Damjanović, Danijela (ed.); Hasselblatt, Boris (ed.); Gogolev, Andrey (ed.); Pesin, Yakov (ed.) A vision for dynamics in the 21st century. The legacy of Anatole Katok. Based on a memorial conference, Będlewo, Poland, August 2019. (English) Zbl 07762389 Cambridge: Cambridge University Press (ISBN 978-1-00-927890-4/hbk; 978-1-00-927889-8/ebook). x, 434 p. (2024). MSC: 37-06 37-03 01A70 37Cxx 00B30 00B25 PDFBibTeX XMLCite \textit{D. Damjanović} (ed.) et al., A vision for dynamics in the 21st century. The legacy of Anatole Katok. Based on a memorial conference, Będlewo, Poland, August 2019. Cambridge: Cambridge University Press (2024; Zbl 07762389) Full Text: DOI
Katok, Anatole Katok, Svetlana (ed.); Fayad, Bassam (ed.); Forni, Giovanni (ed.); Hasselblatt, Boris (ed.); Lemańczyk, Mariusz (ed.); Pesin, Yakov (ed.); Hertz, Federico Rodriguez (ed.); Spatzier, Ralf (ed.) The collected works of Anatole Katok. Volume 2. Edited by Svetlana Katok, Bassam Fayad, Giovanni Forni, Boris Hasselblatt, Mariusz Lemańczyk, Yakov Pesin, Federico Rodriguez Hertz and Ralf Spatzier. (English) Zbl 07391704 Singapore: World Scientific (ISBN 978-981-12-3777-5/hbk; 978-981-123-806-2/hbk-set; 978-981-12-3890-1/ebook). lxxv, 2000 p. (2024). MSC: 37-06 37-03 01A75 01A70 PDFBibTeX XMLCite \textit{A. Katok} et al., The collected works of Anatole Katok. Volume 2. Edited by Svetlana Katok, Bassam Fayad, Giovanni Forni, Boris Hasselblatt, Mariusz Lemańczyk, Yakov Pesin, Federico Rodriguez Hertz and Ralf Spatzier. Singapore: World Scientific (2024; Zbl 07391704) Full Text: DOI
Katok, Anatole Katok, Svetlana (ed.); Fayad, Bassam (ed.); Forni, Giovanni (ed.); Hasselblatt, Boris (ed.); Lemańczyk, Mariusz (ed.); Pesin, Yakov (ed.); Hertz, Federico Rodriguez (ed.); Spatzier, Ralf (ed.) The collected works of Anatole Katok. Volume 1. Edited by Svetlana Katok, Bassam Fayad, Giovanni Forni, Boris Hasselblatt, Mariusz Lemańczyk, Yakov Pesin, Federico Rodriguez Hertz and Ralf Spatzier. (English) Zbl 07391703 Singapore: World Scientific (ISBN 978-981-12-3775-1/hbk; 978-981-123-806-2/hbk-set). 1000 p. (2024). MSC: 37-06 37-03 01A75 01A70 PDFBibTeX XMLCite \textit{A. Katok} et al., The collected works of Anatole Katok. Volume 1. Edited by Svetlana Katok, Bassam Fayad, Giovanni Forni, Boris Hasselblatt, Mariusz Lemańczyk, Yakov Pesin, Federico Rodriguez Hertz and Ralf Spatzier. Singapore: World Scientific (2024; Zbl 07391703) Full Text: DOI
Barreira, Luís; Pesin, Yakov Introduction to smooth ergodic theory. 2nd edition. (English) Zbl 1511.37002 Graduate Studies in Mathematics 231. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-7065-4/hbk; 978-1-4704-7307-5/pbk; 978-1-4704-7306-8/ebook). xv, 336 p. (2023). MSC: 37-01 37C40 37Dxx PDFBibTeX XMLCite \textit{L. Barreira} and \textit{Y. Pesin}, Introduction to smooth ergodic theory. 2nd edition. Providence, RI: American Mathematical Society (AMS) (2023; Zbl 1511.37002) Full Text: DOI
Climenhaga, Vaughn; Luzzatto, Stefano; Pesin, Yakov SRB measures and Young towers for surface diffeomorphisms. (English) Zbl 1503.37046 Ann. Henri Poincaré 23, No. 3, 973-1059 (2022). Reviewer: Peng Sun (Beijing) MSC: 37D25 37D05 37C40 37E30 PDFBibTeX XMLCite \textit{V. Climenhaga} et al., Ann. Henri Poincaré 23, No. 3, 973--1059 (2022; Zbl 1503.37046) Full Text: DOI arXiv
Chen, Jianyu; Hu, Huyi; Pesin, Yakov; Zhang, Ke The essential coexistence phenomenon in Hamiltonian dynamics. (English) Zbl 1521.37054 Ergodic Theory Dyn. Syst. 42, No. 2, 592-613 (2022). MSC: 37J06 37J39 37C40 37D20 PDFBibTeX XMLCite \textit{J. Chen} et al., Ergodic Theory Dyn. Syst. 42, No. 2, 592--613 (2022; Zbl 1521.37054) Full Text: DOI arXiv
Kesseböhmer, Marc (ed.); Kombrink, Sabrina (ed.); Pesin, Yakov (ed.); Samuel, Tony (ed.); Schmeling, Jörg (ed.) Preface. Thermodynamic formalism – applications to geometry, number theory and stochastics. (English) Zbl 1477.00067 Stoch. Dyn. 21, No. 3, Article ID 2102001, 5 p. (2021). MSC: 00B25 37-06 11-06 60-06 PDFBibTeX XMLCite \textit{M. Kesseböhmer} (ed.) et al., Stoch. Dyn. 21, No. 3, Article ID 2102001, 5 p. (2021; Zbl 1477.00067) Full Text: DOI
Pesin, Y.; Senti, S.; Zhang, K. Corrigendum to: “Thermodynamics of the Katok map”. (English) Zbl 1469.37024 Ergodic Theory Dyn. Syst. 41, No. 6, 1864-1866 (2021). MSC: 37D35 37D25 37D20 37C05 37E30 PDFBibTeX XMLCite \textit{Y. Pesin} et al., Ergodic Theory Dyn. Syst. 41, No. 6, 1864--1866 (2021; Zbl 1469.37024) Full Text: DOI
Climenhaga, Vaughn; Pesin, Yakov; Zelerowicz, Agnieszka Equilibrium measures for some partially hyperbolic systems. (English) Zbl 1471.37037 J. Mod. Dyn. 16, 155-205 (2020). Reviewer: Miguel Paternain (Montevideo) MSC: 37D35 37C45 37C40 37D30 37D10 PDFBibTeX XMLCite \textit{V. Climenhaga} et al., J. Mod. Dyn. 16, 155--205 (2020; Zbl 1471.37037) Full Text: DOI arXiv
Pesin, Yakov; Senti, Samuel; Shahidi, Farruh Area preserving surface diffeomorphisms with polynomial decay of correlations are ubiquitous. arXiv:2003.08503 Preprint, arXiv:2003.08503 [math.DS] (2020). MSC: 37D25 37D35 37A25 37E30 BibTeX Cite \textit{Y. Pesin} et al., ``Area preserving surface diffeomorphisms with polynomial decay of correlations are ubiquitous'', Preprint, arXiv:2003.08503 [math.DS] (2020) Full Text: arXiv OA License
