Scaling limit for escapes from unstable equilibria in the vanishing noise limit: Nontrivial Jordan block case

@article{Bakhtin2019ScalingLF,
  title={Scaling limit for escapes from unstable equilibria in the vanishing noise limit: Nontrivial Jordan block case},
  author={Yuri Bakhtin and Zsolt Pajor-Gyulai},
  journal={Stochastics and Dynamics},
  year={2019}
}
We consider white noise perturbations of a nonlinear dynamical system in the neighborhood of an unstable critical point with linearization given by a Jordan block of full dimension. For the associated exit problem, we study the joint limiting behavior of the exit location and exit time, in the vanishing noise limit. The exit typically happens near one of two special deterministic points associated with the eigendirection, and we obtain several more terms in the expansion for the exit point. The… 
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