02260nam a22003738a 4500001001600000003000700016005001700023006001900040007001500059008004100074020002600115020003000141040002400171050002200195082001600217100003000233245008800263246006700351260005200418264005200470300005900522336002600581337002600607338003600633490006300669500007300732520087400805650001901679650002801698776003501726786001401761830006401775856004701839CR9780511752537UkCbUP20160624102259.0m|||||o||d||||||||cr||||||||||||100421s1993||||enk s ||1 0|eng|d a9780511752537 (ebook) z9780521435932 (paperback) aUkCbUPcUkCbUPerda00aQA614 b.P65 199300a515/.422201 aPollicott, Mark,eauthor.10aLectures on Ergodic Theory and Pesin Theory on Compact Manifolds /cMark Pollicott.3 aLectures on Ergodic Theory & Pesin Theory on Compact Manifolds 1aCambridge :bCambridge University Press,c1993. 1aCambridge :bCambridge University Press,c1993. a1 online resource (172 pages) :bdigital, PDF file(s). atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier0 aLondon Mathematical Society Lecture Note Series ;vno. 180 aTitle from publisher's bibliographic system (viewed on 16 Oct 2015). aPesin 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. 0aErgodic theory 0aManifolds (Mathematics)08iPrint version: z9780521435932 dCambridge 0aLondon Mathematical Society Lecture Note Series ;vno. 180.40uhttp://dx.doi.org/10.1017/CBO9780511752537