An Introduction to Ergodic Theory [Walters Peter] on *FREE* shipping on qualifying offers. Brand New. An Introduction to Ergodic Theory by Peter Walters, , available at Book Depository with free delivery worldwide. AN INTRODUCTION TO ERGODIC THEORY. (Graduate Texts in Mathematics, 79). By PETER WALTERS: pp. DM; US$ (Springer-Verlag.
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The first part of the text is concerned with measure-preserving It is an extremely suitable book for students I think because Furstenberg lntroduction a great teacher and lecturerand it shows part of the motivations towards the modern development of ergodic theory, and it shows also topics in topological dynamics, which other books omit.
This text provides an introduction to ergodic theory suitable for readers knowing basic measure theory.
I think another good choice is the book “Ergodic Theory: Another nice option is the classic book by Furstenberg – “Recurrence in ergodic theory and combinatorial number theory” Princeton. It is a well balanced book regarding theory vs applicationsit has nice appendix contains relevant theory from functional analysis, and it contains a nice selection of subjects although not addressing entropy, which one might say is a very big problem. Commutative Algebra David Eisenbud.
For example, his treatment of entropy tops those in both Walter’s An Introduction to Ergodic Theory and Petersen’s Ergodic Theoryboth of which are also good books though. It is a well-written book with very clear explanations. Post as a guest Name. Dan Rudolph have a very nice book called – “Fundamentals of Measurable Dynamics: Several examples are detailed, and the final chapter outlines results and applications of ergodic theory to other branches of mathematics.
An Introduction to Ergodic Theory – Peter Walters – Google Books
Representation Theory William Fulton. Sign up using Email and Password. The proofs are not always carried out in full detail, though. It treats, among others, invariant measures, translations on compact abelian groups, geodesic flows on Riemannian manifolds; it gives applications to number theory and discusses ergodic theory of ideal gas as applications to “other fields” that you may be interested in. I have learned topological dynamics from this textbook.
An Introduction To Ergodic Theory
Selected pages Title Page. An Introduction to Ergodic Theory. As for me, I am a grad student, but uexperienced with ergodic theory. Some examples are described and are studied in detail when new properties are presented.
Princeton University Press, Princeton, N. The second part focuses on the ergodic theory of continuous transformations of compact metrizable spaces. Topological entropy is introduced and related to measure-theoretic entropy. I’d like to hear your opinion for ergodic theory books which would suit a beginner with background in measure theory, real analysis and topological groups.
It is hoped the reader will be ready to tackle research papers after reading the book. Thierry de la Rue. Common terms and phrases abelian group affine transformation Bernoulli automorphism Bernoulli shifts Borel subsets choose compact metric space conjugacy conjugate consider constant a.
An Introduction to Ergodic Theory
I tried a book by nadkarni, and could not read through it, seemed to concise to me, and tried the book introductkon Petersen which I felt was accessible introdudtion didn’t follow a clear path, jumping from subject to subject with lots of different object or properties.
Read, highlight, and take notes, across web, tablet, and phone. Sign up or log in Sign up using Google. This is a very extensive book, but it is kind of deep, and in my opinion, doesn’t suitable fro students although he for example discuss the general notion of ergodic group action, besides Z or R actions.
I really like and recommend Billingsley’s Ergodic Theory and Information. Advanced Linear Algebra Steven Roman. So apart from this, which are “standard references”, and maybe also Walters’ book nitroduction is kind of dated, and the last chapters are biased towards entropy theory of continuous maps over compact spacesthere are few references which are good for specific subjects and introductjon not as a whole standard reference book.
Topology and Geometry Glen E. OhyaDenes Petz Limited preview – Check out the top books of the year on our page Best Books of When you say beginner, do you mean grad student or otherwise? What about the following?