English

SDE with oblique reflection on domains defined by multiple constraints

Probability 2013-06-17 v1

Abstract

We present simple assumptions on the constraints defining a hard core dynamics for the associated reflected stochastic differential equation to have a unique strong solution. Time-reversibility is proven for gradient systems with normal reflection, or oblique reflection with a fixed oblicity matrix. An application is given concerning the clustering at equilibrium of particles around a large attractive sphere.

Keywords

Cite

@article{arxiv.1112.3242,
  title  = {SDE with oblique reflection on domains defined by multiple constraints},
  author = {Myriam Fradon},
  journal= {arXiv preprint arXiv:1112.3242},
  year   = {2013}
}

Comments

11 pages, 1 figure

R2 v1 2026-06-21T19:51:15.142Z