Ergodic Theory - Introductory Lectures PDF Download

Author: P. Walters
Publisher:
ISBN: 9783662166673
Category :
Languages : en
Pages : 212

View

Book Description

Author: P. Walters
Publisher: Springer
ISBN: 3540374949
Category : Mathematics
Languages : en
Pages : 209

View

Book Description

Author: Peter Walters
Publisher:
ISBN: 9780387071633
Category : Differential equations, Partial
Languages : en
Pages : 372

View

Book Description

Author: Peter Walters
Publisher: Springer Science & Business Media
ISBN: 9780387951522
Category : Mathematics
Languages : en
Pages : 268

View

Book Description
The first part of this introduction to ergodic theory addresses measure-preserving transformations of probability spaces and covers such topics as recurrence properties and the Birkhoff ergodic theorem. The second part focuses on the ergodic theory of continuous transformations of compact metrizable spaces. Several examples are detailed, and the final chapter outlines results and applications of ergodic theory to other branches of mathematics.

Author: Peter Walters
Publisher:
ISBN:
Category : Ergodic theory
Languages : en
Pages : 0

View

Book Description

Author: Paul R. Halmos
Publisher: Courier Dover Publications
ISBN: 0486814890
Category : Mathematics
Languages : en
Pages : 113

View

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: Manfred Einsiedler
Publisher: Springer Science & Business Media
ISBN: 0857290215
Category : Mathematics
Languages : en
Pages : 486

View

Book Description
This text is a rigorous introduction to ergodic theory, developing the machinery of conditional measures and expectations, mixing, and recurrence. Beginning by developing the basics of ergodic theory and progressing to describe some recent applications to number theory, this book goes beyond the standard texts in this topic. Applications include Weyl's polynomial equidistribution theorem, the ergodic proof of Szemeredi's theorem, the connection between the continued fraction map and the modular surface, and a proof of the equidistribution of horocycle orbits. Ergodic Theory with a view towards Number Theory will appeal to mathematicians with some standard background in measure theory and functional analysis. No background in ergodic theory or Lie theory is assumed, and a number of exercises and hints to problems are included, making this the perfect companion for graduate students and researchers in ergodic theory, homogenous dynamics or number theory.

Author: Mark Pollicott
Publisher: Cambridge University Press
ISBN: 9780521435932
Category : Mathematics
Languages : en
Pages : 176

View

Book Description
These lecture notes provide a unique introduction to Pesin theory and its applications.

Author: Paul R. Halmos
Publisher: Courier Dover Publications
ISBN: 0486826848
Category : Mathematics
Languages : en
Pages : 113

View

Book Description
This concise classic by a well-known master of mathematical exposition covers recurrence, ergodic theorems, ergodicity and mixing properties, and the relation between conjugacy and equivalence. 1956 edition.

Author: Karma Dajani
Publisher: CRC Press
ISBN: 1000402770
Category : Mathematics
Languages : en
Pages : 268

View

Book Description
A First Course in Ergodic Theory provides readers with an introductory course in Ergodic Theory. This textbook has been developed from the authors’ own notes on the subject, which they have been teaching since the 1990s. Over the years they have added topics, theorems, examples and explanations from various sources. The result is a book that is easy to teach from and easy to learn from — designed to require only minimal prerequisites. Features Suitable for readers with only a basic knowledge of measure theory, some topology and a very basic knowledge of functional analysis Perfect as the primary textbook for a course in Ergodic Theory Examples are described and are studied in detail when new properties are presented.