# Long exit times near a repelling equilibrium

@article{Bakhtin2019LongET,
title={Long exit times near a repelling equilibrium},
author={Yuri Bakhtin and Hong-Bin Chen},
journal={arXiv: Probability},
year={2019}
}
• Published 30 August 2019
• Mathematics
• arXiv: Probability
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. Using Malliavin calculus tools, we obtain polynomial asymptotics for probabilities of atypically long exit times in the vanishing noise limit.
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