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.
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