir Nikitich 1 Bezdenezhnykh, A. N. 1 Boldrighini, Carlo 1 Cao, Yongluo 1 Cellarosi, Francesco 1 Chebochko, N. G. 1 Chilina, Ekaterina Evgen’evna 1 Cohen, Albert 1 Damjanović, Danijela 1 Dani, Shrikrishna Gopalrao 1 Davydov, Alekseĭ Aleksandrovich 1 De Lellis, Camillo 1 Deligne, Pierre René 1 Dobrushin, Roland L’vovich 1 Galkin, Oleg Evgen’evich 1 Galkina, Svetlana Yur’evna 1 Glysin, S. D. 1 Gogolev, Andrey 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 Klimenko, Alexey V. 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 Evgen’evich 1 Lando, Sergei K. 1 Latash, Mark L. 1 Levchenko, Yulia A. 1 Li, Dong 1 Maksymenko, Sergiĭ Ivanovych 1 Malkin, Mikhail Iosifovich 1 Malyshev, Dmitriĭ Sergeevich 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, Dmitriĭ Il’ich 1 Mitryakova, T. M. 1 Morosov, A. D. 1 Morosov, A. I. 1 Morozov, Al’bert Dmitrievich ...and 50 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 Graduate Studies in 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 University Lecture Series 1 Student Mathematical Library 1 Journal of Physics A: Mathematical and Theoretical 1 Arnold Mathematical Journal 1 Zurich Lectures in Advanced Mathematics 1 The Abel Prize 1 Translations. Series 2. American Mathematical Society 1 Russian Journal of Nonlinear Dynamics all top 5 Fields 115 Dynamical systems and ergodic theory (37-XX) 22 Measure and integration (28-XX) 10 History and biography (01-XX) 10 Differential geometry (53-XX) 9 General and overarching topics; collections (00-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 105 Publications have been cited 2,581 times in 1,720 Documents Cited by ▼ Year ▼ Characteristic Lyapunov exponents and smooth ergodic theory. Zbl 0383.58011Pesin, Ja. B. 403 1977 Nonuniform hyperbolicity. Dynamics of systems with nonzero Lyapunov exponents. Zbl 1144.37002Barreira, Luis; Pesin, Yakov 190 2007 Dimension theory in dynamical systems: contemporary views and applications. Zbl 0895.58033Pesin, Yakov B. 169 1998 Families of invariant manifolds corresponding to nonzero characteristic exponents. Zbl 0383.58012Pesin, Ja. B. 135 1978 Topological pressure and the variational principle for noncompact sets. Zbl 0567.54027Pesin, Ya. B.; Pitskel, B. S. 129 1984 Lectures on partial hyperbolicity and stable ergodicity. Zbl 1098.37024Pesin, Yakov 93 2004 Gibbs measures for partially hyperbolic attractors. Zbl 0519.58035Pesin, Ya. B.; Sinai, Ya. G. 80 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. 72 2001 Partially hyperbolic dynamical systems. Zbl 0304.58017Brin, M. I.; Pesin, Ya. B. 67 1974 Dimension and product structure of hyperbolic measures. Zbl 0977.37011Barreira, Luis; Pesin, Yakov; Schmeling, Jörg 66 1999 A multifractal analysis of equilibrium measures for conformal expanding maps and Moran-like geometric constructions. Zbl 0985.37040Pesin, Yakov; Weiss, Howard 65 1997 Lyapunov exponents and smooth ergodic theory. Zbl 1195.37002Barreira, Luis; Pesin, Yakov B. 59 2001 The multifractal analysis of Gibbs measures: Motivation, mathematical foundation, and examples. Zbl 0933.37020Pesin, Yakov; Weiss, Howard 51 1997 Dynamical systems with generalized hyperbolic attractors: Hyperbolic, ergodic