Long exit times near a repelling equilibrium

Hong-Bin Chen; Yuri Bakhtin

Long exit times near a repelling equilibrium

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arxiv 1908.11840 v2 pith:TQ3WIY6K submitted 2019-08-30 math.PR

Yuri Bakhtin , Hong-Bin Chen This is my paper · ORCID

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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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math.PR 2026-07 accept novelty 7.5 of 10

Under a Lie-algebra non-degeneracy condition, the top Lyapunov exponent of the slow-fast system (2.3) converges to E[λ(A(Z))] as the time-scale separation vanishes, implying ergodicity phase transitions in truncated f...

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