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Continuity of the Lyapunov Exponent for analytic quasi-perodic cocycles with singularities
the Lyapunov Exponent analytic quasi-perodic cocycles singularities Harper's model
2011/7/29
Abstract: We prove that the Lyapunov exponent of quasi-periodic cocyles with singularities behaves continuously over the analytic category. We thereby generalize earlier results, where singularities w...
We study the effect of a random perturbation on a one-parameter family of dynamical systems whose behavior in the absence of perturbation is ill understood.We provide conditions under which the pertur...
Positive Lyapunov exponent by a random perturbation
Lyapunov exponent random perturbation
2010/12/28
We study the effect of a random perturbation on a one-parameter family of dynamical systems whose behavior in the absence of perturbation is ill understood.We provide conditions under which the pertur...
Quenched Lyapunov exponent for the parabolic Anderson model in a dynamic random environment
Quenched Lyapunov exponent parabolic Anderson model
2010/11/9
We continue our study of the parabolic Anderson equation $\partial u/\partial t = \kappa\Delta u + \gamma\xi u$ for the space-time field $u\colon\,\Z^d\times [0,\infty)\to\R$, where $\kappa \in [0,\in...
Lyapunov exponent of the optical radiation scattered by the Brownian particles
light scattering Lyapunov exponent sulfur hydrosols
2011/5/6
The computer and physical simulation of light scattering by the system of Brownian particles has been carried out. Temporary fluctuations of field intensity have been found to save chaotic properties ...