Synopsis
I. General analysis of random maps.- 1.1. Markov chains as compositions of random maps.- 1.2. Invariant measures and ergodicity.- 1.3. Characteristic exponents in metric spaces.- II. Entropy characteristics of random transformations.- 2.1. Measure theoretic entropies.- 2.2. Topological entropy.- 2.3. Topological pressure.- III. Random bundle maps.- 3.1. Oseledec's theorem and the "non-random" multiplicative ergodic theorem.- 3.2. Biggest characteristic exponent.- 3.3. Filtration of invariant subbundles.- IV. Further study of invariant subbundles and characteristic exponents.- 4.1. Continuity of invariant subbundles.- 4.2 Stability of the biggest exponent.- 4.3. Exponential growth rates.- V. Smooth random transformations.- 5.1. Random diffeomorphisms.- 5.2. Stochastic flows.- A. 1. Ergodic decompositions.- A.2. Subadditive ergodic theorem.- References.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