and topological properties. Zbl 0774.58029Pesin, Ya. B. 50 1992 On a general concept of multifractality: Multifractal spectra for dimensions, entropies, and Lyapunov exponents. Multifractal rigidity. Zbl 0933.37002Barreira, Luis; Pesin, Yakov; Schmeling, Jörg 49 1997 Partially hyperbolic dynamical systems. Zbl 0309.58017Brin, M. I.; Pesin, Ya. B. 45 1975 Partially hyperbolic dynamical systems. Zbl 1130.37355Hasselblatt, Boris; Pesin, Yakov 37 2006 Geodesic flows on closed Riemannian manifolds without focal points. Zbl 0399.58010Pesin, Ja. B. 34 1977 On rigorous mathematical definitions of correlation dimension and generalized spectrum for dimensions. Zbl 0916.28006Pesin, Ya. B. 34 1993 Partial hyperbolicity, Lyapunov exponents and stable ergodicity. Zbl 1124.37308Burns, K.; Dolgopyat, D.; Pesin, Ya. 32 2002 On the dimension of deterministic and random Cantor-like sets, symbolic dynamics, and the Eckmann-Ruelle conjecture. Zbl 0878.28006Pesin, Yakov; Weiss, Howard 28 1996 Introduction to smooth ergodic theory. Zbl 1336.37001Barreira, Luis; Pesin, Yakov 27 2013 Equilibrium measures for coupled map lattices: Existence, uniqueness and finite-dimensional approximations. Zbl 0944.37005Jiang, Miaohua; Pesin, Yakov B. 26 1998 Equilibrium measures for maps with inducing schemes. Zbl 1159.37007Pesin, Yakov; Senti, Samuel 24 2008 Stable ergodicity for partially hyperbolic attractors with negative central exponents. Zbl 1145.37021Burns, Keith; Dolgopyat, Dmitry; Pesin, Yakov; Pollicott, Mark 23 2008 Every compact manifold carries a completely hyperbolic diffeomorphism. Zbl 1046.37015Dolgopyat, Dmitry; Pesin, Yakov 23 2002 Smooth ergodic theory and nonuniformly hyperbolic dynamics. (With an appendix by Omri Sarig). Zbl 1130.37351Barreira, Luis; Pesin, Yakov 22 2006 The multifractal analysis of Birkhoff averages and large deviations. Zbl 0996.37021Pesin, Yakov; Weiss, Howard 22 2001 Dimension type characteristics for invariant sets of dynamical systems. Zbl 0684.58024Pesin, Ya. B. 20 1988 Dimension of non-conformal repellers: a survey. Zbl 1201.37026Chen, Jianyu; Pesin, Yakov 19 2010 Multifractal analysis of conformal Axiom A flows. Zbl 0992.37023Pesin, Ya. B.; Sadovskaya, V. 19 2001 Dimension estimates for non-conformal repellers and continuity of sub-additive topological pressure. Zbl 1427.37018Cao, Yongluo; Pesin, Yakov; Zhao, Yun 17 2019 Space-time chaos in chains of weakly interacting hyperbolic mappings. Zbl 0850.70250Pesin, Ya. B.; Sinaĭ, Ya. G. 16 1991 Ljapunov characteristic exponents and ergodic properties of smooth dynamical systems with an invariant measure. Zbl 0345.58010Pesin, Ja. B. 16 1976 Thermodynamics of towers of hyperbolic type. Zbl 1366.37080Pesin, Y.; Senti, S.; Zhang, K. 16 2016 Every compact manifold carries a hyperbolic Bernoulli flow. Zbl 1147.37316Hu, Huyi; Pesin, Yakov; Talitskaya, Anna 14 2004 Non-absolutely continuous foliations. Zbl 1137.37014Hirayama, Michihiro; Pesin, Yakov 14 2007 Non-stationary non-uniform hyperbolicity: SRB measures for dissipative maps. Zbl 1380.37068Climenhaga, Vaughn; Dolgopyat, Dmitry; Pesin, Yakov 14 2016 Travelling waves in lattice models of multi-dimensional and multi- component