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Anatole Katok Center For Dynamical Systems And Geometry

Publications

Publications of current and former members of the Center

List of Authors

(links to personal homepages when available)

Books by the members of the Center

As Authors

  • Burago, Dmitri (with Burago, Yuri and Ivanov, Sergei): A course in metric geometry. Graduate Studies in Mathematics, 33. American Mathematical Society, Providence, RI, 2001. xiv+415 pp. $44.00 ISBN:0-8218-2129-6.
  • Katok, Anatole (with Climenhaga, Vaughn): From groups to geometry and back, Student Mathematical Library, 81. American Mathematical Society, Providence, RI; Mathematics Advanced Study Semesters, University Park, PA, 2017. xv+286 pp. 
  • Katok, Anatole (with Nitica, Viorel): Rigidity in higher rank abelian group actions: Volume 1. Introduction and cocycle problem, Cambridge University press, 2011
  • Katok, Anatole (with Climenhaga, Vaughn): Lectures on surfaces: (almost) everything you wanted to know about them, Student Mathematical Library, 46. American Mathematical Society, Providence, RI; Mathematics Advanced Study Semesters, University Park, PA, 2008. xvii+420 pp. 
  • Katok, Anatole (with Hasselblatt, Boris: A first course in dynamics with a panorama of recent developments, Cambridge University Press, 2003, ISBN: 0521587506 Paperback: ISBN 0-521-57557-5; translation into Russian MCCME, 2005; translation into Chinese.
  • Katok, Anatole: Combinatorial Constructions in Ergodic Theory and Dynamics, University Lecture Series, Volume: 30, 2003, 121 pages, ISBN: 0-8218-3496-7.
  • Katok, Anatole (with Hasselblatt, Boris): Introduction to the Modern Theory of Dynamical Systems, With a supplementary chapter by Katok and Leonardo Mendoza. Encyclopedia of Mathematics and its Applications, 54. Cambridge University Press, Cambridge, 1995. xviii+802 pp. $50 paperbound ISBN 0-521-57557-5. Translation into Russian, Faktorial, 1999; translation into Portuguese, Fundacao Calouste Gulbenkian, 2005.
  • Katok, Anatole (with Strelcyn, Jean-Marie; Ledrappier, F.; Przytycki, F.): Invariant manifolds, entropy and billiards; smooth maps with singularities. Lecture Notes in Mathematics, 1222. Springer-Verlag, Berlin, 1986. viii+283 pp. $23.60. ISBN 3-540-17190-8.
  • Katok, Anatole (with Alexeyev V. M. and Kouchnirenko A.G.): Smooth dynamical Systems (Three papers in Dynamical systems), AMS translations ser.2, 116, 1981. Translation from Russian.
  • Katok, Svetlana: Fuchsian groups. Chicago Lectures in Mathematics. University of Chicago Press, Chicago, IL, 1992. x+175 pp. ISBN: 0-226-42582-7 $34.98; paperbound ISBN: 0-226-42583-5 $14.95 Russian translation, Faktorial 2002
  • Katok, Svetlana: p-adic analysis compared with real, Student Mathematical Library, 37. American Mathematical Society, Providence, RI; Mathematics Advanced Study Semesters, University Park, PA, 2007, xi+149 pp.
  • Levi, Mark: The mathematical mechanic. Using physical reasoning to solve problems, Princeton University Press, 2009, 185 pp.
  • Levi, Mark: Why Cats Land on Their Feet: And 76 Other Physical Paradoxes and Puzzles, Princeton University Press, 2012, 208 pp.
  • Levi, Mark: Classical Mechanics with Calculus of Variations and Optimal Control: An Intuitive Introduction, American Mathematical Society, Providence, RI; 2014, 299 pp.
  • Pesin, Yakov (with Barreira, Luis): Introduction to smooth ergodic theory, Graduate Studies in Mathematics, AMS, Providence, RI, 2013
  • Pesin, Yakov (with Climenhaga, Vaughn): Lectures on fractal geometry and dynamical systems, Student Mathematical Library, 52. American Mathematical Society, Providence, RI; Mathematics Advanced Study Semesters, University Park, PA, 2009 
  • Pesin, Yakov (with Barreira, Luis): Nonuniform hyperbolicity: dynamics of systems with Nonzero Lyapunov exponents, Encyclopedia of Mathematics and its applications, Cambridge University press, 2007
  • Pesin, Yakov: Lectures on partial hyperbolicity and stable ergodicity, Zurich Lectures in Advanced Mathematics. European Mathematical Society (EMS), 2004. vi+122 pp. $32.50, ISBN: 3-03719-003-5.
  • Pesin, Yakov (with Barreira, Luis): Lyapunov Exponents and Smooth Ergodic Theory, University Lecture Series, 23, American Mathematical Society, Providence, RI, 2002. xii+151 pp. $29.00. ISBN 0-8218-2921-1.
  • Pesin, Yakov: Dimension Theory in Dynamical Systems: Contemorary Views and Applications, University of Chicago Press, Chicago, IL, 1997. xii+304 pp. $56.00 ISBN 0-226-66221-7; $19.95 paperbound: ISBN 0-226-66222-5.
  • Tabachnikov, Sergei (with Ovsienko, V): Projective differential geometry, old and new: from Schwarzian derivative to cohomology of diffeomorphism groups , Cambridge Univ. Press, 2005
  • Tabachnikov, Sergei: Geometry and billiards, Student Mathematical Library, 30. American Mathematical Society, Providence, RI; Mathematics Advanced Study Semesters, University Park, PA, 2005. xii+176 pp. ISBN: 0-8218-3919-5
  • Tabachnikov, Sergei: Billiards, Panor. Synth. No. 1, (1995), vi+142 pp. ISBN: 2856290302.

