Lian Z. Lyapunov exponents and invariant manifolds for random dynamical systems in a Banach space / L.Zeng, K.Lu. - Providence: American Mathematical Society, 2010. - v, 106 p. - (Memoirs of the American mathematical society; Vol.206, N 967). - Bibliogr.: p.105-106. - ISBN 978-0-8218-4656-8; ISSN 0065-9266  Место хранения:   013 | Институт математики СО РАН | Новосибирск | Библиотека

Оглавление / Contents

Chapter 1. Introduction ......................................... 1 Acknowledgement ...................................... 6 Chapter 2. Random Dynamical Systems and Measures of Noncompactness ....................................... 7 Chapter 3. Main Results ......................................... 9 Chapter 4. Volume Function in Banach Spaces .................... 15 Chapter 5. Gap and Distance Between Closed Linear Subspaces .... 25 Chapter 6. Lyapunov Exponents and Oseledets Spaces ............. 29 Chapter 7. Measurable Random Invariant Complementary Subspaces ........................................... 57 Chapter 8. Proof of Multiplicative Ergodic Theorem ............. 71 Chapter 9. Stable and Unstable Manifolds ....................... 73 Appendix A. Subadditive Ergodic Theorem ........................ 95 Appendix B. Non-ergodic Case ................................... 97 Bibliography .................................................. 105