media. I: General hyperbolic properties. Zbl 0773.76006Afrajmovich, V.; Pesin, Ya 13 1993 Equations for the entropy of a geodesic flow on a compact Riemannian manifold without conjugate points. Zbl 0411.58016Pesin, Ya. B. 13 1979 Open problems in the theory of non-uniform hyperbolicity. Zbl 1200.37001Pesin, Yakov; Climenhaga, Vaughn 13 2010 Equilibrium states in dynamical systems via geometric measure theory. Zbl 1430.37036Climenhaga, Vaughn; Pesin, Yakov; Zelerowicz, Agnieszka 13 2019 On the pointwise dimension of hyperbolic measures: a proof of the Eckmann-Ruelle conjecture. Zbl 0871.58054Barreira, Luis; Pesin, Yakov; Schmeling, Jörg 12 1996 Thermodynamics of the Katok map. Zbl 1412.37043Pesin, Y.; Senti, S.; Zhang, K. 12 2019 Thermodynamical formalism associated with inducing schemes for one-dimensional maps. Zbl 1109.37028Pesin, Yakov; Senti, Samuel 11 2005 Some physical models described by the reaction-diffusion equation, and coupled map lattices. Zbl 1160.37423Pesin, Ya. B.; Yurchenko, A. A. 11 2004 Building thermodynamics for non-uniformly hyperbolic maps. Zbl 1380.37063Climenhaga, Vaughn; Pesin, Yakov 11 2017 Lifting measures to inducing schemes. Zbl 1154.37302Pesin, Ya. B.; Senti, S.; Zhang, K. 10 2008 Correlation dimension of measures invariant under group actions. Zbl 0833.60008Pesin, Ya.; Tempelman, A. 10 1995 Equilibrium measures for some partially hyperbolic systems. Zbl 1471.37037Climenhaga, Vaughn; Pesin, Yakov; Zelerowicz, Agnieszka 10 2020 The geometric approach for constructing Sinai-Ruelle-Bowen measures. Zbl 1364.37074Climenhaga, Vaughn; Luzzatto, Stefano; Pesin, Yakov 10 2017 Path connectedness and entropy density of the space of hyperbolic ergodic measures. Zbl 1385.37042Gorodetski, Anton; Pesin, Yakov 10 2017 Multifractal spectra and multifractal rigidity for horseshoes. Zbl 0949.37017Barreira, L.; Pesin, Ya.; Schmeling, J. 9 1997 On the dimension of deterministic and random Cantor-like sets. Zbl 0834.28004Pesin, Yakov; Weiss, Howard 8 1994 Lectures on fractal geometry and dynamical systems. Zbl 1186.37003Pesin, Yakov; Climenhaga, Vaughn 8 2009 Phase transitions for uniformly expanding maps. Zbl 1101.37021Pesin, Yakov; Zhang, Ke 8 2006 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 Existence and genericity problems for dynamical systems with nonzero Lyapunov exponents. Zbl 1229.37021Pesin, Ya. 8 2007 Dynamics of a discrete Brusselator model: escape to infinity and Julia set. Zbl 1115.37071Kang, Hunseok; Pesin, Yakov 7 2005 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. 7 2010 Partially hyperbolic dynamical systems. Zbl 0285.58010Brin, M. I.; Pesin, Ya. B. 7 1973 Scaled entropy for dynamical systems. Zbl 1360.37048Zhao, Yun; Pesin, Yakov 7 2015 Space-time chaos in the system of weakly interacting hyperbolic systems. Zbl 0727.58031Pesin, Ya. B.; Sinai, Ya. G. 6 1988 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 Dimension of Lorenz type attractors. Zbl 0628.58031Afrajmovich, V. S.; Pesin, Ya. B. 6 1987 Description of \(\pi\)-partition of a diffeomorphism with invariant measure. Zbl 0423.58013Pesin, Ya. B. 5 1978 Familien invarianter Mannigfaltigkeiten, die nicht-verschwindenden