English

On Martingale Transformations of Multidimensional Brownian Motion

Probability 2020-06-17 v1

Abstract

We describe the class of functions f:RnRmf: R^n\to R^m which transform a vector Brownian Motion into a martingale and use this description to give martingale characterization of the general measurable solution of the multidimensional Cauchy functional equation.

Keywords

Cite

@article{arxiv.2006.08986,
  title  = {On Martingale Transformations of Multidimensional Brownian Motion},
  author = {Michael Mania and Revaz Tevzadze},
  journal= {arXiv preprint arXiv:2006.08986},
  year   = {2020}
}

Comments

12 pages

R2 v1 2026-06-23T16:21:50.873Z