Editorial Boar d Jerry L . Bon a (Chair ) Nige l J . Hitchi n Jean-Luc Brylinsk i Nicola i Reshetikhi n 2000 Mathematics Subject Classification. Primar y 37D25 , 37C40 . ABSTRACT. Thi s boo k provide s a systemati c introductio n t o smoot h ergodi c theory , includin g the genera l theor y o f Lyapuno v exponents , nonunifor m hyperboli c theory , stabl e manifol d the - ory emphasizin g absolut e continuit y o f invarian t foliations , an d th e ergodi c theor y o f dynamica l systems wit h nonzer o Lyapuno v exponents . Th e boo k ca n b e use d a s a primar y textboo k fo r a special topic s cours e o n nonunifor m hyperbolicit y o r a s supplementar y readin g fo r a basi c cours e on dynamica l systems . Library o f Congres s Cataloging-in-Publicatio n Dat a Barreira, Luis , 1968 - Lyapunov exponent s an d smoot h ergodi c theor y / Lui s Barreir a an d Yako v B . Pesin . p. cm . (Universit y lectur e series , ISS N 1047-399 8 v. 23 ) Includes bibliographica l reference s an d index . ISBN 0-8218-2921- 1 (alk . paper ) 1. Ergodi c theory . 2 . Lyapuno v exponents . I . Pesin , Ya . B . II . Title . III . Universit y lec - ture serie s (Providence , R.I. ) 23. QA611.5.B37 200 1 515'.42—dc21 200104588 2 Copying an d reprinting . Individua l reader s o f thi s publication , an d nonprofi t librarie s acting fo r them , ar e permitte d t o mak e fai r us e o f th e material , suc h a s t o cop y a chapte r fo r us e in teachin g o r research . Permissio n i s grante d t o quot e brie f passage s fro m thi s publicatio n i n reviews, provide d th e customar y acknowledgmen t o f th e sourc e i s given . Republication, systemati c copying , o r multipl e reproductio n o f any materia l i n this publicatio n is permitte d onl y unde r licens e fro m th e America n Mathematica l Society . Request s fo r suc h permission shoul d b e addressed t o the Assistan t t o the Publisher , America n Mathematica l Society , P. O. Bo x 6248 , Providence , Rhod e Islan d 02940-6248 . Request s ca n als o b e mad e b y e-mai l t o reprint-permissionOams.org. © 200 2 b y th e America n Mathematica l Society . Al l right s reserved . The America n Mathematica l Societ y retain s al l right s except thos e grante d t o th e Unite d State s Government . Printed i n th e Unite d State s o f America . @ Th e pape r use d i n thi s boo k i s acid-fre e an d fall s withi n th e guideline s established t o ensur e permanenc e an d durability . Visit th e AM S hom e pag e a t URL : http://www.ams.org / 10 9 8 7 6 5 4 3 2 1 0 7 0 6 0 5 0 4 0 3 0 2
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