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Found 97 Documents (Results 1–97)

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).
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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).
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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).
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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
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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).
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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
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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).
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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).
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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).
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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).
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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).
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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).
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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
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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).
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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).
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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).
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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).
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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).
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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
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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
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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
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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).
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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
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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)
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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
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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
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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
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