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Stability of the overdamped Langevin equation in double-well potential

Published 28 Jul 2018 in math.PR | (1807.10922v1)

Abstract: In this article, we discuss stability of the one-dimensional overdamped Lange-vin equation in double-well potential. We determine unstable and stable equilibria, and discuss the rate of convergence to stable ones. Also, we derive conditions for stability of general diffusion processes which generalize the classical and well-known results of Khasminskii 2012.

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