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Reflecting a Langevin Process at an Absorbing Boundary

Research paper by Jean Bertoin

Indexed on: 26 Jan '06Published on: 26 Jan '06Published in: Mathematics - Probability



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.