An intermediate regime for exit phenomena driven by non-Gaussian Levy noises
Abstract
Description
A dynamical system driven by non-Gaussian Lévy noises of small intensity is considered. The first exit time of solution orbits from a bounded neighborhood of an attracting equilibrium state is estimated. For a class of non-Gaussian Lévy noises, it is shown that the mean exit time is asymptotically faster than exponential (the well-known Gaussian Brownian noise case) but slower than polynomial (the stable Lévy noise case), in terms of the reciprocal of the small noise intensity.
Stochastics and Dynamics, to appear, Vol 8, No 3, 2008
Stochastics and Dynamics, to appear, Vol 8, No 3, 2008