English

Reflecting a Langevin Process at an Absorbing Boundary

Probability 2007-05-23 v1

Abstract

We consider a Langevin process with white noise random forcing. We suppose that the energy of the particle is instantaneously absorbed when it hits some fixed obstacle. We show that nonetheless, the particle can be instantaneously reflected, and study some properties of this reflecting solution.

Keywords

Cite

@article{arxiv.math/0601657,
  title  = {Reflecting a Langevin Process at an Absorbing Boundary},
  author = {Jean Bertoin},
  journal= {arXiv preprint arXiv:math/0601657},
  year   = {2007}
}