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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 fi…
We show that the smooth pseudo-Anosov diffeomorphisms constructed by Gerber and Katok satisfy a "conditional structural stability" property, i.e. structural stability with respect to C¹ perturbations which preserve some finite number of jets at a given finite collection of point…
