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Malliavin calculus approach to long exit times from an unstable equilibrium

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arxiv 1710.03293 v4 pith:WXWT3H3P submitted 2017-10-09 math.PR math.DS

Yuri Bakhtin , Zsolt Pajor-Gyulai This is my paper · ORCID
classification math.PRmath.DS
keywords exitcalculusequilibriumlongmalliavinnoiseunstableapproach
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For a one-dimensional smooth vector field in a neighborhood of an unstable equilibrium, we consider the associated dynamics perturbed by small noise. Using Malliavin calculus tools, we obtain precise vanishing noise asymptotics for the tail of the exit time and for the exit distribution conditioned on atypically long exits.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 6 citations worldwide. Full citation record

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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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