Cao, Yongluo; Pesin, Yakov; Zhao, Yun Dimension estimates for non-conformal repellers and continuity of sub-additive topological pressure. (English) Zbl 1427.37018 Geom. Funct. Anal. 29, No. 5, 1325-1368 (2019). MSC: 37C45 37C40 37D35 37H15 PDFBibTeX XMLCite \textit{Y. Cao} et al., Geom. Funct. Anal. 29, No. 5, 1325--1368 (2019; Zbl 1427.37018) Full Text: DOI arXiv
Climenhaga, Vaughn; Pesin, Yakov; Zelerowicz, Agnieszka Equilibrium states in dynamical systems via geometric measure theory. (English) Zbl 1430.37036 Bull. Am. Math. Soc., New Ser. 56, No. 4, 569-610 (2019). Reviewer: Armand Azonnahin (São Paulo) MSC: 37D35 37C45 37C40 37D20 PDFBibTeX XMLCite \textit{V. Climenhaga} et al., Bull. Am. Math. Soc., New Ser. 56, No. 4, 569--610 (2019; Zbl 1430.37036) Full Text: DOI arXiv
Pesin, Y.; Senti, S.; Zhang, K. Thermodynamics of the Katok map. (English) Zbl 1412.37043 Ergodic Theory Dyn. Syst. 39, No. 3, 764-794 (2019); corrigendum ibid. 41, No. 6, 1864-1866 (2021). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37D35 37D25 37D20 37C05 37E30 PDFBibTeX XMLCite \textit{Y. Pesin} et al., Ergodic Theory Dyn. Syst. 39, No. 3, 764--794 (2019; Zbl 1412.37043) Full Text: DOI arXiv
Gorodetski, Anton; Pesin, Yakov Path connectedness and entropy density of the space of hyperbolic ergodic measures. (English) Zbl 1385.37042 Katok, Anatole (ed.) et al., Modern theory of dynamical systems. A tribute to Dmitry Victorovich Anosov. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2560-9/pbk; 978-1-4704-4119-7/ebook). Contemporary Mathematics 692, 111-121 (2017). MSC: 37D25 37D35 37A25 37E30 PDFBibTeX XMLCite \textit{A. Gorodetski} and \textit{Y. Pesin}, Contemp. Math. 692, 111--121 (2017; Zbl 1385.37042) Full Text: DOI arXiv Link
Brin, Michael; Pesin, Yakov D. V. Anosov and our road to partial hyperbolicity. (English) Zbl 1385.37043 Katok, Anatole (ed.) et al., Modern theory of dynamical systems. A tribute to Dmitry Victorovich Anosov. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2560-9/pbk; 978-1-4704-4119-7/ebook). Contemporary Mathematics 692, 23-28 (2017). MSC: 37D30 37D25 37D35 PDFBibTeX XMLCite \textit{M. Brin} and \textit{Y. Pesin}, Contemp. Math. 692, 23--28 (2017; Zbl 1385.37043) Full Text: DOI Link
Climenhaga, Vaughn; Pesin, Yakov Building thermodynamics for non-uniformly hyperbolic maps. (English) Zbl 1380.37063 Arnold Math. J. 3, No. 1, 37-82 (2017). Reviewer: Hasan Akin (Gaziantep) MSC: 37D25 37D35 82B26 37B10 PDFBibTeX XMLCite \textit{V. Climenhaga} and \textit{Y. Pesin}, Arnold Math. J. 3, No. 1, 37--82 (2017; Zbl 1380.37063) Full Text: DOI
Katok, Anatole (ed.); Pesin, Yakov (ed.); Rodriguez Hertz, Federico (ed.) Modern theory of dynamical systems. A tribute to Dmitry Victorovich Anosov. (English) Zbl 1370.37002 Contemporary Mathematics 692. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2560-9/pbk; 978-1-4704-4119-7/ebook). ix, 320 p. (2017). MSC: 37-06 00B15 00B30 01A70 01A60 37Bxx 37Cxx 37Dxx 37Exx PDFBibTeX XMLCite \textit{A. Katok} (ed.) et al., Modern theory of dynamical systems. A tribute to Dmitry Victorovich Anosov. Providence, RI: American Mathematical Society (AMS) (2017; Zbl 1370.37002) Full Text: DOI
Climenhaga, Vaughn; Luzzatto, Stefano; Pesin, Yakov The geometric approach for constructing Sinai-Ruelle-Bowen measures. (English) Zbl 1364.37074 J. Stat. Phys. 166, No. 3-4, 467-493 (2017). MSC: 37D25 37A25 37C70 37C40 37C30 PDFBibTeX XMLCite \textit{V. Climenhaga} et al., J. Stat. Phys. 166, No. 3--4, 467--493 (2017; Zbl 1364.37074) Full Text: DOI arXiv
Climenhaga, Vaughn; Dolgopyat, Dmitry; Pesin, Yakov Non-stationary non-uniform hyperbolicity: SRB measures for dissipative maps. (English) Zbl 1380.37068 Commun. Math. Phys. 346, No. 2, 553-602 (2016). Reviewer: Kazuhiro Sakai (Utsunomiya) MSC: 37D35 37C40 37D30 37D20 PDFBibTeX XMLCite \textit{V. Climenhaga} et al., Commun. Math. Phys. 346, No. 2, 553--602 (2016; Zbl 1380.37068) Full Text: DOI arXiv
Pesin, Y.; Senti, S.; Zhang, K. Thermodynamics of towers of hyperbolic type. (English) Zbl 1366.37080 Trans. Am. Math. Soc. 368, No. 12, 8519-8552 (2016). MSC: 37D25 37D35 37E30 37E35 37A50 PDFBibTeX XMLCite \textit{Y. Pesin} et al., Trans. Am. Math. Soc. 368, No. 12, 8519--8552 (2016; Zbl 1366.37080) Full Text: DOI arXiv
Climenhaga, Vaughn; Pesin, Yakov Hadamard-Perron theorems and effective hyperbolicity. (English) Zbl 1364.37066 Ergodic Theory Dyn. Syst. 36, No. 1, 23-63 (2016). Reviewer: Gheorghe Tigan (Timisoara) MSC: 37D05 37D10 37D25 37D30 PDFBibTeX XMLCite \textit{V. Climenhaga} and \textit{Y. Pesin}, Ergodic Theory Dyn. Syst. 36, No. 1, 23--63 (2016; Zbl 1364.37066) Full Text: DOI arXiv
Zhao, Yun; Pesin, Yakov \(q\)-entropy for symbolic dynamical systems. (English) Zbl 1417.37083 J. Phys. A, Math. Theor. 48, No. 49, Article ID 494002, 17 p. (2015). MSC: 37B40 28A78 37C45 37B10 PDFBibTeX XMLCite \textit{Y. Zhao} and \textit{Y. Pesin}, J. Phys. A, Math. Theor. 48, No. 49, Article ID 494002, 17 p. (2015; Zbl 1417.37083) Full Text: DOI