charakteristischen Exponenten entsprechen. Zbl 0372.58009Pesin, Ja. B. 5 1976 Ergodic theory of smooth dynamical systems. Zbl 0781.58018Sinai, Ya. G.; Pesin, Ya. B.; Bunimovich, L. A.; Yakobson, M. V. 5 1985 Modern theory of dynamical systems. A tribute to Dmitry Victorovich Anosov. Zbl 1370.37002 5 2017 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 On the integrability of intermediate distributions for Anosov diffeomorphisms. Zbl 0824.58037Jiang, M.; Pesin, Ya B.; de la Llave, R. 4 1995 On the existence of invariant fiberings for a diffeomorphism of a smooth manifold. Zbl 0286.57017Pesin, Ja. B. 4 1974 On the work of Sarig on countable Markov chains and thermodynamic formalism. Zbl 1351.37150Pesin, Yakov 4 2014 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 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 Ergodic properties and dimensionlike characteristics of strange attractors that are close to hyperbolic. Zbl 0698.58035Pesin, Ya. 3 1987 SRB measures and Young towers for surface diffeomorphisms. Zbl 1503.37046Climenhaga, Vaughn; Luzzatto, Stefano; Pesin, Yakov 3 2022 On the notion of the dimension with respect to a dynamical system. Zbl 0616.58038Pesin, Ya. B. 3 1984 Smooth ergodic theory and its applications. Proceedings of the AMS summer research institute, Seattle, WA, USA, July 26–August 13, 1999. Zbl 0973.00044 3 2001 On the work of Dolgopyat on partial and nonuniform hyperbolicity. Zbl 1202.37029Pesin, Yakov 2 2010 Sinai’s Moscow seminar on dynamical systems. Zbl 0831.00008 2 1996 On Morse-Smale endomorphisms. Zbl 0841.58036Brin, M.; Pesin, Ya. 2 1996 Chaos in traveling waves of lattice systems of unbounded media. Zbl 0979.37041Orendovici, D. R.; Pesin, Ya. B. 2 2000 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 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. 2 1977 A volume preserving flow with essential coexistence of zero and non-zero Lyapunov exponents. Zbl 1286.37037Chen, Jianyu; Hu, Huyi; Pesin, Yakov 2 2013 D. V. Anosov and our road to partial hyperbolicity. Zbl 1385.37043Brin, Michael; Pesin, Yakov 2 2017 Pointwise hyperbolicity implies uniform hyperbolicity. Zbl 1358.37062Hasselblatt, Boris; Pesin, Yakov; Schmeling, Jörg 2 2014 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 Formeln für die Entropie eines geodätischen Flusses auf einer kompakten Riemannschen Mannigfaltigkeit ohne konjugierte Punkte. Zbl 0399.58009Pesin, Ja. B. 1 1978 Flüsse von Reperes auf Mannigfaltigkeiten negativer Krümmung. Zbl 0285.58011Brin, M. I.; Pesin, Ja. B. 1 1973 Behavior of solutions of a strongly nonlinear differential equation with delay argument. Zbl 0316.34085Pesin, Ja. B. 1 1975 SRB measures and Young towers for surface diffeomorphisms. Zbl 1503.37046Climenhaga, Vaughn; Luzzatto, Stefano; Pesin, Yakov 3 2022 Corrigendum to: “Thermodynamics of the Katok map”. Zbl 1469.37024Pesin, Y.; Senti, S.; Zhang, K. 1 2021 Equilibrium measures for some partially hyperbolic systems. Zbl 1471.37037Climenhaga, Vaughn; Pesin, Yakov; Zelerowicz, Agnieszka 10 2020 Dimension estimates for non-conformal repellers and continuity of sub-additive topological pressure. Zbl 1427.37018Cao, Yongluo; Pesin, Yakov; Zhao, Yun 