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An Introduction to Ergodic Theory Peter Walters
Publisher: Springer

An Introduction To Chaotic Dynamical Systems 2nd ed. Homoclinic and heteroclinic phenomena. Language:English Format: DJVU Size:6.33 MB. A deeper discussion of (pre-/outer-)measures, an introduction to \sigma -algebras After which I hope to be regularly posting on topics in functional analysis, ergodic theory, and (as I learn it next semester) harmonic analysis. Chaos: symbolic dynamics, topological entropy, invariant Cantorian sets. Infinite ergodic theory is the study of measure preserving transformations of infinite measure spaces. Aaronson (AMS, 1997) [dCV] WW.pdf. Interesting as a source of examples where the Lyapunov exponents of the Kontsevich-Zorich cocycle can be “described” (see, e.g., these links here for an introduction to the ergodic theory of the Kontsevich-Zorich cocycle). Theorem 1: Dynamical systems defined above are minimal and uniquely ergodic. (Th0se who are not familiar with these concepts can google them or take a look at Peter Walters' “An introduction to ergodic theory”.). Topics covered include topological, low-dimensional, hyperbolic and symbolic dynamics, as well as a brief introduction to ergodic theory. Normally hyperbolic invariant manifolds (NHIM). Title:An Introduction to Ergodic Theory Date3111-31-16. An Introduction to Infinite Ergodic Theory – J. See the wonderful short introduction "Ergodic theory and subshifts of finite type" by Michael Keene, plus chapters by Series, Pollicott, and Mayer related to dynamical zeta functions. Introduction to invariant measures and to ergodic theory. The book focuses on properties specific to infinite measure preserving transformations. Devaney (Addison-Wesley, 1989) [2-pg scan] WW.djvu.