Bibliothèque de L'IMIST/CNRST

Notes.

Preface -- Introduction -- Symbolic systems -- Geometric constructions -- The spectrum of dimensions for Poincaré recurrences -- Uniformly hyperbolic repellers -- Non-uniformly hyperbolic repellers -- The spectrum of a sticky set -- Rhythmical dynamics -- Morkov maps of the interval -- Suspended flows -- Invariant measuresures and Poincaré recurrences -- Dimensions for measures and q-pointwise dimension -- The variational principle -- Intuitive explanation of some notions and results of this book -- Poincaré recurrences in Hamiltonian systems -- Chaos synchronization -- Some known facts about recurrences -- Birkhoff's individual theorem -- The Shannon-McMillan-Breiman theorem -- Amalgamation and fragmentation.