Dolgopyat, Dmitry (ed.); Pesin, Yakov B. (ed.); Pollicott, Mark (ed.); Stoyanov, Luchezar N. (ed.) Hyperbolic dynamics, fluctuations and large deviations. Special semester on hyperbolic dynamics, large deviations and fluctuations, January – June 2013, Centre Interfacultaire Bernoulli, École Polytechnique Fédérale de Lausanne, Lausanne, Switzerland. Proceedings. (English) Zbl 1314.37007 Proceedings of Symposia in Pure Mathematics 89. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1112-1/hbk; 978-1-4704-2266-0/ebook). viii, 339 p. (2015). MSC: 37-06 37A60 37D35 60F10 00B25 PDFBibTeX XMLCite \textit{D. Dolgopyat} (ed.) et al., Hyperbolic dynamics, fluctuations and large deviations. Special semester on hyperbolic dynamics, large deviations and fluctuations, January -- June 2013, Centre Interfacultaire Bernoulli, École Polytechnique Fédérale de Lausanne, Lausanne, Switzerland. Proceedings. Providence, RI: American Mathematical Society (AMS) (2015; Zbl 1314.37007) Full Text: DOI
Pesin, Yakov On the work of Sarig on countable Markov chains and thermodynamic formalism. (English) Zbl 1351.37150 J. Mod. Dyn. 8, No. 1, 1-14 (2014). MSC: 37D40 37D25 82C05 37D35 60J10 PDFBibTeX XMLCite \textit{Y. Pesin}, J. Mod. Dyn. 8, No. 1, 1--14 (2014; Zbl 1351.37150) Full Text: DOI arXiv
Chen, Jianyu; Hu, Huyi; Pesin, Yakov The essential coexistence phenomenon in dynamics. (English) Zbl 1287.37007 Dyn. Syst. 28, No. 3, 453-472 (2013). MSC: 37A25 37C40 37D40 PDFBibTeX XMLCite \textit{J. Chen} et al., Dyn. Syst. 28, No. 3, 453--472 (2013; Zbl 1287.37007) Full Text: DOI
Barreira, Luis; Pesin, Yakov Introduction to smooth ergodic theory. (English) Zbl 1336.37001 Graduate Studies in Mathematics 148. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9853-6/hbk). ix, 277 p. (2013). Reviewer: Xueting Tian (Shanghai) MSC: 37-01 37D25 37C45 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{Y. Pesin}, Introduction to smooth ergodic theory. Providence, RI: American Mathematical Society (AMS) (2013; Zbl 1336.37001)
Pesin, Yakov On the work of Dolgopyat on partial and nonuniform hyperbolicity. (English) Zbl 1202.37029 J. Mod. Dyn. 4, No. 2, 227-241 (2010). Reviewer: Alexander Kachurovskij (Novosibirsk) MSC: 37D25 37-02 PDFBibTeX XMLCite \textit{Y. Pesin}, J. Mod. Dyn. 4, No. 2, 227--241 (2010; Zbl 1202.37029) Full Text: DOI
Pesin, Yakov; Climenhaga, Vaughn Open problems in the theory of non-uniform hyperbolicity. (English) Zbl 1200.37001 Discrete Contin. Dyn. Syst. 27, No. 2, 589-607 (2010). Reviewer: Kazuhiro Sakai (Utsunomiya) MSC: 37-02 37D25 37C20 37A10 37D30 PDFBibTeX XMLCite \textit{Y. Pesin} and \textit{V. Climenhaga}, Discrete Contin. Dyn. Syst. 27, No. 2, 589--607 (2010; Zbl 1200.37001) Full Text: DOI arXiv
Chen, Jianyu; Pesin, Yakov Dimension of non-conformal repellers: a survey. (English) Zbl 1201.37026 Nonlinearity 23, No. 4, R93-R114 (2010). Reviewer: Yuri Kifer (Jerusalem) MSC: 37C45 37D35 PDFBibTeX XMLCite \textit{J. Chen} and \textit{Y. Pesin}, Nonlinearity 23, No. 4, R93--R114 (2010; Zbl 1201.37026) Full Text: DOI
Pesin, Yakov; Climenhaga, Vaughn Lectures on fractal geometry and dynamical systems. (English) Zbl 1186.37003 Student Mathematical Library 52. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4889-0/pbk). xvi, 314 p. (2009). Reviewer: Athanase Papadopoulos (Strasbourg) MSC: 37-01 37C45 37B10 37D20 37E05 PDFBibTeX XMLCite \textit{Y. Pesin} and \textit{V. Climenhaga}, Lectures on fractal geometry and dynamical systems. Providence, RI: American Mathematical Society (AMS) (2009; Zbl 1186.37003)
Pesin, Yakov; Senti, Samuel Equilibrium measures for maps with inducing schemes. (English) Zbl 1159.37007 J. Mod. Dyn. 2, No. 3, 397-430 (2008). Reviewer: Georgy Osipenko (St. Peterburg) MSC: 37D35 37D25 37E05 37E10 PDFBibTeX XMLCite \textit{Y. Pesin} and \textit{S. Senti}, J. Mod. Dyn. 2, No. 3, 397--430 (2008; Zbl 1159.37007) Full Text: DOI arXiv
Burns, Keith (ed.); Dolgopyat, Dmitry (ed.); Pesin, Yakov (ed.) 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. (English) Zbl 1147.37002 Contemporary Mathematics 469. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4286-7/pbk). xv, 340 p. (2008). MSC: 37-06 00B25 34-06 60-06 00B30 PDFBibTeX XMLCite \textit{K. Burns} (ed.) et al., 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. Providence, RI: American Mathematical Society (AMS) (2008; Zbl 1147.37002) Full Text: DOI
Burns, Keith; Dolgopyat, Dmitry; Pesin, Yakov; Pollicott, Mark Stable ergodicity for partially hyperbolic attractors with negative central exponents. (English) Zbl 1145.37021 J. Mod. Dyn. 2, No. 1, 63-81 (2008). Reviewer: Carlos Vasquez (Valparaiso) MSC: 37D30 37A25 37B25 PDFBibTeX XMLCite \textit{K. Burns} et al., J. Mod. Dyn. 2, No. 1, 63--81 (2008; Zbl 1145.37021) Full Text: DOI
Pesin, Ya. Existence and genericity problems for dynamical systems with nonzero Lyapunov exponents. (English) Zbl 1229.37021 Regul. Chaotic Dyn. 12, No. 5, 476-489 (2007). MSC: 37D25 37D20 37D30 37-02 PDFBibTeX XMLCite \textit{Ya. Pesin}, Regul. Chaotic Dyn. 12, No. 5, 476--489 (2007; Zbl 1229.37021) Full Text: DOI
