## Pesin, Yakov Borisovich

Compute Distance To:
 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)

### 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 0383.58011
Pesin, Ja. B.
1977
Nonuniform hyperbolicity. Dynamics of systems with nonzero Lyapunov exponents. Zbl 1144.37002
Barreira, Luis; Pesin, Yakov
2007
Dimension theory in dynamical systems: contemporary views and applications. Zbl 0895.58033
Pesin, Yakov B.
1998
Families of invariant manifolds corresponding to nonzero characteristic exponents. Zbl 0383.58012
Pesin, Ja. B.
1978
Topological pressure and the variational principle for noncompact sets. Zbl 0567.54027
Pesin, Ya. B.; Pitskel, B. S.
1984
Lectures on partial hyperbolicity and stable ergodicity. Zbl 1098.37024
Pesin, Yakov
2004
Gibbs measures for partially hyperbolic attractors. Zbl 0519.58035
Pesin, Ya. B.; Sinai, Ya. G.
1982
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
A multifractal analysis of equilibrium measures for conformal expanding maps and Moran-like geometric constructions. Zbl 0985.37040
Pesin, Yakov; Weiss, Howard
1997
Dimension and product structure of hyperbolic measures. Zbl 0977.37011
Barreira, Luis; Pesin, Yakov; Schmeling, Jörg
1999
The multifractal analysis of Gibbs measures: Motivation, mathematical foundation, and examples. Zbl 0933.37020
Pesin, Yakov; Weiss, Howard
1997
Lyapunov exponents and smooth ergodic theory. Zbl 1195.37002
Barreira, Luis; Pesin, Yakov B.
2001
On a general concept of multifractality: Multifractal spectra for dimensions, entropies, and Lyapunov exponents. Multifractal rigidity. Zbl 0933.37002
Barreira, Luis; Pesin, Yakov; Schmeling, Jörg
1997
Partially hyperbolic dynamical systems. Zbl 0309.58017
Brin, M. I.; Pesin, Ya. B.
1975
Dynamical systems with generalized hyperbolic attractors: Hyperbolic, ergodic and topological properties. Zbl 0774.58029
Pesin, Ya. B.
1992
On rigorous mathematical definitions of correlation dimension and generalized spectrum for dimensions. Zbl 0916.28006
Pesin, Ya. B.
1993
Partially hyperbolic dynamical systems. Zbl 1130.37355
Hasselblatt, Boris; Pesin, Yakov
2006
Partial hyperbolicity, Lyapunov exponents and stable ergodicity. Zbl 1124.37308
Burns, K.; Dolgopyat, D.; Pesin, Ya.
2002
Geodesic flows on closed Riemannian manifolds without focal points. Zbl 0399.58010
Pesin, Ja. B.
1977
On the dimension of deterministic and random Cantor-like sets, symbolic dynamics, and the Eckmann-Ruelle conjecture. Zbl 0878.28006
Pesin, Yakov; Weiss, Howard
1996
Introduction to smooth ergodic theory. Zbl 1336.37001
Barreira, Luis; Pesin, Yakov
2013
Equilibrium measures for coupled map lattices: Existence, uniqueness and finite-dimensional approximations. Zbl 0944.37005
Jiang, Miaohua; Pesin, Yakov B.
1998
Equilibrium measures for maps with inducing schemes. Zbl 1159.37007
Pesin, Yakov; Senti, Samuel
2008
Every compact manifold carries a completely hyperbolic diffeomorphism. Zbl 1046.37015
Dolgopyat, Dmitry; Pesin, Yakov
2002
Stable ergodicity for partially hyperbolic attractors with negative central exponents. Zbl 1145.37021
Burns, Keith; Dolgopyat, Dmitry; Pesin, Yakov; Pollicott, Mark
2008
The multifractal analysis of Birkhoff averages and large deviations. Zbl 0996.37021
Pesin, Yakov; Weiss, Howard
2001
Smooth ergodic theory and nonuniformly hyperbolic dynamics. (With an appendix by Omri Sarig). Zbl 1130.37351
Barreira, Luis; Pesin, Yakov
2006
Multifractal analysis of conformal Axiom A flows. Zbl 0992.37023
2001
Dimension type characteristics for invariant sets of dynamical systems. Zbl 0684.58024
Pesin, Ya. B.
1988
Space-time chaos in chains of weakly interacting hyperbolic mappings. Zbl 0850.70250
Pesin, Ya. B.; Sinaĭ, Ya. G.
