Ergodic Theory and Statistical Mechanics PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Ergodic Theory and Statistical Mechanics PDF full book. Access full book title Ergodic Theory and Statistical Mechanics by Jean Moulin Ollagnier. Download full books in PDF and EPUB format.
Author: Jean Moulin Ollagnier
Publisher: Lecture Notes in Mathematics
ISBN:
Category : Mathematics
Languages : en
Pages : 176
Get Book Here
Book Description
Author: Jean Moulin Ollagnier
Publisher: Lecture Notes in Mathematics
ISBN:
Category : Mathematics
Languages : en
Pages : 176
Get Book Here
Book Description
Author: Giovanni Gallavotti
Publisher: Springer Science & Business Media
ISBN: 9783540408796
Category : Mathematics
Languages : en
Pages : 456
Get Book Here
Book Description
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.
Author: Paul R. Halmos
Publisher: Courier Dover Publications
ISBN: 0486814890
Category : Mathematics
Languages : en
Pages : 113
Get Book Here
Book Description
This concise classic by Paul R. Halmos, a well-known master of mathematical exposition, has served as a basic introduction to aspects of ergodic theory since its first publication in 1956. "The book is written in the pleasant, relaxed, and clear style usually associated with the author," noted the Bulletin of the American Mathematical Society, adding, "The material is organized very well and painlessly presented." Suitable for advanced undergraduates and graduate students in mathematics, the treatment covers recurrence, mean and pointwise convergence, ergodic theorem, measure algebras, and automorphisms of compact groups. Additional topics include weak topology and approximation, uniform topology and approximation, invariant measures, unsolved problems, and other subjects.
Author: Ian E. Farquhar
Publisher:
ISBN:
Category : Ergodic theory
Languages : en
Pages : 252
Get Book Here
Book Description
Author: R. Jancel
Publisher: Elsevier
ISBN: 1483186261
Category : Science
Languages : en
Pages : 441
Get Book Here
Book Description
Foundations of Classical and Quantum Statistical Mechanics details the theoretical foundation the supports the concepts in classical and quantum statistical mechanics. The title discusses the various problems set by the theoretical justification of statistical mechanics methods. The text first covers the the ergodic theory in classical statistical mechanics, and then proceeds to tackling quantum mechanical ensembles. Next, the selection discusses the the ergodic theorem in quantum statistical mechanics and probability quantum ergodic theorems. The selection also details H-theorems and kinetic equations in classical and quantum statistical mechanics. The book will be of great interest to students, researchers, and practitioners of physics, chemistry, and engineering.
Author: Ya G. Sinai
Publisher:
ISBN: 9783662067895
Category :
Languages : en
Pages : 296
Get Book Here
Book Description
Author: Robert B. Israel
Publisher: Princeton University Press
ISBN: 1400868424
Category : Science
Languages : en
Pages : 257
Get Book Here
Book Description
In this book, Robert Israel considers classical and quantum lattice systems in terms of equilibrium statistical mechanics. He is especially concerned with the characterization of translation-invariant equilibrium states by a variational principle and the use of convexity in studying these states. Arthur Wightman's Introduction gives a general and historical perspective on convexity in statistical mechanics and thermodynamics. Professor Israel then reviews the general framework of the theory of lattice gases. In addition to presenting new and more direct proofs of some known results, he uses a version of a theorem by Bishop and Phelps to obtain existence results for phase transitions. Furthermore, he shows how the Gibbs Phase Rule and the existence of a wide variety of phase transitions follow from the general framework and the theory of convex functions. While the behavior of some of these phase transitions is very "pathological," others exhibit more "reasonable" behavior. As an example, the author considers the isotropic Heisenberg model. Formulating a version of the Gibbs Phase Rule using Hausdorff dimension, he shows that the finite dimensional subspaces satisfying this phase rule are generic. Originally published in 1979. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Author: L.A. Bunimovich
Publisher: Springer Science & Business Media
ISBN: 9783540663164
Category : Mathematics
Languages : en
Pages : 476
Get Book Here
Book Description
This EMS volume, the first edition of which was published as Dynamical Systems II, EMS 2, familiarizes the reader with the fundamental ideas and results of modern ergodic theory and its applications to dynamical systems and statistical mechanics. The enlarged and revised second edition adds two new contributions on ergodic theory of flows on homogeneous manifolds and on methods of algebraic geometry in the theory of interval exchange transformations.
Author: Gerhard Keller
Publisher: Cambridge University Press
ISBN: 9780521595346
Category : Mathematics
Languages : en
Pages : 196
Get Book Here
Book Description
Based on a one semester course, this book provides a self contained introduction to the ergodic theory of equilibrium states.
Author: William Parry
Publisher: Cambridge University Press
ISBN: 9780521604901
Category : Mathematics
Languages : en
Pages : 128
Get Book Here
Book Description
An introduction to topics and examples of ergodic theory, a central area of pure mathematics.
