Free Delivery Over $100
|
|
|||
|
||||
OverviewDynamical systems is the study of systems that evolve with time, and ergodic theory is the branch of dynamics that studies the statistical and qualitative behavior of measurable actions on a measure space. The problems, results, and techniques of ergodic theory lie at the intersection of many areas of mathematics, including smooth dynamics, statistical mechanics, probability, harmonic analysis, and group actions. Recently, ergodic theory has seen a burst of activity in which ergodic theory and its techniques have been imported into combinatorics, number theory, and geometry. This authoritative volume, which contains entries from the Encyclopedia of Complexity and Systems Science, begins with an overview of the basic objects in ergodic theory, including recurrence, convergence theorems, mixing, and entropy, and continues with an overview of the recent connections with other fields of mathematics. These interactions include areas such as topological, smooth, and symbolic dynamics, but also involve topics traditionally outside the scope of ergodic theory, such as fractal geometry, number theory, and combinatorics. Full Product DetailsAuthor: Bryna Kra , Robert A. MeyersPublisher: Springer-Verlag New York Inc. Imprint: Springer-Verlag New York Inc. ISBN: 9781441993519ISBN 10: 1441993517 Pages: 320 Publication Date: 30 April 2011 Audience: Professional and scholarly , Professional & Vocational Replaced By: 9783540663164 Format: Undefined Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsIntroduction Measure Preserving Systems Basic Examples and Constructions Ergodic Theorems Recurrence Mixing Properties Isomorphism Theory Joinings Rigidity Smooth Ergodic Theory Symbolic Dynamics Topological Dynamics Non-singular Transformations Entropy Pressure and Equilibriums States Chaos Fractal Geometry Ergodic Theory on Homogeneous Spaces and Metric Number TheoryReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
||||