17 2019 Equilibrium states in dynamical systems via geometric measure theory. Zbl 1430.37036Climenhaga, Vaughn; Pesin, Yakov; Zelerowicz, Agnieszka 13 2019 Thermodynamics of the Katok map. Zbl 1412.37043Pesin, Y.; Senti, S.; Zhang, K. 12 2019 The Abel Prize 2013–2017. Zbl 1419.01001 1 2019 Building thermodynamics for non-uniformly hyperbolic maps. Zbl 1380.37063Climenhaga, Vaughn; Pesin, Yakov 11 2017 The geometric approach for constructing Sinai-Ruelle-Bowen measures. Zbl 1364.37074Climenhaga, Vaughn; Luzzatto, Stefano; Pesin, Yakov 10 2017 Path connectedness and entropy density of the space of hyperbolic ergodic measures. Zbl 1385.37042Gorodetski, Anton; Pesin, Yakov 10 2017 Modern theory of dynamical systems. A tribute to Dmitry Victorovich Anosov. Zbl 1370.37002 5 2017 D. V. Anosov and our road to partial hyperbolicity. Zbl 1385.37043Brin, Michael; Pesin, Yakov 2 2017 Thermodynamics of towers of hyperbolic type. Zbl 1366.37080Pesin, Y.; Senti, S.; Zhang, K. 16 2016 Non-stationary non-uniform hyperbolicity: SRB measures for dissipative maps. Zbl 1380.37068Climenhaga, Vaughn; Dolgopyat, Dmitry; Pesin, Yakov 14 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 27 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 19 2010 Open problems in the theory of non-uniform hyperbolicity. Zbl 1200.37001Pesin, Yakov; Climenhaga, Vaughn 13 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. 7 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 8 2009 Equilibrium measures for maps with inducing schemes. Zbl 1159.37007Pesin, Yakov; Senti, Samuel 24 2008 Stable ergodicity for partially hyperbolic attractors with negative central exponents. Zbl 1145.37021Burns, Keith; Dolgopyat, Dmitry; Pesin, Yakov; Pollicott, Mark 23 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 190 2007 Non-absolutely continuous foliations. Zbl 1137.37014Hirayama, Michihiro; Pesin, Yakov 14 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 37 2006 Smooth ergodic theory and nonuniformly hyperbolic dynamics. (With an appendix by Omri Sarig). Zbl 1130.37351Barreira, Luis; Pesin, Yakov 22 2006 Phase transitions for uniformly expanding maps. Zbl 1101.37021Pesin, Yakov; Zhang, Ke 8 2006 Thermodynamical formalism associated with inducing schemes for one-dimensional maps. Zbl 1109.37028Pesin, Yakov; Senti, Samuel 11 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 93 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. 11 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. 32 2002 Every compact manifold carries a completely hyperbolic diffeomorphism. Zbl 1046.37015Dolgopyat, Dmitry; Pesin, Yakov 23 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. 72 2001 Lyapunov exponents and smooth ergodic theory. Zbl 1195.37002Barreira, Luis; Pesin, Yakov B. 59 2001 The multifractal analysis of Birkhoff averages and large deviations. Zbl 0996.37021Pesin, Yakov; Weiss, Howard 22 2001 Multifractal analysis of conformal Axiom A flows. Zbl 0992.37023Pesin, Ya. B.; Sadovskaya, V. 19 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 3 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 66 1999 Dimension theory in dynamical systems: contemporary views and