scientific article

zbMath0433.60073MaRDI QIDQ3871685

Gilles Royer

Publication date: 1980

Full work available at URL: http://www.numdam.org/item?id=AIHPB_1980__16_1_49_0

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

stochastic matricestransition semi-groupLjapunov index

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50)

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One-dimensional Schrödinger operators with random potentials ⋮ Théorèmes limite pour les systèmes linéaires a coefficient markoviens. (Limit theorems for linear systems with Markovian coefficients) ⋮ Lyapunov exponents and relative entropy for a stochastic flow of diffeomorphisms ⋮ Stability of the Markov operator and synchronization of Markovian random products ⋮ Counting and boundary limit theorems for representations of Gromov‐hyperbolic groups ⋮ Généricité d'exposants de Lyapunov non-nuls pour des produits déterministes de matrices. (Genericity of non-zero Lyapunov exponents for deterministic products of matrices) ⋮ Exponential mixing for random dynamical systems and an example of Pierrehumbert ⋮ Lower bounds on the Lyapunov exponents of stochastic differential equations ⋮ Extremal exponents of random dynamical systems do not vanish ⋮ Spectral theory of random self-adjoint operators ⋮ A regularity method for lower bounds on the Lyapunov exponent for stochastic differential equations ⋮ Étude des opérateurs de Schrödinger à potentiel aléatoire en dimension 1 ⋮ Furstenberg's theorem for nonlinear stochastic systems

Cites Work

• A pure point spectrum of the stochastic one-dimensional Schrödinger operator
• Operator-theoretical treatment of Markoff's process and mean ergodic theorem
• THE STRUCTURE OF EIGENFUNCTIONS OF ONE-DIMENSIONAL UNORDERED STRUCTURES
• Products of Random Matrices
• Noncommuting Random Products
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