Pesin, Yakov; Zhang, Ke Thermodynamics of inducing schemes and liftability of measures. (English) Zbl 1139.37016 Forni, Giovanni (ed.) et al., Partially hyperbolic dynamics, laminations, and Teichmüller flow. Selected papers of the workshop, Toronto, Ontario, Canada, January 2006. Providence, RI: American Mathematical Society (AMS); Toronto: The Fields Institute for Research in Mathematical Sciences (ISBN 978-0-8218-4274-4/hbk). Fields Institute Communications 51, 289-305 (2007). MSC: 37D25 37D35 37E05 37E10 PDFBibTeX XMLCite \textit{Y. Pesin} and \textit{K. Zhang}, Fields Inst. Commun. 51, 289--305 (2007; Zbl 1139.37016)
Barreira, Luis; Pesin, Yakov Nonuniform hyperbolicity. Dynamics of systems with nonzero Lyapunov exponents. (English) Zbl 1144.37002 Encyclopedia of Mathematics and its Applications 115. Cambridge: Cambridge University Press (ISBN 978-0-521-83258-8/hbk). xiv, 513 p. (2007). Reviewer: Georgy Osipenko (St. Peterburg) MSC: 37-02 37D25 37A30 37D10 37A20 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{Y. Pesin}, Nonuniform hyperbolicity. Dynamics of systems with nonzero Lyapunov exponents. Cambridge: Cambridge University Press (2007; Zbl 1144.37002)
Barreira, Luis; Pesin, Yakov [Sarig, Omri] Smooth ergodic theory and nonuniformly hyperbolic dynamics. (With an appendix by Omri Sarig). (English) Zbl 1130.37351 Hasselblatt, B.(ed.) et al., Handbook of dynamical systems. Volume 1B. Amsterdam: Elsevier (ISBN 0-444-52055-4/hbk). 57-263 (2006). MSC: 37D25 37-02 37C40 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{Y. Pesin}, in: Handbook of dynamical systems. Volume 1B. Amsterdam: Elsevier. 57--263 (2006; Zbl 1130.37351)
Hasselblatt, Boris; Pesin, Yakov Partially hyperbolic dynamical systems. (English) Zbl 1130.37355 Hasselblatt, B.(ed.) et al., Handbook of dynamical systems. Volume 1B. Amsterdam: Elsevier (ISBN 0-444-52055-4/hbk). 1-55 (2006). Reviewer: Carlos Arnaldo Morales Rojas (MR 2006k:37070) MSC: 37D30 37C40 PDFBibTeX XMLCite \textit{B. Hasselblatt} and \textit{Y. Pesin}, in: Handbook of dynamical systems. Volume 1B. Amsterdam: Elsevier. 1--55 (2006; Zbl 1130.37355)
Pesin, Yakov; Zhang, Ke Phase transitions for uniformly expanding maps. (English) Zbl 1101.37021 J. Stat. Phys. 122, No. 6, 1095-1110 (2006). Reviewer: Sergei Yu. Pilyugin (St. Petersburg) MSC: 37D20 37D35 37C40 37A05 37E05 37E10 PDFBibTeX XMLCite \textit{Y. Pesin} and \textit{K. Zhang}, J. Stat. Phys. 122, No. 6, 1095--1110 (2006; Zbl 1101.37021) Full Text: DOI
Pesin, Yakov; Senti, Samuel Thermodynamical formalism associated with inducing schemes for one-dimensional maps. (English) Zbl 1109.37028 Mosc. Math. J. 5, No. 3, 669-678 (2005). MSC: 37D25 37D35 37E05 37E10 PDFBibTeX XMLCite \textit{Y. Pesin} and \textit{S. Senti}, Mosc. Math. J. 5, No. 3, 669--678 (2005; Zbl 1109.37028) Full Text: arXiv
Kang, Hunseok; Pesin, Yakov Dynamics of a discrete Brusselator model: escape to infinity and Julia set. (English) Zbl 1115.37071 Milan J. Math. 73, 1-17 (2005). Reviewer: Yuri V. Rogovchenko (Kalmar) MSC: 37N25 35K57 37E99 37L99 PDFBibTeX XMLCite \textit{H. Kang} and \textit{Y. Pesin}, Milan J. Math. 73, 1--17 (2005; Zbl 1115.37071) Full Text: DOI
Hu, Huyi; Pesin, Yakov; Talitskaya, Anna Every compact manifold carries a hyperbolic Bernoulli flow. (English) Zbl 1147.37316 Brin, Michael (ed.) et al., Modern dynamical systems and applications. Dedicated to Anatole Katok on his 60th birthday. Cambridge: Cambridge University Press (ISBN 0-521-84073-2/hbk). 347-358 (2004). MSC: 37D20 37A05 PDFBibTeX XMLCite \textit{H. Hu} et al., in: Modern dynamical systems and applications. Dedicated to Anatole Katok on his 60th birthday. Cambridge: Cambridge University Press. 347--358 (2004; Zbl 1147.37316)
Pesin, Ya. B.; Yurchenko, A. A. Some physical models described by the reaction-diffusion equation, and coupled map lattices. (English. Russian original) Zbl 1160.37423 Russ. Math. Surv. 59, No. 3, 481-513 (2004); translation from Usp. Mat. Nauk 59, No. 3, 81-114 (2004). MSC: 37L60 35K57 37D15 37D20 37D25 37E05 37N20 92E20 PDFBibTeX XMLCite \textit{Ya. B. Pesin} and \textit{A. A. Yurchenko}, Russ. Math. Surv. 59, No. 3, 481--513 (2004; Zbl 1160.37423); translation from Usp. Mat. Nauk 59, No. 3, 81--114 (2004) Full Text: DOI
Brin, Michael (ed.); Hasselblatt, Boris (ed.); Pesin, Yakov (ed.) Modern dynamical systems and applications. Dedicated to Anatole Katok on his 60th birthday. (English) Zbl 1051.00012 Cambridge: Cambridge University Press (ISBN 0-521-84073-2/hbk). xiii, 458 p. (2004). MSC: 00B30 37-06 22-06 37Dxx PDFBibTeX XMLCite \textit{M. Brin} (ed.) et al., Modern dynamical systems and applications. Dedicated to Anatole Katok on his 60th birthday. Cambridge: Cambridge University Press (2004; Zbl 1051.00012)
Pesin, Yakov Lectures on partial hyperbolicity and stable ergodicity. (English) Zbl 1098.37024 Zurich Lectures in Advanced Mathematics. Zürich: European Mathematical Society (EMS) (ISBN 3-03719-003-5/pbk). vi, 122 p. (2004). Reviewer: Jan Andres (Olomouc) MSC: 37Dxx 37-02 37D30 PDFBibTeX XMLCite \textit{Y. Pesin}, Lectures on partial hyperbolicity and stable ergodicity. Zürich: European Mathematical Society (EMS) (2004; Zbl 1098.37024) Full Text: DOI Link