applications. Zbl 0895.58033Pesin, Yakov B. 169 1998 Equilibrium measures for coupled map lattices: Existence, uniqueness and finite-dimensional approximations. Zbl 0944.37005Jiang, Miaohua; Pesin, Yakov B. 26 1998 A multifractal analysis of equilibrium measures for conformal expanding maps and Moran-like geometric constructions. Zbl 0985.37040Pesin, Yakov; Weiss, Howard 65 1997 The multifractal analysis of Gibbs measures: Motivation, mathematical foundation, and examples. Zbl 0933.37020Pesin, Yakov; Weiss, Howard 51 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 49 1997 Multifractal spectra and multifractal rigidity for horseshoes. Zbl 0949.37017Barreira, L.; Pesin, Ya.; Schmeling, J. 9 1997 On the dimension of deterministic and random Cantor-like sets, symbolic dynamics, and the Eckmann-Ruelle conjecture. Zbl 0878.28006Pesin, Yakov; Weiss, Howard 28 1996 On the pointwise dimension of hyperbolic measures: a proof of the Eckmann-Ruelle conjecture. Zbl 0871.58054Barreira, Luis; Pesin, Yakov; Schmeling, Jörg 12 1996 Sinai’s Moscow seminar on dynamical systems. Zbl 0831.00008 2 1996 On Morse-Smale endomorphisms. Zbl 0841.58036Brin, M.; Pesin, Ya. 2 1996 Correlation dimension of measures invariant under group actions. Zbl 0833.60008Pesin, Ya.; Tempelman, A. 10 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 8 1994 On rigorous mathematical definitions of correlation dimension and generalized spectrum for dimensions. Zbl 0916.28006Pesin, Ya. B. 34 1993 Travelling waves in lattice models of multi-dimensional and multi- component media. I: General hyperbolic properties. Zbl 0773.76006Afrajmovich, V.; Pesin, Ya 13 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. 50 1992 Space-time chaos in chains of weakly interacting hyperbolic mappings. Zbl 0850.70250Pesin, Ya. B.; Sinaĭ, Ya. G. 16 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. 20 1988 Space-time chaos in the system of weakly interacting hyperbolic systems. Zbl 0727.58031Pesin, Ya. B.; Sinai, Ya. G. 6 1988 Dimension of Lorenz type attractors. Zbl 0628.58031Afrajmovich, V. S.; Pesin, Ya. B. 6 1987 Ergodic properties and dimensionlike characteristics of strange attractors that are close to hyperbolic. Zbl 0698.58035Pesin, Ya. 3 1987 Ergodic theory of smooth dynamical systems. Zbl 0781.58018Sinai, Ya. G.; Pesin, Ya. B.; Bunimovich, L. A.; Yakobson, M. V. 5 1985 Topological pressure and the variational principle for noncompact sets. Zbl 0567.54027Pesin, Ya. B.; Pitskel, B. S. 129 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. 80 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. 135 1978 Description of \(\pi\)-partition of a diffeomorphism with invariant measure. Zbl 0423.58013Pesin, Ya. B. 5 1978 Formeln für die Entropie eines geodätischen Flusses auf einer kompakten Riemannschen Mannigfaltigkeit ohne konjugierte Punkte. Zbl 0399.58009Pesin, Ja. B. 1 1978 Characteristic Lyapunov exponents and smooth ergodic theory. Zbl 0383.58011Pesin, Ja. B. 403 1977 Geodesic flows on closed Riemannian manifolds without focal points. Zbl 0399.58010Pesin, Ja. B. 34 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. 