Ergodic Theory - Introductory Lectures
Author : P. Walters
Publisher :
Page : 212 pages
File Size : 41,63 MB
Release : 2014-01-15
Category :
ISBN : 9783662166673
Author : P. Walters
Publisher :
Page : 212 pages
File Size : 41,63 MB
Release : 2014-01-15
Category :
ISBN : 9783662166673
Author : P. Walters
Publisher : Springer
Page : 209 pages
File Size : 10,96 MB
Release : 2007-12-03
Category : Mathematics
ISBN : 3540374949
Author : Peter Walters
Publisher :
Page : 372 pages
File Size : 43,70 MB
Release : 1975
Category : Differential equations, Partial
ISBN : 9780387071633
Author : Peter Walters
Publisher : Springer Science & Business Media
Page : 268 pages
File Size : 22,58 MB
Release : 2000-10-06
Category : Mathematics
ISBN : 9780387951522
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 :
Page : 0 pages
File Size : 12,2 MB
Release : 1999
Category : Ergodic theory
ISBN :
Author : Paul R. Halmos
Publisher : Courier Dover Publications
Page : 113 pages
File Size : 38,60 MB
Release : 2017-12-13
Category : Mathematics
ISBN : 0486814890
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
Page : 486 pages
File Size : 39,61 MB
Release : 2010-09-11
Category : Mathematics
ISBN : 0857290215
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
Page : 176 pages
File Size : 32,45 MB
Release : 1993-02-04
Category : Mathematics
ISBN : 9780521435932
These lecture notes provide a unique introduction to Pesin theory and its applications.
Author : Paul R. Halmos
Publisher : Courier Dover Publications
Page : 113 pages
File Size : 26,70 MB
Release : 2017-11-15
Category : Mathematics
ISBN : 0486826848
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 : Harry Furstenberg
Publisher : Princeton University Press
Page : 216 pages
File Size : 47,70 MB
Release : 2014-07-14
Category : Mathematics
ISBN : 1400855160
Topological dynamics and ergodic theory usually have been treated independently. H. Furstenberg, instead, develops the common ground between them by applying the modern theory of dynamical systems to combinatories and number theory. Originally published in 1981. 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.