Long exit times near a repelling equilibrium

Yuri Bakhtin; Hong-Bin Chen

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arXiv · 1908.11840

Long exit times near a repelling equilibrium

Yuri Bakhtin·Hong-Bin Chen

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Abstract

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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Yuri Bakhtin, Hong-Bin Chen. 2019-08-30. Long exit times near a repelling equilibrium. https://arxiv.org/abs/1908.11840

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