Random Perturbations of Dynamical Systems - Tapa blanda

Sinopsis

I. General analysis of random perturbations.- 1.1. Convergence of invariant measures.- 1.2. Entropy via random perturbations: generalities.- 1.3. Locating invariant sets.- 1.4. Attractors and limiting measures.- 1.5. Attractors and limiting measures via large deviations.- II. Random perturbations of hyperbolic and expanding transformations.- 2.1. Preliminaries.- 2.2. Markov chains in tangent bundles.- 2.3. Hyperbolic and expanding transformations.- 2.4. Limiting measures.- 2.5. Sinai-Bowen-Ruelle's measures. Discussion..- 2.6. Entropy via random perturbations.- 2.7. Stability of the topological pressure.- 2.8. Appendix: proof of (1.12).- III. Applications to partial differential equations.- 3.1. Principal eigenvalue and invariant sets.- 3.2. Localization theorem.- 3.3. Random perturbations and spectrum.- IV. Random perturbations of some special models.- 4.1. Random perturbations of one-dimensional transformations.- 4.2. Misiurewicz's maps of an interval.- 4.3. Lorenz's type models.

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