1991
Dimension of non-conformal repellers: a survey. Zbl 1201.37026
Chen, Jianyu; Pesin, Yakov
2010
Ljapunov characteristic exponents and ergodic properties of smooth dynamical systems with an invariant measure. Zbl 0345.58010
Pesin, Ja. B.
1976
Thermodynamics of towers of hyperbolic type. Zbl 1366.37080
Pesin, Y.; Senti, S.; Zhang, K.
2016
Every compact manifold carries a hyperbolic Bernoulli flow. Zbl 1147.37316
Hu, Huyi; Pesin, Yakov; Talitskaya, Anna
2004
Equations for the entropy of a geodesic flow on a compact Riemannian manifold without conjugate points. Zbl 0411.58016
Pesin, Ya. B.
1979
Non-absolutely continuous foliations. Zbl 1137.37014
Hirayama, Michihiro; Pesin, Yakov
2007
Travelling waves in lattice models of multi-dimensional and multi- component media. I: General hyperbolic properties. Zbl 0773.76006
Afrajmovich, V.; Pesin, Ya
1993
Non-stationary non-uniform hyperbolicity: SRB measures for dissipative maps. Zbl 1380.37068
Climenhaga, Vaughn; Dolgopyat, Dmitry; Pesin, Yakov
2016
Open problems in the theory of non-uniform hyperbolicity. Zbl 1200.37001
Pesin, Yakov; Climenhaga, Vaughn
2010
Thermodynamics of the Katok map. Zbl 1412.37043
Pesin, Y.; Senti, S.; Zhang, K.
2019
Thermodynamical formalism associated with inducing schemes for one-dimensional maps. Zbl 1109.37028
Pesin, Yakov; Senti, Samuel
2005
Some physical models described by the reaction-diffusion equation, and coupled map lattices. Zbl 1160.37423
Pesin, Ya. B.; Yurchenko, A. A.
2004
Lifting measures to inducing schemes. Zbl 1154.37302
Pesin, Ya. B.; Senti, S.; Zhang, K.
2008
On the pointwise dimension of hyperbolic measures: a proof of the Eckmann-Ruelle conjecture. Zbl 0871.58054
Barreira, Luis; Pesin, Yakov; Schmeling, Jörg
1996
Correlation dimension of measures invariant under group actions. Zbl 0833.60008
Pesin, Ya.; Tempelman, A.
1995
Building thermodynamics for non-uniformly hyperbolic maps. Zbl 1380.37063
Climenhaga, Vaughn; Pesin, Yakov
2017
Equilibrium states in dynamical systems via geometric measure theory. Zbl 1430.37036
Climenhaga, Vaughn; Pesin, Yakov; Zelerowicz, Agnieszka
2019
Dimension estimates for non-conformal repellers and continuity of sub-additive topological pressure. Zbl 1427.37018
Cao, Yongluo; Pesin, Yakov; Zhao, Yun
2019
Existence and genericity problems for dynamical systems with nonzero Lyapunov exponents. Zbl 1229.37021
Pesin, Ya.
2007
Multifractal spectra and multifractal rigidity for horseshoes. Zbl 0949.37017
Barreira, L.; Pesin, Ya.; Schmeling, J.
1997
Dynamical systems, ergodic theory and applications. Edited by Ya. G. Sinai. Transl. from the Russian. 2nd, expanded and rev. ed. Zbl 1100.00500
Bunimovich, 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.
2000
Path connectedness and entropy density of the space of hyperbolic ergodic measures. Zbl 1385.37042
Gorodetski, Anton; Pesin, Yakov
2017
Phase transitions for uniformly expanding maps. Zbl 1101.37021
Pesin, Yakov; Zhang, Ke
2006
Dynamics of a discrete Brusselator model: escape to infinity and Julia set. Zbl 1115.37071
Kang, Hunseok; Pesin, Yakov
2005
Lectures on fractal geometry and dynamical systems. Zbl 1186.37003
Pesin, Yakov; Climenhaga, Vaughn
2009
Scaled entropy for dynamical systems. Zbl 1360.37048
Zhao, Yun; Pesin, Yakov
2015
On the dimension of deterministic and random Cantor-like sets. Zbl 0834.28004
Pesin, Yakov; Weiss, Howard
1994
Partially hyperbolic dynamical systems. Zbl 0285.58010
Brin, M. I.; Pesin, Ya. B.
