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Abrupt convergence for stochastic small perturbations of one dimensional dynamical systems | Gerardo Barrera
; Milton Jara
; | Date: |
30 Oct 2015 | Abstract: | We study the cut-off phenomenon for a family of stochastic small
perturbations of a one dimensional dynamical system. We will focus in a
semi-flow of a deterministic differential equation which is perturbed by adding
to the dynamics a white noise of small variance. Under suitable hypothesis on
the potential we will prove that the family of perturbed stochastic
differential equations present a profile cut-off phenomenon with respect to the
total variation distance. We also prove a local cut-off phenomenon in a
neighborhood of the local minima (metastable states) of multi-well potential. | Source: | arXiv, 1511.0003 | Services: | Forum | Review | PDF | Favorites |
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