2 1977 Ljapunov characteristic exponents and ergodic properties of smooth dynamical systems with an invariant measure. Zbl 0345.58010Pesin, Ja. B. 16 1976 Familien invarianter Mannigfaltigkeiten, die nicht-verschwindenden charakteristischen Exponenten entsprechen. Zbl 0372.58009Pesin, Ja. B. 5 1976 Partially hyperbolic dynamical systems. Zbl 0309.58017Brin, M. I.; Pesin, Ya. B. 45 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. 67 1974 ...and 5 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,522 Authors 118 Barreira, Luis Manuel 96 Valls Anglés, Cláudia 35 Pesin, Yakov Borisovich 32 Dragičević, Davor 25 Gelfert, Katrin Grit 23 Young, Lai-Sang 22 de la Llave, Rafael 21 Cao, Yongluo 20 Zhao, Yun 19 Chen, Ercai 18 Araújo, Vítor 17 Hu, Huyi 16 Viana, Marcelo 15 Varandas, Paulo 15 Yang, Jiagang 14 Katok, Anatole 14 Ma, Dongkui 14 Mesón, Alejandro M. 14 Pollicott, Mark 14 Rodriguez-Hertz, Federico 14 Vericat, Fernando 13 Climenhaga, Vaughn 13 Li, Zhiming 13 Rams, Michał 12 Díaz, Lorenzo Justiniano 12 Przytycki, Feliks 12 Tahzibi, Ali 12 Tian, Xueting 11 Dolgopyat, Dmitry 11 Feng, De-Jun 11 Iommi, Godofredo 11 Kalinin, Boris 11 Luzzatto, Stefano 11 Rodriguez Hertz, Jana 11 Ures, Raúl 11 Wu, Min 11 Zhu, Yujun 10 Backes, Lucas H. 10 Blumenthal, Alex 10 Czornik, Adam 10 Ledrappier, François 10 Pacifico, Maria José 10 Ruggiero, Rafael Oswaldo 10 Seuret, Stéphane 10 Todd, Mike 9 Bochi, Jairo 9 Brin, Michael 9 Li, Jinjun 9 Mihailescu, Eugen Gh. 9 Schmeling, Jorg 9 Silva, César M. 9 Vaienti, Sandro 9 Wu, Weisheng 8 Alves, José Ferreira 8 Avila, Artur 8 Crovisier, Sylvain 8 Huang, Wen 8 Liverani, Carlangelo 8 Lu, Kening 8 Pochinka, Olga Vital’evna 8 Sadovskaya, Victoria 8 Saussol, Benoît 8 Sun, Wenxiang 8 Urbański, Mariusz 8 Wang, Juan 8 Wilkinson, Amie 8 Wolf, Christian 8 Zhou, Xiaoyao 7 Barral, Julien 7 Brown, Aaron W. 7 Bunimovich, Leonid Abramovich 7 Burns, Keith 7 Carrasco, Pablo D. 7 Chernov, Nikolai Ivanovich 7 Fisher, Todd L. 7 Lian, Zeng 7 Liang, Chao 7 Liao, Lingmin 7 Mi, Zeya 7 Park, Kiho 7 Selmi, Bilel 7 Thompson, Daniel J. 7 Wojtkowski, Maciej P. 7 Yang, Dawei 7 Zhang, Weinian 7 Zhou, Yunhua 6 Afraimovich, Valentin S. 6 Attia, Najmeddine 6 Bessa, Mário 6 Cheng, Wenchiao 6 Del Magno, Gianluigi 6 Dupont, Christophe 6 Fan, Meng 6 Fayad, Bassam R. 6 Galatolo, Stefano 6 Gan, Shaobo 6 Gogolev, Andrey 6 Gorodetskii, Anton Semenovich 6 Hammerlindl, Andy 6 Hasselblatt, Boris ...and 1,422 more Authors all top 5 Cited in 281 Serials 175 Ergodic Theory and Dynamical Systems 83 Communications in Mathematical Physics 75 Journal of Statistical Physics 63 Discrete and Continuous Dynamical Systems 61 Transactions of the American Mathematical Society 55 Journal of Differential Equations 42 Journal of Mathematical Analysis and Applications 42 Dynamical Systems 40 Nonlinearity 36 Chaos, Solitons and Fractals 34 Proceedings of the American Mathematical Society 33 Advances in Mathematics 32 Israel Journal of Mathematics 32 Journal of Dynamics and Differential Equations 32 Chaos 30 Physica D 27 Inventiones Mathematicae 24 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 23 Stochastics and Dynamics 21 Annales de l’Institut Henri Poincaré. 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