Foundations of Ergodic Theory (Cambridge Studies in Advanced by Marcelo Viana,Krerley Oliveira

By Marcelo Viana,Krerley Oliveira

wealthy with examples and functions, this textbook presents a coherent and self-contained advent to ergodic conception, appropriate for a number of one- or two-semester classes. The authors' transparent and fluent exposition is helping the reader to know speedy an important rules of the idea, and their use of concrete examples illustrates those principles and places the consequences into standpoint. The e-book calls for few necessities, with heritage fabric provided within the appendix. the 1st 4 chapters hide basic fabric appropriate for undergraduate scholars – invariance, recurrence and ergodicity – in addition to many of the major examples. The authors then progressively increase to extra subtle themes, together with correlations, an identical platforms, entropy, the variational precept and thermodynamical formalism. The four hundred routines raise in trouble throughout the textual content and try out the reader's knowing of the full idea. tricks and suggestions are supplied on the finish of the book.

Show description

Read or Download Foundations of Ergodic Theory (Cambridge Studies in Advanced Mathematics) PDF

Similar geometry & topology books

Finsler Geometry: An Approach via Randers Spaces

"Finsler Geometry: An process through Randers areas" solely offers with a distinct category of Finsler metrics -- Randers metrics, that are outlined because the sum of a Riemannian metric and a 1-form. Randers metrics derive from the study on common Relativity thought and feature been utilized in lots of parts of the average sciences.

Mathematical Concepts

The most goal of this booklet is to explain and advance the conceptual, structural and summary deliberating arithmetic. particular mathematical buildings are used to demonstrate the conceptual strategy; offering a deeper perception into mutual relationships and summary universal positive factors. those principles are conscientiously influenced, defined and illustrated via examples in order that the various extra technical proofs could be passed over.

Modern General Topology (Bibliotheca Mathematica)

Bibliotheca Mathematica: a sequence of Monographs on natural and utilized arithmetic, quantity VII: sleek basic Topology specializes in the methods, operations, ideas, and techniques hired in natural and utilized arithmetic, together with areas, cardinal and ordinal numbers, and mappings. The ebook first elaborates on set, cardinal and ordinal numbers, simple suggestions in topological areas, and numerous topological areas.

Fractal Functions, Fractal Surfaces, and Wavelets

Fractal capabilities, Fractal Surfaces, and Wavelets, moment version, is the 1st systematic exposition of the speculation of neighborhood iterated functionality structures, neighborhood fractal features and fractal surfaces, and their connections to wavelets and wavelet units. The e-book relies on Massopust’s paintings on and contributions to the idea of fractal interpolation, and the writer makes use of a few tools—including research, topology, algebra, and chance theory—to introduce readers to this intriguing topic.

Additional resources for Foundations of Ergodic Theory (Cambridge Studies in Advanced Mathematics)

Sample text

Download PDF sample

Rated 4.27 of 5 – based on 24 votes