Smooth Ergodic Theory of Random Dynamical Systems

This book studies ergodic-theoretic aspects of random dynam- ical systems, i.e. of deterministic systems with noise. It aims to present a systematic treatment of a series of recent results concerning invariant measures, entropy and Lyapunov exponents of such systems, and can be viewed as an update o...

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Autors principals: Liu, Pei-Dong, 1964-, Qian, Min, 1927-...., mathématicien (Autor)
Format: Livre numérique
Idioma:Anglais
Publicat: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Col·lecció:Lecture notes in mathematics 1606
Matèries:
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Accès Université d'Orléans
Accès INSA CVL
Nota: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Smooth ergodic theory of random dynamical systems, Pei-Dong Liu, Min Qian, 1995, Berlin, Springer, 1 volume (XI-221 pages), Lecture notes in mathematics, 3-540-60004-3
• Smooth Ergodic Theory of Random Dynamical Systems, Texte imprimé, 9783662200193
Taula de continguts:
  • Preliminaries
  • Entropy and Lyapunov exponents of random diffeomorphisms
  • Estimation of entropy from above through Lyapunov exponents
  • Stable invariant manifolds of random diffeomorphisms
  • Estimation of entropy from below through Lyapunov exponents
  • Stochastic flows of diffeomorphisms
  • Characterization of measures satisfying entropy formula
  • Random perturbations of hyperbolic attractors.