Lectures on Ergodic Theory and Pesin Theory on Compact Manifolds

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. Emphasis is placed on generality and on the crucial role of measure theory, although no specialist knowledge of this subject is required.