English

Can time-homogeneous diffusions produce any distribution?

Probability 2011-03-24 v1

Abstract

Given a centred distribution, can one find a time-homogeneous martingale diffusion starting at zero which has the given law at time 1? We answer the question affirmatively if generalized diffusions are allowed.

Cite

@article{arxiv.1103.4371,
  title  = {Can time-homogeneous diffusions produce any distribution?},
  author = {Erik Ekström and David Hobson and Svante Janson and Johan Tysk},
  journal= {arXiv preprint arXiv:1103.4371},
  year   = {2011}
}
R2 v1 2026-06-21T17:43:08.693Z