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On properties of a flow generated by an SDE with discontinuous drift

Probability 2014-04-10 v2

Abstract

We consider a stochastic flow on \mathdsR\mathds{R} generated by an SDE with its drift being a function of bounded variation. We show that the flow is differentiable with respect to the initial conditions. Asymptotic properties of the flow are studied.

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Cite

@article{arxiv.1207.1267,
  title  = {On properties of a flow generated by an SDE with discontinuous drift},
  author = {Olga V. Aryasova and Andrey Yu. Pilipenko},
  journal= {arXiv preprint arXiv:1207.1267},
  year   = {2014}
}

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19 pages