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math.PR2019
Atypical exit events near a repelling equilibrium
Yuri Bakhtin, Hong-Bin Chen
We consider exit problems for small white noise perturbations of a dynamical system generated by a vector field, and a domain containing a critical point with all positive eigenval…
math.PR2019
Long exit times near a repelling equilibrium
Yuri Bakhtin, Hong-Bin Chen
For a smooth vector field in a neighborhood of a critical point with all positive eigenvalues of the linearization, we consider the associated dynamics perturbed by white noise. Us…