1973
An analytical approach to the problem of inverse optimization with additive objective functions: An application to human prehension. Zbl 1205.92049
Terekhov, Alexander V.; Pesin, Yakov B.; Niu, Xun; Latash, Mark L.; Zatsiorsky, Vladimir M.
2010
Traveling waves in lattice models of multidimensional and multicomponent media. II: Ergodic properties and dimension. Zbl 1055.37584
Afraĭmovich, V. S.; Pesin, Ya. B.; Tempelman, A. A.
1993
Equilibrium measures for some partially hyperbolic systems. Zbl 1471.37037
Climenhaga, Vaughn; Pesin, Yakov; Zelerowicz, Agnieszka
2020
Dimension of Lorenz type attractors. Zbl 0628.58031
Afrajmovich, V. S.; Pesin, Ya. B.
1987
A volume preserving diffeomorphism with essential coexistence of zero and nonzero Lyapunov exponents. Zbl 1281.37017
Hu, Huyi; Pesin, Yakov; Talitskaya, Anna
2013
Hadamard-Perron theorems and effective hyperbolicity. Zbl 1364.37066
Climenhaga, Vaughn; Pesin, Yakov
2016
The essential coexistence phenomenon in dynamics. Zbl 1287.37007
Chen, Jianyu; Hu, Huyi; Pesin, Yakov
2013
Description of $$\pi$$-partition of a diffeomorphism with invariant measure. Zbl 0423.58013
Pesin, Ya. B.
1978
Space-time chaos in the system of weakly interacting hyperbolic systems. Zbl 0727.58031
Pesin, Ya. B.; Sinai, Ya. G.
1988
Hyperbolicity and stochasticity of dynamical systems. Zbl 0561.58038
Pesin, Ya. B.; Sinaj, Ya. G.
1981
Ergodic theory of smooth dynamical systems. Zbl 0781.58018
Sinai, Ya. G.; Pesin, Ya. B.; Bunimovich, L. A.; Yakobson, M. V.
1985
On the work of Sarig on countable Markov chains and thermodynamic formalism. Zbl 1351.37150
Pesin, Yakov
2014
On the existence of invariant fiberings for a diffeomorphism of a smooth manifold. Zbl 0286.57017
Pesin, Ja. B.
1974
On the integrability of intermediate distributions for Anosov diffeomorphisms. Zbl 0824.58037
Jiang, M.; Pesin, Ya B.; de la Llave, R.
1995
Geodesic flows with hyperbolic behaviour of the trajectories and objects connected with them. Zbl 0493.58001
Pesin, Ya. B.
1981
The geometric approach for constructing Sinai-Ruelle-Bowen measures. Zbl 1364.37074
Climenhaga, Vaughn; Luzzatto, Stefano; Pesin, Yakov
2017
On the notion of the dimension with respect to a dynamical system. Zbl 0616.58038
Pesin, Ya. B.
1984
Thermodynamics of inducing schemes and liftability of measures. Zbl 1139.37016
Pesin, Yakov; Zhang, Ke
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
2008
Geodesic flows with hyperbolic behavior of the trajectories and objects connected with them. Zbl 0482.58002
Pesin, Ya. B.
1981
Lösungsverhalten einer stark nichtlinearen Differentialgleichung mit retardiertem Argument. Zbl 0305.34103
Pesin, Ja. B.
1974
Example of a nonergodic flow with nonzero characteristic numbers. Zbl 0305.58012
Pesin, Ja. B.
1974
Chaos in traveling waves of lattice systems of unbounded media. Zbl 0979.37041
Orendovici, D. R.; Pesin, Ya. B.
2000
Ergodic properties and dimensionlike characteristics of strange attractors that are close to hyperbolic. Zbl 0698.58035
Pesin, Ya.
1987
A volume preserving flow with essential coexistence of zero and non-zero Lyapunov exponents. Zbl 1286.37037
Chen, Jianyu; Hu, Huyi; Pesin, Yakov
2013
Pointwise hyperbolicity implies uniform hyperbolicity. Zbl 1358.37062
Hasselblatt, Boris; Pesin, Yakov; Schmeling, Jörg
2014
On the work of Dolgopyat on partial and nonuniform hyperbolicity. Zbl 1202.37029
Pesin, Yakov
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
2001
On Morse-Smale endomorphisms. Zbl 0841.58036
Brin, M.; Pesin, Ya.
