Lyapunov Exponents

Inhaltsverzeichnis

• Lyapunov exponents: A survey.
• Oscillation des produits de matrices aleatoires dont l'exposant de lyapounov est nul.
• Unique ergodicity and random matrix products.
• Positivity of the exponent for stationary sequences of matrices.
• Characteristic exponents for random homeomorphisms of metric spaces.
• Lyapunov exponents of linear stochastic systems.
• Addendum a note on transitivity of coupled control systems.
• Almost sure and moment stability for linear ito equations.
• Almost sure instability of a class of linear stochastic systems with jump process coefficients.
• On a generalization of the Lyapunov exponent of a second order linear stochastic differential equation.
• Parameter dependence of the Lyapunov exponent for linear stochastic systems. A survey.
• An example concerning the geometric significance of the rotation number — integrated density of states.
• Lyapunov exponents for schrödinger operators with random, but deterministic potentials.
• Lyapunov exponents and one-dimensional alloys.
• Resonance states in disordered systems.
• The Lyapounov index, the density of states and their regularity for general stochastic potentials.
• Computations of the sum of positive Lyapunov exponents for the Lloyd model in a strip.
• Statistics of reflected pulses.
• Lyapunov exponents and invariant measures of stochastic systems on manifolds.
• Survey: Lyapunov exponents for stochastic flows on manifolds.
• Bounds for average Lyapunov exponents of gradient stochastic systems.
• The Lyapunov spectrum of a stochastic flow of diffeomorphisms.
• Lyapunov exponents and phase transitions in dynamical systems.
• Coupling sensitivity and cliff in chaotic dynamics.