Pesin, Yakov Fractals and dynamics. (English) Zbl 1103.28003 Katok, Svetlana (ed.) et al., MASS selecta: teaching and learning advanced undergraduate mathematics. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3363-4/hbk). 219-234 (2003). Reviewer: Rosanna Iembo (Scafati) MSC: 28A78 37C45 28A80 37D20 PDFBibTeX XMLCite \textit{Y. Pesin}, in: MASS selecta: teaching and learning advanced undergraduate mathematics. Providence, RI: American Mathematical Society (AMS). 219--234 (2003; Zbl 1103.28003)
Burns, K.; Dolgopyat, D.; Pesin, Ya. Partial hyperbolicity, Lyapunov exponents and stable ergodicity. (English) Zbl 1124.37308 J. Stat. Phys. 108, No. 5-6, 927-942 (2002). MSC: 37D30 37C20 37C40 PDFBibTeX XMLCite \textit{K. Burns} et al., J. Stat. Phys. 108, No. 5--6, 927--942 (2002; Zbl 1124.37308) Full Text: DOI
Dolgopyat, Dmitry; Pesin, Yakov Every compact manifold carries a completely hyperbolic diffeomorphism. (English) Zbl 1046.37015 Ergodic Theory Dyn. Syst. 22, No. 2, 409-435 (2002). Reviewer: Anne Broise-Alamichel (Orsay) MSC: 37D25 37C40 34D08 PDFBibTeX XMLCite \textit{D. Dolgopyat} and \textit{Y. Pesin}, Ergodic Theory Dyn. Syst. 22, No. 2, 409--435 (2002; Zbl 1046.37015) Full Text: DOI
Barreira, L.; Pesin, Ya. [Brin, M.; Dolgopyat, D.; Hu, H.] Lectures on Lyapunov exponents and smooth ergodic theory. (With two appendices by M. Brin, D. Dolgopyat, H. Hu and Ya. Pesin). (English) Zbl 0996.37001 Katok, Anatole (ed.) et al., Smooth ergodic theory and its applications. Proceedings of the AMS summer research institute, Seattle, WA, USA, July 26-August 13, 1999. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 69, 3-106 (2001). Reviewer: Sergei Yu.Pilyugin (St.Peterburg) MSC: 37-02 37D25 37C40 37A30 37D40 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{Ya. Pesin}, Proc. Symp. Pure Math. 69, 3--106 (2001; Zbl 0996.37001)
Pesin, Yakov; Weiss, Howard The multifractal analysis of Birkhoff averages and large deviations. (English) Zbl 0996.37021 Broer, Henk W. (ed.) et al., Global analysis of dynamical systems. Festschrift dedicated to Floris Takens for his 60th birthday. Bristol: Institute of Physics Publishing. 419-431 (2001). Reviewer: Bolis Basit (Clayton) MSC: 37C45 37A30 60F10 37A55 PDFBibTeX XMLCite \textit{Y. Pesin} and \textit{H. Weiss}, in: Global analysis of dynamical systems. Festschrift dedicated to Floris Takens for his 60th birthday. Bristol: Institute of Physics Publishing. 419--431 (2001; Zbl 0996.37021)
Barreira, Luis; Pesin, Yakov B. Lyapunov exponents and smooth ergodic theory. (English) Zbl 1195.37002 University Lecture Series 23. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-2921-1/pbk). xii, 151 p. (2001). MSC: 37-02 37D25 37C40 37D40 37A30 PDFBibTeX XMLCite \textit{L. Barreira} and \textit{Y. B. Pesin}, Lyapunov exponents and smooth ergodic theory. Providence, RI: American Mathematical Society (AMS) (2001; Zbl 1195.37002)
Katok, Anatole (ed.); de la Llave, Rafael (ed.); Pesin, Yakov (ed.); Weiss, Howard (ed.) Smooth ergodic theory and its applications. Proceedings of the AMS summer research institute, Seattle, WA, USA, July 26–August 13, 1999. (English) Zbl 0973.00044 Proceedings of Symposia in Pure Mathematics. 69. Providence, RI: American Mathematical Society (AMS). x, 881 p. (2001). MSC: 00B25 37-06 37Axx PDFBibTeX XMLCite \textit{A. Katok} (ed.) et al., Smooth ergodic theory and its applications. Proceedings of the AMS summer research institute, Seattle, WA, USA, July 26--August 13, 1999. Providence, RI: American Mathematical Society (AMS) (2001; Zbl 0973.00044)
Pesin, Ya. B.; Sadovskaya, V. Multifractal analysis of conformal Axiom A flows. (English) Zbl 0992.37023 Commun. Math. Phys. 216, No. 2, 277-312 (2001). Reviewer: Messoud Efendiev (Berlin) MSC: 37D20 28A80 28A78 37C45 53C22 PDFBibTeX XMLCite \textit{Ya. B. Pesin} and \textit{V. Sadovskaya}, Commun. Math. Phys. 216, No. 2, 277--312 (2001; Zbl 0992.37023) Full Text: DOI
Pesin, Ya. B. General theory of smooth hyperbolic dynamical systems. 2nd, expanded and rev. ed. (English) Zbl 1417.37027 Bunimovich, L. A. et al., Dynamical systems, ergodic theory and applications. Edited by Ya. G. Sinai. Transl. from the Russian. Encyclopaedia of Mathematical Sciences, 100. Mathematical Physics 1. Berlin: Springer. 113-191 (2000). MSC: 37-02 37Dxx 37B40 PDFBibTeX XMLCite \textit{Ya. B. Pesin}, in: Dynamical systems, ergodic theory and applications. Edited by Ya. G. Sinai. Transl. from the Russian. Berlin: Springer. 113--191 (2000; Zbl 1417.37027)
Pesin, Ya. B. To the memory of Radu Orendovici. (English) Zbl 1196.37119 Gambaudo, Jean-Marc (ed.) et al., Dynamical systems. From crystal to chaos. Proceedings of the conference in honor of Gerard Rauzy on his 60th birthday, Luminy-Marseille, France, July 6–10, 1998. Singapore: World Scientific (ISBN 981-02-4217-4/hbk). 85-88 (2000). MSC: 37L60 37-02 01A70 PDFBibTeX XMLCite \textit{Ya. B. Pesin}, in: Dynamical systems. From crystal to chaos. Proceedings of the conference in honor of Gerard Rauzy on his 60th birthday, Luminy-Marseille, France, July 6--10, 1998. Singapore: World Scientific. 85--88 (2000; Zbl 1196.37119)