1996
Eine Beschreibung der $$\pi$$-Zerlegung eines Diffeomorphismus mit invariantem Maß. Zbl 0357.58009
Pesin, Ja. B.
1977
D. V. Anosov and our road to partial hyperbolicity. Zbl 1385.37043
Brin, Michael; Pesin, Yakov
2017
Modern theory of dynamical systems. A tribute to Dmitry Victorovich Anosov. Zbl 1370.37002
2017
Behavior of solutions of a strongly nonlinear differential equation with delay argument. Zbl 0316.34085
Pesin, Ja. B.
1975
Modern dynamical systems and applications. Dedicated to Anatole Katok on his 60th birthday. Zbl 1051.00012
2004
$$q$$-entropy for symbolic dynamical systems. Zbl 1417.37083
Zhao, Yun; Pesin, Yakov
2015
Erratum to: “Scaled entropy for dynamical systems”. Zbl 1382.37014
Zhao, Yun; Pesin, Yakov
2016
Generalized spectrum for the dimension: The approach based on Carathéodory’s construction. Zbl 0752.58017
Pesin, Ya. B.
1991
Hyperbolicity of infinite-dimensional drift systems. Zbl 0765.58024
Afrajmovich, V. S.; Pesin, Ya. B.
1990
Sinai’s Moscow seminar on dynamical systems. Zbl 0831.00008
1996
Ljapunovsche charakteristische Exponenten und die glatte Ergodentheorie. Zbl 0359.58010
Pesin, Ja. B.
1977
Familien invarianter Mannigfaltigkeiten, die nicht-verschwindenden charakteristischen Exponenten entsprechen. Zbl 0372.58009
Pesin, Ja. B.
1976
Equilibrium measures for some partially hyperbolic systems. Zbl 1471.37037
Climenhaga, Vaughn; Pesin, Yakov; Zelerowicz, Agnieszka
2020
Thermodynamics of the Katok map. Zbl 1412.37043
Pesin, Y.; Senti, S.; Zhang, K.
2019
Equilibrium states in dynamical systems via geometric measure theory. Zbl 1430.37036
Climenhaga, Vaughn; Pesin, Yakov; Zelerowicz, Agnieszka
2019
Dimension estimates for non-conformal repellers and continuity of sub-additive topological pressure. Zbl 1427.37018
Cao, Yongluo; Pesin, Yakov; Zhao, Yun
2019
Building thermodynamics for non-uniformly hyperbolic maps. Zbl 1380.37063
Climenhaga, Vaughn; Pesin, Yakov
2017
Path connectedness and entropy density of the space of hyperbolic ergodic measures. Zbl 1385.37042
Gorodetski, Anton; Pesin, Yakov
2017
The geometric approach for constructing Sinai-Ruelle-Bowen measures. Zbl 1364.37074
Climenhaga, Vaughn; Luzzatto, Stefano; Pesin, Yakov
2017
D. V. Anosov and our road to partial hyperbolicity. Zbl 1385.37043
Brin, Michael; Pesin, Yakov
2017
Modern theory of dynamical systems. A tribute to Dmitry Victorovich Anosov. Zbl 1370.37002
2017
Thermodynamics of towers of hyperbolic type. Zbl 1366.37080
Pesin, Y.; Senti, S.; Zhang, K.
