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



  • 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
  • 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

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