Orendovici, D. R.; Pesin, Ya. B. Chaos in traveling waves of lattice systems of unbounded media. (English) Zbl 0979.37041 Doedel, Eusebius (ed.) et al., Numerical methods for bifurcation problems and large-scale dynamical systems. Based on two workshops held as part of the 1997-1998 IMA academic year on emerging applications of dynamical systems. New York, NY: Springer. IMA Vol. Math. Appl. 119, 327-358 (2000). Reviewer: Jens Rademacher (Berlin) MSC: 37L60 35K57 35Q99 37D15 37D45 PDFBibTeX XMLCite \textit{D. R. Orendovici} and \textit{Ya. B. Pesin}, IMA Vol. Math. Appl. 119, 327--358 (2000; Zbl 0979.37041)
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. Dynamical systems, ergodic theory and applications. Edited by Ya. G. Sinai. Transl. from the Russian. 2nd, expanded and rev. ed. (English) Zbl 1100.00500 Encyclopaedia of Mathematical Sciences, 100. Mathematical Physics 1. Berlin: Springer (ISBN 3-540-66316-9/hbk). x, 459 p. (2000). MSC: 00B15 37-06 82-06 PDFBibTeX XMLCite \textit{L. A. Bunimovich} et al., Dynamical systems, ergodic theory and applications. Edited by Ya. G. Sinai. Transl. from the Russian. 2nd, expanded and rev. ed. Berlin: Springer (2000; Zbl 1100.00500)
Pesin, Yakov B. Entropy and dimension families associated with equilibrium measures for hyperbolic dynamical systems. (English) Zbl 0959.37022 Bandt, Christoph (ed.) et al., Fractal geometry and stochastics II. Proceedings of the 2nd conference, Greifswald/ Koserow, Germany, August 28-September 2, 1998. Basel: Birkhäuser. Prog. Probab. 46, 209-223 (2000). Reviewer: Peter Raith (Wien) MSC: 37D20 37A35 37B99 37C35 37C40 28B20 PDFBibTeX XMLCite \textit{Y. B. Pesin}, Prog. Probab. 46, 209--223 (2000; Zbl 0959.37022)
Barreira, Luis; Pesin, Yakov; Schmeling, Jörg Dimension and product structure of hyperbolic measures. (English) Zbl 0977.37011 Ann. Math. (2) 149, No. 3, 755-783 (1999). Reviewer: Michael L.Blank (Moskva) MSC: 37C45 37D20 PDFBibTeX XMLCite \textit{L. Barreira} et al., Ann. Math. (2) 149, No. 3, 755--783 (1999; Zbl 0977.37011) Full Text: DOI arXiv EuDML Link
Pesin, Yakov B. Dimension theory in dynamical systems: contemporary views and applications. (English) Zbl 0895.58033 Chicago Lectures in Mathematics. Chicago: The University of Chicago Press. xi, 304 p. (1998). Reviewer: V.Jiménez López (Murcia) MSC: 37A99 28D05 28A80 54H20 37B99 28D20 37D45 54F45 37-02 28-02 PDFBibTeX XMLCite \textit{Y. B. Pesin}, Dimension theory in dynamical systems: contemporary views and applications. Chicago: The University of Chicago Press (1998; Zbl 0895.58033)
Pesin, Yakov (ed.); Shlesinger, Michael (ed.); Sinai, Yakov (ed.); Zaslavsky, George (ed.) Focus issue: Self-similarity and renormalization in chaotic dynamics. (English) Zbl 0935.00015 Chaos 7, No. 1, 186 p. (1997). MSC: 00B15 37-06 PDFBibTeX XMLCite \textit{Y. Pesin} (ed.) et al., Chaos 7, No. 1, 186~p. (1997; Zbl 0935.00015)
Barreira, L.; Pesin, Ya.; Schmeling, J. Multifractal spectra and multifractal rigidity for horseshoes. (English) Zbl 0949.37017 J. Dyn. Control Syst. 3, No. 1, 33-49 (1997). MSC: 37D45 37C70 PDFBibTeX XMLCite \textit{L. Barreira} et al., J. Dyn. Control Syst. 3, No. 1, 33--49 (1997; Zbl 0949.37017) Full Text: DOI
Pesin, Yakov; Weiss, Howard The multifractal analysis of Gibbs measures: Motivation, mathematical foundation, and examples. (English) Zbl 0933.37020 Chaos 7, No. 1, 89-106 (1997). MSC: 37D25 37A60 PDFBibTeX XMLCite \textit{Y. Pesin} and \textit{H. Weiss}, Chaos 7, No. 1, 89--106 (1997; Zbl 0933.37020) Full Text: DOI Link
Barreira, Luis; Pesin, Yakov; Schmeling, Jörg On a general concept of multifractality: Multifractal spectra for dimensions, entropies, and Lyapunov exponents. Multifractal rigidity. (English) Zbl 0933.37002 Chaos 7, No. 1, 27-38 (1997). MSC: 37A30 37D99 37A25 37D45 PDFBibTeX XMLCite \textit{L. Barreira} et al., Chaos 7, No. 1, 27--38 (1997; Zbl 0933.37002) Full Text: DOI Link
Pesin, Yakov; Weiss, Howard A multifractal analysis of equilibrium measures for conformal expanding maps and Moran-like geometric constructions. (English) Zbl 0985.37040 J. Stat. Phys. 86, No. 1-2, 233-275 (1997). MSC: 37F15 28A78 37F35 37C45 37A35 28A80 PDFBibTeX XMLCite \textit{Y. Pesin} and \textit{H. Weiss}, J. Stat. Phys. 86, No. 1--2, 233--275 (1997; Zbl 0985.37040) Full Text: DOI
Bunimovich, L. A. (ed.); Gurevich, B. M. (ed.); Pesin, Ya. B. (ed.) Sinai’s Moscow seminar on dynamical systems. (English) Zbl 0831.00008 Translations. Series 2. American Mathematical Society (AMS). Advances in the Mathematical Sciences. 171(28). Providence, RI: American Mathematical Society (AMS). xi, 247 p. (1996). MSC: 00B15 37Cxx 58-06 PDFBibTeX XMLCite \textit{L. A. Bunimovich} (ed.) et al., Sinai's Moscow seminar on dynamical systems. Providence, RI: American Mathematical Society (1996; Zbl 0831.00008)
Pesin, Yakov; Weiss, Howard On the dimension of deterministic and random Cantor-like sets, symbolic dynamics, and the Eckmann-Ruelle conjecture. (English) Zbl 0878.28006 Commun. Math. Phys. 182, No. 1, 105-153 (1996). Reviewer: H.Haase (Greifswald) MSC: 28A80 28A78 37E99 PDFBibTeX XMLCite \textit{Y. Pesin} and \textit{H. Weiss}, Commun. Math. Phys. 182, No. 1, 105--153 (1996; Zbl 0878.28006) Full Text: DOI