2016
Non-stationary non-uniform hyperbolicity: SRB measures for dissipative maps. Zbl 1380.37068
Climenhaga, Vaughn; Dolgopyat, Dmitry; Pesin, Yakov
2016
Hadamard-Perron theorems and effective hyperbolicity. Zbl 1364.37066
Climenhaga, Vaughn; Pesin, Yakov
2016
Erratum to: “Scaled entropy for dynamical systems”. Zbl 1382.37014
Zhao, Yun; Pesin, Yakov
2016
Scaled entropy for dynamical systems. Zbl 1360.37048
Zhao, Yun; Pesin, Yakov
2015
$$q$$-entropy for symbolic dynamical systems. Zbl 1417.37083
Zhao, Yun; Pesin, Yakov
2015
On the work of Sarig on countable Markov chains and thermodynamic formalism. Zbl 1351.37150
Pesin, Yakov
2014
Pointwise hyperbolicity implies uniform hyperbolicity. Zbl 1358.37062
Hasselblatt, Boris; Pesin, Yakov; Schmeling, Jörg
2014
Introduction to smooth ergodic theory. Zbl 1336.37001
Barreira, Luis; Pesin, Yakov
2013
A volume preserving diffeomorphism with essential coexistence of zero and nonzero Lyapunov exponents. Zbl 1281.37017
Hu, Huyi; Pesin, Yakov; Talitskaya, Anna
2013
The essential coexistence phenomenon in dynamics. Zbl 1287.37007
Chen, Jianyu; Hu, Huyi; Pesin, Yakov
2013
A volume preserving flow with essential coexistence of zero and non-zero Lyapunov exponents. Zbl 1286.37037
Chen, Jianyu; Hu, Huyi; Pesin, Yakov
2013
Dimension of non-conformal repellers: a survey. Zbl 1201.37026
Chen, Jianyu; Pesin, Yakov
2010
Open problems in the theory of non-uniform hyperbolicity. Zbl 1200.37001
Pesin, Yakov; Climenhaga, Vaughn
2010
An analytical approach to the problem of inverse optimization with additive objective functions: An application to human prehension. Zbl 1205.92049
Terekhov, Alexander V.; Pesin, Yakov B.; Niu, Xun; Latash, Mark L.; Zatsiorsky, Vladimir M.
2010
On the work of Dolgopyat on partial and nonuniform hyperbolicity. Zbl 1202.37029
Pesin, Yakov
2010
Lectures on fractal geometry and dynamical systems. Zbl 1186.37003
Pesin, Yakov; Climenhaga, Vaughn
2009
Equilibrium measures for maps with inducing schemes. Zbl 1159.37007
Pesin, Yakov; Senti, Samuel
2008
Stable ergodicity for partially hyperbolic attractors with negative central exponents. Zbl 1145.37021
Burns, Keith; Dolgopyat, Dmitry; Pesin, Yakov; Pollicott, Mark
2008
Lifting measures to inducing schemes. Zbl 1154.37302
Pesin, Ya. B.; Senti, S.; Zhang, K.
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
2008
Nonuniform hyperbolicity. Dynamics of systems with nonzero Lyapunov exponents. Zbl 1144.37002
Barreira, Luis; Pesin, Yakov
2007
Non-absolutely continuous foliations. Zbl 1137.37014
Hirayama, Michihiro; Pesin, Yakov
2007
Existence and genericity problems for dynamical systems with nonzero Lyapunov exponents. Zbl 1229.37021
Pesin, Ya.
2007
Thermodynamics of inducing schemes and liftability of measures. Zbl 1139.37016
Pesin, Yakov; Zhang, Ke
2007
Partially hyperbolic dynamical systems. Zbl 1130.37355
Hasselblatt, Boris; Pesin, Yakov
2006
Smooth ergodic theory and nonuniformly hyperbolic dynamics. (With an appendix by Omri Sarig). Zbl 1130.37351
Barreira, Luis; Pesin, Yakov
2006
Phase transitions for uniformly expanding maps. Zbl 1101.37021
Pesin, Yakov; Zhang, Ke
2006
Thermodynamical formalism associated with inducing schemes for one-dimensional maps. Zbl 1109.37028
Pesin, Yakov; Senti, Samuel
2005
Dynamics of a discrete Brusselator model: escape to infinity and Julia set. Zbl 1115.37071
Kang, Hunseok; Pesin, Yakov
2005
Lectures on partial hyperbolicity and stable ergodicity. Zbl 1098.37024
Pesin, Yakov
2004
Every compact manifold carries a hyperbolic Bernoulli flow. Zbl 1147.37316
Hu, Huyi; Pesin, Yakov; Talitskaya, Anna
2004
Some physical models described by the reaction-diffusion equation, and coupled map lattices. Zbl 1160.37423
Pesin, Ya. B.; Yurchenko, A. A.
2004
Modern dynamical systems and applications. Dedicated to Anatole Katok on his 60th birthday. Zbl 1051.00012
2004
Partial hyperbolicity, Lyapunov exponents and stable ergodicity. Zbl 1124.37308
Burns, K.; Dolgopyat, D.; Pesin, Ya.
2002
Every compact manifold carries a completely hyperbolic diffeomorphism. Zbl 1046.37015
Dolgopyat, Dmitry; Pesin, Yakov
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
Lyapunov exponents and smooth ergodic theory. Zbl 1195.37002
Barreira, Luis; Pesin, Yakov B.
