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An Introduction to Ergodic Theory Peter Walters
Publisher: Springer

The book focuses on properties specific to infinite measure preserving transformations. Homoclinic and heteroclinic phenomena. 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. An Introduction to Infinite Ergodic Theory – J. Somehow I became the canonical undergraduate source for bibliographical references, so I thought I would leave a list. Infinite ergodic theory is the study of measure preserving transformations of infinite measure spaces. Devaney (Addison-Wesley, 1989) [2-pg scan] WW.djvu. Introduction to invariant measures and to ergodic theory. Theorem 1: Dynamical systems defined above are minimal and uniquely ergodic. April 11, 2013 the regular meeting of the AMU was addressed by Victor Arzumanian (Institute of Mathematics) with the talk “Invariants of Ergodic Transformations”. Ergodic Theory of Discrete Groups by P. This week I am giving three lectures on the correspondence principle, and on finitary versions of ergodic theory, for the introductory workshop in the former program. An Introduction To Chaotic Dynamical Systems 2nd ed. Chaos: symbolic dynamics, topological entropy, invariant Cantorian sets. Normally hyperbolic invariant manifolds (NHIM). Aaronson (AMS, 1997) [dCV] WW.pdf. Foundations of Modern Probability (Probability and Its Ratner ;s theorems | What ; s newFor a nice introduction to these issues, I recommend Dave Morris ; recent book on the subject (and this post here is drawn in large part from that book ). (Th0se who are not familiar with these concepts can google them or take a look at Peter Walters' “An introduction to ergodic theory”.).