Jiang, M.; Pesin, Ya B.; de la Llave, R. On the integrability of intermediate distributions for Anosov diffeomorphisms. (English) Zbl 0824.58037 Ergodic Theory Dyn. Syst. 15, No. 2, 317-331 (1995). MSC: 37D99 37C85 54H20 PDFBibTeX XMLCite \textit{M. Jiang} et al., Ergodic Theory Dyn. Syst. 15, No. 2, 317--331 (1995; Zbl 0824.58037) Full Text: DOI
Afraĭmovich, V. S.; Pesin, Ya. B.; Tempelman, A. A. Traveling waves in lattice models of multidimensional and multicomponent media. II: Ergodic properties and dimension. (English) Zbl 1055.37584 Chaos 3, No. 2, 233-241 (1993). MSC: 37L60 35K55 35Q99 37D05 76E99 76F20 82C20 37D45 PDFBibTeX XMLCite \textit{V. S. Afraĭmovich} et al., Chaos 3, No. 2, 233--241 (1993; Zbl 1055.37584) Full Text: DOI
Pesin, Ya. B. Dynamical systems with generalized hyperbolic attractors: Hyperbolic, ergodic and topological properties. (English) Zbl 0774.58029 Ergodic Theory Dyn. Syst. 12, No. 1, 123-151 (1992). Reviewer: G.V.Khmelevskaja-Plotnikova (Namur) MSC: 37C70 37D99 37A99 PDFBibTeX XMLCite \textit{Ya. B. Pesin}, Ergodic Theory Dyn. Syst. 12, No. 1, 123--151 (1992; Zbl 0774.58029) Full Text: DOI
Afrajmovich, V. S.; Pesin, Ya. B. Hyperbolicity of infinite-dimensional drift systems. (English) Zbl 0765.58024 Nonlinearity 3, No. 1, 1-19 (1990). Reviewer: I.Grosu (Iaşi) MSC: 37D99 37C75 PDFBibTeX XMLCite \textit{V. S. Afrajmovich} and \textit{Ya. B. Pesin}, Nonlinearity 3, No. 1, 1--19 (1990; Zbl 0765.58024) Full Text: DOI
Pesin, Ya. B.; Sinai, Ya. G. Space-time chaos in the system of weakly interacting hyperbolic systems. (English) Zbl 0727.58031 J. Geom. Phys. 5, No. 3, 483-492 (1988). Reviewer: G.Popov (Sofia) MSC: 37D99 37A99 35K57 82C99 PDFBibTeX XMLCite \textit{Ya. B. Pesin} and \textit{Ya. G. Sinai}, J. Geom. Phys. 5, No. 3, 483--492 (1988; Zbl 0727.58031) Full Text: DOI
Pesin, Ya. B.; Sinaj, Ya. G. On stable manifolds for class of two-dimensional diffeomorphisms. (English) Zbl 0665.58016 Topology and geometry, Rohlin Semin. 1984-1986, Lect. Notes Math. 1346, 113-125 (1988). Reviewer: G.Jetschke MSC: 37B99 37D99 PDFBibTeX XML
Afrajmovich, V. S.; Pesin, Ya. B. Dimension of Lorenz type attractors. (English) Zbl 0628.58031 Sov. Sci. Rev., Sect. C, Math. Phys. Rev. 6, 169-241 (1987). Reviewer: I.Gumowski MSC: 37C70 37D45 PDFBibTeX XMLCite \textit{V. S. Afrajmovich} and \textit{Ya. B. Pesin}, Sov. Sci. Rev., Sect. C 6, 169--241 (1987; Zbl 0628.58031)
Sinai, Ya. G.; Pesin, Ya. B.; Bunimovich, L. A.; Yakobson, M. V. Ergodic theory of smooth dynamical systems. (English. Russian original) Zbl 0781.58018 Dynamical systems. II. Ergodic theory with applications to dynamical systems and statistical mechanics. Encycl. Math. Sci. 2, 99-206 (1989); translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Fundam. Napravleniya 2, 113-231 (1985). MSC: 37C40 37D20 37D50 37J40 37C70 37D45 37F50 PDFBibTeX XMLCite \textit{Ya. G. Sinai} et al., Encycl. Math. Sci. 2, 1 (1985; Zbl 0781.58018); translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Fundam. Napravleniya 2, 113--231 (1985)
Pesin, Ya. B. On the notion of the dimension with respect to a dynamical system. (English) Zbl 0616.58038 Ergodic Theory Dyn. Syst. 4, 405-420 (1984). MSC: 37D99 58C35 PDFBibTeX XMLCite \textit{Ya. B. Pesin}, Ergodic Theory Dyn. Syst. 4, 405--420 (1984; Zbl 0616.58038) Full Text: DOI
Afrajmovich, V. S.; Pesin, Ya. B. An estimate of the Hausdorff dimension of a basic set in a neighbourhood of a homoclinic trajectory. (English. Russian original) Zbl 0551.58026 Russ. Math. Surv. 39, No. 2, 137-138 (1984); translation from Usp. Mat. Nauk 39, No. 2(236), 135-136 (1984). Reviewer: I.U.Bronshtejn MSC: 37D99 37G99 PDFBibTeX XMLCite \textit{V. S. Afrajmovich} and \textit{Ya. B. Pesin}, Russ. Math. Surv. 39, No. 2, 137--138 (1984; Zbl 0551.58026); translation from Usp. Mat. Nauk 39, No. 2(236), 135--136 (1984) Full Text: DOI
Pesin, Ya. B. A formula for the Hausdorff measure of a two-dimensional hyperbolic attractor. (English. Russian original) Zbl 0524.58028 Funct. Anal. Appl. 16, 313-315 (1983); translation from Funkts. Anal. Prilozh. 16, No. 4, 82-83 (1982). MSC: 37C70 11K55 PDFBibTeX XMLCite \textit{Ya. B. Pesin}, Funct. Anal. Appl. 16, 313--315 (1983; Zbl 0524.58028); translation from Funkts. Anal. Prilozh. 16, No. 4, 82--83 (1982) Full Text: DOI
Pesin, Ya. B. Dimension-like characteristics of generalized-hyperbolic attractors. (English. Russian original) Zbl 0745.58033 Sel. Math. Sov. 9, No. 4, 371-385 (1990); translation of an unpublished manuscript (1983). Reviewer: D.Erle (Dortmund) MSC: 37A99 55M10 37D99 PDFBibTeX XMLCite \textit{Ya. B. Pesin}, Sel. Math. Sov. 9, No. 4, 371--385 (1983; Zbl 0745.58033); translation of an unpublished manuscript (1983)
Pesin, Ya. B.; Sinai, Ya. G. Gibbs measures for partially hyperbolic attractors. (English) Zbl 0519.58035 Ergodic Theory Dyn. Syst. 2, 417-438 (1982). MSC: 37D99 37C70 37A99 PDFBibTeX XMLCite \textit{Ya. B. Pesin} and \textit{Ya. G. Sinai}, Ergodic Theory Dyn. Syst. 2, 417--438 (1982; Zbl 0519.58035) Full Text: DOI
Pesin, Ya. B. On stochastic properties of attractors. (English) Zbl 0516.58030 Ergodic theory and related topics, Proc. Conf., Vitte/Hiddensee (GDR) 1981, Math. Res. 12, 161-168 (1982). MSC: 37D45 37D99 PDFBibTeX XML
