English

Zero noise limits using local times

Probability 2013-01-29 v1

Abstract

We consider a well-known family of SDEs with irregular drifts and the correspondent zero noise limits. Using (mollified) local times, we show which trajectories are selected. The approach is completely probabilistic and relies on elementary stochastic calculus only.

Keywords

Cite

@article{arxiv.1301.6510,
  title  = {Zero noise limits using local times},
  author = {Dario Trevisan},
  journal= {arXiv preprint arXiv:1301.6510},
  year   = {2013}
}
R2 v1 2026-06-21T23:16:19.377Z