English

Fake Exponential Brownian Motion

Probability 2012-10-05 v1

Abstract

We construct a fake exponential Brownian motion, a continuous martingale different from classical exponential Brownian motion but with the same marginal distributions, thus extending results of Albin and Oleszkiewicz for fake Brownian motions. The ideas extend to other diffusions.

Keywords

Cite

@article{arxiv.1210.1391,
  title  = {Fake Exponential Brownian Motion},
  author = {David G Hobson},
  journal= {arXiv preprint arXiv:1210.1391},
  year   = {2012}
}

Comments

8 pages

R2 v1 2026-06-21T22:16:12.565Z