As Editors

  • Ergodic theory and dynamical systems. I. Proceedings of the Special Year at the University of Maryland, College Park, Md., 1979--80. Edited by Anatole Katok. Progress in Mathematics, 10. Birkhauser, Boston, Mass., 1981. xi+333 pp. $18.00. ISBN 3-7643-3036-8.
  •   Proceedings of the Special Year at the University of Maryland, College Park, Md., 1979/1980. Edited by Anatole Katok. Progress in Mathematics, 21. Birkhauser, Boston, Mass., 1982. xi+210 pp. ar15.00. ISBN 0-7643-3096-1.
  • Handbook of dynamical systems. Vol. 1A. Edited by Boris Hasselblatt and Anatole Katok. North-Holland, Amsterdam, 2002. xii+1220 pp. $180.00. ISBN 0-444-82669-6.
  • Handbook of dynamical systems. Vol. 1B. Edited by Boris Hasselblatt and Anatole Katok. Elsevier 2006, 1234 pages $215.00 ISBN: 0444520554
  • MASS Selecta. Edited by Svetlana Katok, Alexei Sossinsky and Sergei Tabachnikov. American Mathematical Society, 2003. 313 pages. ISBN 0821833634.
  • Sinai's Moscow Seminar on Dynamical Systems Edited by L. A. Bunimovich, B. M. Gurevich and Ya. B. Pesin. Translated from the Russian. Translation edited by N. Pesin. American Mathematical Society Translations, Series 2, 171. Advances in the Mathematical Sciences, 28. American Mathematical Society, Providence, RI, 1996. xii+247 pp. $95.00. ISBN 0-8218-0456-1.
  • Smooth Ergodic Theory and its Applications. Proceedings of the AMS Summer Research Institute held at the University of Washington, Seattle, WA, July 26--August 13, 1999. Edited by Anatole Katok, Rafael de la Llave, Yakov Pesin and Howard Weiss. Proceedings of Symposia in Pure Mathematics, 69. American Mathematical Society, Providence, RI, 2001. x+881 pp. $164.00. ISBN 0-8218-2682-4.
  • Differential and symplectic topology of knots and curves.Edited by S. Tabachnikov. American Mathematical Society Translations, Series 2, 190. Advances in the Mathematical Sciences, 42. American Mathematical Society, Providence, RI, 1999. x+286 pp. ISBN: 0-8218-1354-4
  • Differential topology, infinite-dimensional Lie algebras, and applications. D. B. Fuchs' 60th anniversary collection. Edited by Alexander Astashkevich and Serge Tabachnikov. American Mathematical Society Translations, Series 2, 194. Advances in the Mathematical Sciences, 44. American Mathematical Society, Providence, RI, 1999. x+313 pp. ISBN: 0-8218-2032-X 00B30 (17-06)
  • Kvant selecta: algebra and analysis. I. Edited by Serge Tabachnikov. Translated from the Russian. Translation edited by David Kramer. Mathematical World, 14. American Mathematical Society, Providence, RI, 1999. xii+155 pp. ISBN: 0-8218-1002-2
  • Kvant selecta: algebra and analysis. II. Edited by Serge Tabachnikov. Translated from the Russian. Translation edited by David Kramer. Mathematical World, 15. American Mathematical Society, Providence, RI, 1999. x+165 pp. ISBN: 0-8218-1915-1
  • Kvant selecta: combinatorics. I. Edited by Serge Tabachnikov. Mathematical World, 17. American Mathematical Society, Providence, RI, 2001. x+131 pp. ISBN: 0-8218-2171-7