Aspects of Ergodic, Qualitative and Statistical Theory of Motion

Softcover version of original hardcover Auflage 2004
ISBN: 978-3-642-07416-5
Verlag: Springer

Buch, Englisch, 440 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 680 g

Reihe: Theoretical and Mathematical Physics

Intended for beginners in ergodic theory, this book 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 Theory. Many examples illustrate the ideas and, in addition, a substantial number of interesting topics are treated in the form of guided problems.

Zielgruppe

Research

Autoren/Hrsg.

Gallavotti, Giovanni

Gentile, Guido

Bonetto, Federico

Fachgebiete

• Naturwissenschaften Physik Quantenphysik
• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
• Naturwissenschaften Physik Thermodynamik Physik der Zustandsübergänge
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik

Inhaltsverzeichnis

1 General Qualitative Properties.- 2 Ergodicity and Ergodic Points.- 3 Entropy and Complexity.- 4 Markovian Pavements.- 5 Gibbs Distributions.- 6 General Properties of Gibbs and SRB Distributions.- 7 Analyticity, Singularity and Phase Transitions.- 8 Special Ergodic Theory Problems in Nonchaotic Dynamics.- 9 Some Special Topics in KAM Theory.- 10 Special Problems in Chaotic Dynamics.- A Nonequilibrium Thermodynamics? Twenty-Seven Comments.- Name Index.- Citations Index.