


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


I am Fellow of American Mathematical Society




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,
Winners of Michael Brin Prize : Giovanni Forni  2008, Dmitry Dolgopyat  2009, Artur Avila  2011, Omri Sarig 2013


Math 411 "Ordinary Differential Equations'', Solutions of Homework problems and
Practice problems


























 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, SpringerVerlag, New YorkBerlin, 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 (2013) 453472; 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










