Aspects of Ergodic, Qualitative and Statistical Theory of Motion

Download or read book Aspects of Ergodic, Qualitative and Statistical Theory of Motion written by Giovanni Gallavotti and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended for beginners in ergodic theory, this introductory textbook addresses students as well as researchers in mathematical physics. The main novelty is the systematic treatment of characteristic problems in ergodic theory by a unified method in terms of convergent power series and renormalization group methods, in particular. Basic concepts of ergodicity, like Gibbs states, are developed and applied to, e.g., Asonov systems or KAM Theroy. Many examples illustrate the ideas and, in addition, a substantial number of interesting topics are treated in the form of guided problems.