2001
The multifractal analysis of Birkhoff averages and large deviations. Zbl 0996.37021
Pesin, Yakov; Weiss, Howard
2001
Multifractal analysis of conformal Axiom A flows. Zbl 0992.37023
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
2001
Dynamical systems, ergodic theory and applications. Edited by Ya. G. Sinai. Transl. from the Russian. 2nd, expanded and rev. ed. Zbl 1100.00500
Bunimovich, 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.
2000
Chaos in traveling waves of lattice systems of unbounded media. Zbl 0979.37041
Orendovici, D. R.; Pesin, Ya. B.
2000
Dimension and product structure of hyperbolic measures. Zbl 0977.37011
Barreira, Luis; Pesin, Yakov; Schmeling, Jörg
1999
Dimension theory in dynamical systems: contemporary views and applications. Zbl 0895.58033
Pesin, Yakov B.
1998
Equilibrium measures for coupled map lattices: Existence, uniqueness and finite-dimensional approximations. Zbl 0944.37005
Jiang, Miaohua; Pesin, Yakov B.
1998
A multifractal analysis of equilibrium measures for conformal expanding maps and Moran-like geometric constructions. Zbl 0985.37040
Pesin, Yakov; Weiss, Howard
1997
The multifractal analysis of Gibbs measures: Motivation, mathematical foundation, and examples. Zbl 0933.37020
Pesin, Yakov; Weiss, Howard
1997
On a general concept of multifractality: Multifractal spectra for dimensions, entropies, and Lyapunov exponents. Multifractal rigidity. Zbl 0933.37002
Barreira, Luis; Pesin, Yakov; Schmeling, Jörg
1997
Multifractal spectra and multifractal rigidity for horseshoes. Zbl 0949.37017
Barreira, L.; Pesin, Ya.; Schmeling, J.
1997
On the dimension of deterministic and random Cantor-like sets, symbolic dynamics, and the Eckmann-Ruelle conjecture. Zbl 0878.28006
Pesin, Yakov; Weiss, Howard
1996
On the pointwise dimension of hyperbolic measures: a proof of the Eckmann-Ruelle conjecture. Zbl 0871.58054
Barreira, Luis; Pesin, Yakov; Schmeling, Jörg
1996
On Morse-Smale endomorphisms. Zbl 0841.58036
Brin, M.; Pesin, Ya.
1996
Sinai’s Moscow seminar on dynamical systems. Zbl 0831.00008
1996
Correlation dimension of measures invariant under group actions. Zbl 0833.60008
Pesin, Ya.; Tempelman, A.
1995
On the integrability of intermediate distributions for Anosov diffeomorphisms. Zbl 0824.58037
Jiang, M.; Pesin, Ya B.; de la Llave, R.
1995
On the dimension of deterministic and random Cantor-like sets. Zbl 0834.28004
Pesin, Yakov; Weiss, Howard
1994
On rigorous mathematical definitions of correlation dimension and generalized spectrum for dimensions. Zbl 0916.28006
Pesin, Ya. B.
1993
Travelling waves in lattice models of multi-dimensional and multi- component media. I: General hyperbolic properties. Zbl 0773.76006
Afrajmovich, V.; Pesin, Ya
1993
Traveling waves in lattice models of multidimensional and multicomponent media. II: Ergodic properties and dimension. Zbl 1055.37584
Afraĭmovich, V. S.; Pesin, Ya. B.; Tempelman, A. A.
1993
Dynamical systems with generalized hyperbolic attractors: Hyperbolic, ergodic and topological properties. Zbl 0774.58029
Pesin, Ya. B.
1992
Space-time chaos in chains of weakly interacting hyperbolic mappings. Zbl 0850.70250
Pesin, Ya. B.; Sinaĭ, Ya. G.
1991
Generalized spectrum for the dimension: The approach based on Carathéodory’s construction. Zbl 0752.58017
Pesin, Ya. B.
1991
Hyperbolicity of infinite-dimensional drift systems. Zbl 0765.58024
Afrajmovich, V. S.; Pesin, Ya. B.
1990
Dimension type characteristics for invariant sets of dynamical systems. Zbl 0684.58024
Pesin, Ya. B.
1988
Space-time chaos in the system of weakly interacting hyperbolic systems. Zbl 0727.58031
Pesin, Ya. B.; Sinai, Ya. G.
1988
Dimension of Lorenz type attractors. Zbl 0628.58031
Afrajmovich, V. S.; Pesin, Ya. B.
