I am Distiguished Professor at the Department of Mathematics of The Pennsylvania State University and a member of The Center for Dynamics and Geometry at Penn State.

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

I am an Editor of Ergodic Theory and Dynamical Systems.

Michael Brin Prize in Dynamical Systems.

Math 501 "Real Analysis", Homeworks and exams: problems and solutions .

• 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

• Lectures on Fractal Geometry and Dynamical Systems (with V. Climenhaga)
  Student Mathematical Library, 52, AMS, Providence, RI 2009

• 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. 36:4, 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

• 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

• 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, Mathematics Departments,

• Information about State College and Penn State

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