I am Distinguished Professor at the Department of Mathematics of The Pennsylvania State University

I am Director of Anatole Katok Center for Dynamical Systems and Geometry at Penn State

I am a Member of the European Academy -- Academia Europaea

I am an Editor of Ergodic Theory and Dynamical Systems

I am Fellow of the American Mathematical Society

Dynamical Systems, Ergodic Theory, Riemannian Geometry, Dimension Theory, Mathematical and Statistical Physics

Michael Brin Prize in Dynamical Systems

Michael Brin Dynamical Systems Prize for Young Mathematicians

• Dimension Theory in Dynamical Systems: Contemporary Views and Applications
  Chicago Lectures in Mathematics, The University of Chicago Press, Chicago, 1998 ISBN: 0-226-66222-5 ( Russian Translation, Moscow--Izevsk, 2002)

• Lyapunov Exponents and Smooth Ergodic Theory (with L. Barreira)
  University Lecture Series, v. 23, AMS, Providence, 2001 ISBN: 0-8218-2921-1

• Lectures on Partial Hyperbolicity and Stable Ergodicity
  Zurich Lectures in Advanced Mathematics, EMS, 2004 ISBN: 3-03719-003-5 (Russian Translation, Moscow Independent University, 2006).

• Nonuniformly Hyperbolicity: Dynamics of Systems with Nonzero Lyapunov Exponents (with L. Barreira)
  Encyclopedia of Mathematics and Its Applications, Cambridge University Press, 2007, ISBN 978-0-521-83258-8

• Lectures on Fractal Geometry and Dynamical Systems (with V. Climenhaga)
  Student Mathematical Library, 52, AMS, Providence, RI 2009, ISBN 978-0-8218-4889-0

• Introduction to Smooth Ergodic Theory (with L. Barreira)
  Graduate Studies in Mathematics, 148, AMS, Providence, RI 2013, ISBN 978-0-8218-9853-6

• Hyperbolicity and Stochasticity of Dynamical Systems (with Ya. Sinai)
  Soviet Science Reviews, Sect. C: Math. Phys., v. 2, Harwood Acad. Publ., 1981, p. 53--115

• Geodesic Flows With Hyperbolic Behavior of The Trajectories and Objects Connected With Them
  Russ. Math. Surveys, v. 36, N4, 1981, p. 3--15

• Dimension of Lorenz type attractors (with V. Afraimovich)
  Soviet Science Reviews, Sect. C: Math. Phys., v. 6, Harwood Acad. Publ., 1987, p. 169--241

• General Theory of Smooth Dynamical Systems
  Encyclopedia of Mathematical Sciences 100, in the book: Dynamical systems. II. Ergodic theory with applications to dynamical systems and statistical mechanics, Edited by Ya. Sinai, second edition, Springer-Verlag, New York--Berlin, 1999

• Lectures on Lyapunov Exponents and Smooth Ergodic Theory (with L. Barreira)
  In the book: "Smooth Ergodic Theory and Its Applications", AMS, Proceedings of Symposia in Pure Mathematics, 2001, p. 3-90

• Smooth Ergodic Theory and Nonuniformly Hyperbolic Dynamics (with L. Barreira)
  Handbook of Dynamical Systems, v. 1B, Edited by B. Hasselblatt and A. Katok, Elsevier, Amsterdam, 2005

• Partially Hyperbolic Dynamical Systems (with B. Hasselblatt)
  Handbook of Dynamical Systems, v. 1B, Edited by B. Hasselblatt and A. Katok, Elsevier, Amsterdam, 2005

• Open Problems in The Non-uniform Hyperbolicity Theory (with C. Climenhaga)
  Discrete and Continuous Dynamical Systems, 27:2 (2010) 589-607 (special issue on "Trends and Developments in Differential Equations/Dynamics")

• The Essential Coexistence Phenomenon in Dynamics (with J. Chen and H. Hu)
  Special issue ``Statistical Properties of Dynamical Systems'', Dynamical Systems, an International Journal (Ed. M. Nicol, P. Ashwin), v. 28, N3 (2013) 453-472; this is an Author's Original Manuscript of the article published in the journal [copyright Taylor & Francis], the journal is available on http://www.tandfonline.com

• Building Thermodynamics For Non-uniformly Hyperbolic Maps (with C. Climenhaga)
  Arnold Mathematical Journal, Special issue dedicated to 25th anniversary of the IMS at Stony Brook, v. 3, N1 (2017) 37--82

• The Geometric Approach for Constructing Sinai-Ruelle-Bowen Measures (with C. Climenhaga and S. Luzzatto)
  J. Stat. Physics, Special issue dedicated to 80th birthday of Ruelle and Sinai, 166, N3-4 (2017) 467-493

• Hyperbolic dynamics , Nonuniform hyperbolicity, Partial Hyperbolicity, Entropy Formula Scholarpedia (with B. Hasselblatt)
  

While mathematics is about abstract thinking, art is about abstract vision. See

• The virtual world of ceramics by Natasha Pesin
• The virtual world of panting by Ira Pesin

• CML, MathSciNet

• Information about State College and Penn State

• KSPUS (American Club of Russian Students Songs; information in Russian)