Pesin, Ya. B.; Sinaj, Ya. G. Hyperbolicity and stochasticity of dynamical systems. (English) Zbl 0561.58038 Sov. Sci. Rev., Sect. C, Math. Phys. Rev. 2, 53-115 (1981). MSC: 37D99 37D45 37C10 PDFBibTeX XMLCite \textit{Ya. B. Pesin} and \textit{Ya. G. Sinaj}, Sov. Sci. Rev., Sect. C 2, 53--115 (1981; Zbl 0561.58038)
Pesin, Ya. B. Geodesic flows with hyperbolic behaviour of the trajectories and objects connected with them. (English) Zbl 0493.58001 Russ. Math. Surv. 36, No. 4, 1-59 (1981). MSC: 58-02 37D40 53D25 37A99 53C22 37D99 57R25 PDFBibTeX XMLCite \textit{Ya. B. Pesin}, Russ. Math. Surv. 36, No. 4, 1--59 (1981; Zbl 0493.58001) Full Text: DOI
Pesin, Ya. B. Geodesic flows with hyperbolic behavior of the trajectories and objects connected with them. (Russian) Zbl 0482.58002 Usp. Mat. Nauk 36, No. 4(220), 3-51 (1981). MSC: 58-02 37D40 53D25 37D99 53C20 53C22 PDFBibTeX XMLCite \textit{Ya. B. Pesin}, Usp. Mat. Nauk 36, No. 4(220), 3--51 (1981; Zbl 0482.58002)
Pesin, Ya. B. Equations for the entropy of a geodesic flow on a compact Riemannian manifold without conjugate points. (English) Zbl 0411.58016 Math. Notes 24, 796-805 (1979). MSC: 37D40 53D25 28D20 53C20 53C22 37A99 PDFBibTeX XMLCite \textit{Ya. B. Pesin}, Math. Notes 24, 796--805 (1979; Zbl 0411.58016) Full Text: DOI
Pesin, Ya. B. Description of \(\pi\)-partition of a diffeomorphism with invariant measure. (English) Zbl 0423.58013 Math. Notes 22, 506-515 (1978). MSC: 37D99 37C75 PDFBibTeX XMLCite \textit{Ya. B. Pesin}, Math. Notes 22, 506--515 (1978; Zbl 0423.58013) Full Text: DOI
Pesin, Ja. B. Formeln für die Entropie eines geodätischen Flusses auf einer kompakten Riemannschen Mannigfaltigkeit ohne konjugierte Punkte. (Russian) Zbl 0399.58009 Mat. Zametki 24, 553-570 (1978). MSC: 37D40 53D25 28D20 53C20 53C22 PDFBibTeX XMLCite \textit{Ja. B. Pesin}, Mat. Zametki 24, 553--570 (1978; Zbl 0399.58009)
Pesin, Ja. B. Families of invariant manifolds corresponding to nonzero characteristic exponents. (English) Zbl 0383.58012 Math. USSR, Izv. 10(1976), 1261-1305 (1978). MSC: 37D99 37C75 PDFBibTeX XMLCite \textit{Ja. B. Pesin}, Math. USSR, Izv. 10, 1261--1305 (1978; Zbl 0383.58012) Full Text: DOI
Pesin, Ja. B. Geodesic flows on closed Riemannian manifolds without focal points. (English) Zbl 0399.58010 Math. USSR, Izv. 11, 1195-1228 (1977). MSC: 37D40 53D25 53C22 PDFBibTeX XMLCite \textit{Ja. B. Pesin}, Math. USSR, Izv. 11, 1195--1228 (1977; Zbl 0399.58010) Full Text: DOI
Pesin, Ja. B. Characteristic Lyapunov exponents and smooth ergodic theory. (English) Zbl 0383.58011 Russ. Math. Surv. 32, No. 4, 55-114 (1977). MSC: 37D99 28D20 37A99 37D40 53D25 37C10 PDFBibTeX XMLCite \textit{Ja. B. Pesin}, Russ. Math. Surv. 32, No. 4, 55--114 (1977; Zbl 0383.58011) Full Text: DOI
Pesin, Ja. B. Geodätische Flüsse auf geschlossenen Riemannschen Mannigfaltigkeiten ohne fokale Punkte. (Russian) Zbl 0376.58012 Izv. Akad. Nauk SSSR, Ser. Mat. 41, 1252-1288 (1977). MSC: 37-XX 53C20 PDFBibTeX XMLCite \textit{Ja. B. Pesin}, Izv. Akad. Nauk SSSR, Ser. Mat. 41, 1252--1288 (1977; Zbl 0376.58012)
Pesin, Ja. B. Ljapunovsche charakteristische Exponenten und die glatte Ergodentheorie. (Russian) Zbl 0359.58010 Usp. Mat. Nauk 32, No. 4(196), 55-112 (1977). MSC: 37D99 28D05 PDFBibTeX XMLCite \textit{Ja. B. Pesin}, Usp. Mat. Nauk 32, No. 4(196), 55--112 (1977; Zbl 0359.58010)
Pesin, Ja. B. Eine Beschreibung der \(\pi\)-Zerlegung eines Diffeomorphismus mit invariantem Maß. (Russian) Zbl 0357.58009 Mat. Zametki 22, 29-44 (1977). MSC: 37D99 28D05 28C10 PDFBibTeX XMLCite \textit{Ja. B. Pesin}, Mat. Zametki 22, 29--44 (1977; Zbl 0357.58009)
Pesin, Ja. B. Familien invarianter Mannigfaltigkeiten, die nicht-verschwindenden charakteristischen Exponenten entsprechen. (Russian) Zbl 0372.58009 Izv. Akad. Nauk SSSR, Ser. Mat. 40, 1332-1379 (1976). MSC: 37C75 PDFBibTeX XMLCite \textit{Ja. B. Pesin}, Izv. Akad. Nauk SSSR, Ser. Mat. 40, 1332--1379 (1976; Zbl 0372.58009)
Pesin, Ja. B. Ljapunov characteristic exponents and ergodic properties of smooth dynamical systems with an invariant measure. (English. Russian original) Zbl 0345.58010 Sov. Math., Dokl. 17, 196-199 (1976); translation from Dokl. Akad. Nauk SSSR 226, 774-777 (1976). MSC: 37D99 28D05 53C20 PDFBibTeX XMLCite \textit{Ja. B. Pesin}, Sov. Math., Dokl. 17, 196--199 (1976; Zbl 0345.58010); translation from Dokl. Akad. Nauk SSSR 226, 774--777 (1976)
Pesin, Ja. B. Example of a nonergodic flow with nonzero characteristic numbers. (English. Russian original) Zbl 0305.58012 Funct. Anal. Appl. 8, 263-264 (1974); translation from Funkts. Anal. Prilozh. 8, No. 3, 81-82 (1974). MSC: 37D99 28D05 PDFBibTeX XMLCite \textit{Ja. B. Pesin}, Funct. Anal. Appl. 8, 263--264 (1974; Zbl 0305.58012); translation from Funkts. Anal. Prilozh. 8, No. 3, 81--82 (1974) Full Text: DOI
Brin, M. I.; Pesin, Ja. B. Flüsse von Reperes auf Mannigfaltigkeiten negativer Krümmung. (Russian) Zbl 0285.58011 Usp. Mat. Nauk 28, No. 4(172), 209-210 (1973). MSC: 37D99 53C99 PDFBibTeX XMLCite \textit{M. I. Brin} and \textit{Ja. B. Pesin}, Usp. Mat. Nauk 28, No. 4(172), 209--210 (1973; Zbl 0285.58011)