Lectures on Ergodic Theory and Pesin Theory on Compact Manifolds (London Mathematical Society Lecture Note Series Book 180) 1st Edition by Mark Pollicott (PDF)

Description

Pesin theory consists of the study of the theory of non-uniformly hyperbolic diffeomorphisms. The aim of this book is to provide the reader with a straightforward account of this theory, following the approaches of Katok and Newhouse. The notes are divided into two parts. The first develops the basic theory, starting with general ergodic theory and introducing Liapunov exponents. Part Two deals with the applications of Pesin theory and contains an account of the existence (and distribution) of periodic points. It closes with a look at stable manifolds, and gives some results on absolute continuity. These lecture notes provide a unique introduction to Pesin theory and its applications. The author assumes that the reader has only a good background of undergraduate analysis and nothing further, so making the book accessible to complete newcomers to the field.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐In spite of being 19 years old Pollicott’s book is still very good. Topic is ergodic theory focusing on one transformation rather than a group of transformations, and mostly about measure theory invariant. The style is fresh; proofs are sometime simpler than in original papers; a nice reading for those who love the subject.

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Lectures on Ergodic Theory and Pesin Theory on Compact Manifolds (London Mathematical Society Lecture Note Series Book 180) 1st Edition 1993 PDF Free Download
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