Exit asymptotics for small diffusion about an unstable equilibrium

Details Exit asymptotics for small diffusion about an unstable equilibrium Exit asymptotics for small diffusion about an unstable equilibrium

2007-01-22

arxiv.org/abs/math/0701569v3

Mathematics

Probability

13 pages

Scientific paper

10.1016/j.spa.2007.06.003

A dynamical system perturbed by white noise in a neighborhood of an unstable
fixed point is considered. We obtain the exit asymptotics in the limit of
vanishing noise intensity. This is a refinement of a result by Kifer (1981).

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