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020 _a9781139976602 (ebook)
020 _z9781107081734 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA372
_b.V53 2014
082 0 0 _a515/.48
_223
100 1 _aViana, Marcelo,
_eauthor.
245 1 0 _aLectures on Lyapunov exponents /
_cMarcelo Viana, Instituto Nacional de Matemática Pura e Aplicada (IMPA), Rio de Janeiro.
264 1 _aCambridge :
_bCambridge University Press,
_c2014.
300 _a1 online resource (xiv, 202 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge studies in advanced mathematics ;
_v145
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 8 _aMachine generated contents note: Preface; 1. Introduction; 2. Linear cocycles; 3. Extremal Lyapunov exponents; 4. Multiplicative ergodic theorem; 5. Stationary measures; 6. Exponents and invariant measures; 7. Invariance principle; 8. Simplicity; 9. Generic cocycles; 10. Continuity; References; Index.
520 _aThe theory of Lyapunov exponents originated over a century ago in the study of the stability of solutions of differential equations. Written by one of the subject's leading authorities, this book is both an account of the classical theory, from a modern view, and an introduction to the significant developments relating the subject to dynamical systems, ergodic theory, mathematical physics and probability. It is based on the author's own graduate course and is reasonably self-contained with an extensive set of exercises provided at the end of each chapter. This book makes a welcome addition to the literature, serving as a graduate text and a valuable reference for researchers in the field.
650 0 _aLyapunov exponents.
776 0 8 _iPrint version:
_z9781107081734
830 0 _aCambridge studies in advanced mathematics ;
_v145.
856 4 0 _uhttps://doi.org/10.1017/CBO9781139976602
907 _a.b16844877
_b2020-12-22
_c2020-12-22
942 _n0
998 _a1
_b2020-12-22
_cm
_da
_feng
_genk
_y0
_z.b16844877
999 _c651830
_d651830