1987
Ergodic properties and dimensionlike characteristics of strange attractors that are close to hyperbolic. Zbl 0698.58035
Pesin, Ya.
1987
Ergodic theory of smooth dynamical systems. Zbl 0781.58018
Sinai, Ya. G.; Pesin, Ya. B.; Bunimovich, L. A.; Yakobson, M. V.
1985
Topological pressure and the variational principle for noncompact sets. Zbl 0567.54027
Pesin, Ya. B.; Pitskel, B. S.
1984
On the notion of the dimension with respect to a dynamical system. Zbl 0616.58038
Pesin, Ya. B.
1984
Gibbs measures for partially hyperbolic attractors. Zbl 0519.58035
Pesin, Ya. B.; Sinai, Ya. G.
1982
Hyperbolicity and stochasticity of dynamical systems. Zbl 0561.58038
Pesin, Ya. B.; Sinaj, Ya. G.
1981
Geodesic flows with hyperbolic behaviour of the trajectories and objects connected with them. Zbl 0493.58001
Pesin, Ya. B.
1981
Geodesic flows with hyperbolic behavior of the trajectories and objects connected with them. Zbl 0482.58002
Pesin, Ya. B.
1981
Equations for the entropy of a geodesic flow on a compact Riemannian manifold without conjugate points. Zbl 0411.58016
Pesin, Ya. B.
1979
Families of invariant manifolds corresponding to nonzero characteristic exponents. Zbl 0383.58012
Pesin, Ja. B.
1978
Description of $$\pi$$-partition of a diffeomorphism with invariant measure. Zbl 0423.58013
Pesin, Ya. B.
1978
Characteristic Lyapunov exponents and smooth ergodic theory. Zbl 0383.58011
Pesin, Ja. B.
1977
Geodesic flows on closed Riemannian manifolds without focal points. Zbl 0399.58010
Pesin, Ja. B.
1977
Eine Beschreibung der $$\pi$$-Zerlegung eines Diffeomorphismus mit invariantem Maß. Zbl 0357.58009
Pesin, Ja. B.
1977
Ljapunovsche charakteristische Exponenten und die glatte Ergodentheorie. Zbl 0359.58010
Pesin, Ja. B.
1977
Ljapunov characteristic exponents and ergodic properties of smooth dynamical systems with an invariant measure. Zbl 0345.58010
Pesin, Ja. B.
1976
Familien invarianter Mannigfaltigkeiten, die nicht-verschwindenden charakteristischen Exponenten entsprechen. Zbl 0372.58009
Pesin, Ja. B.
1976
Partially hyperbolic dynamical systems. Zbl 0309.58017
Brin, M. I.; Pesin, Ya. B.
1975
Behavior of solutions of a strongly nonlinear differential equation with delay argument. Zbl 0316.34085
Pesin, Ja. B.
1975
Partially hyperbolic dynamical systems. Zbl 0304.58017
Brin, M. I.; Pesin, Ya. B.
1974
On the existence of invariant fiberings for a diffeomorphism of a smooth manifold. Zbl 0286.57017
Pesin, Ja. B.
1974
Lösungsverhalten einer stark nichtlinearen Differentialgleichung mit retardiertem Argument. Zbl 0305.34103
Pesin, Ja. B.
1974
Example of a nonergodic flow with nonzero characteristic numbers. Zbl 0305.58012
Pesin, Ja. B.
1974
Partially hyperbolic dynamical systems. Zbl 0285.58010
Brin, M. I.; Pesin, Ya. B.
1973
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. Neuvième Série 7 Regular and Chaotic Dynamics 7 Communications in Nonlinear Science and Numerical Simulation 6 Mathematical Proceedings of the Cambridge Philosophical Society 6 Annales de l’Institut Fourier 6 Functional Analysis and its Applications 6 Linear Algebra and its Applications 6 Fractals 6 Journal of Difference Equations and Applications 6 Electronic Research Announcements of the American Mathematical Society 6 Nonlinear Dynamics 6 Acta Mathematica Sinica. English Series 6 Qualitative Theory of Dynamical Systems 5 Reviews in Mathematical Physics 5 Memoirs of the American Mathematical Society 5 Results in Mathematics 5 The Journal of Geometric Analysis 5 Celestial Mechanics and Dynamical Astronomy 5 Journal of Nonlinear Science 5 Journal of Mathematical Sciences (New York) 5 Discrete and Continuous Dynamical Systems. 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)

### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.