English

Representations of the finite-dimensional point densities in Arratia flows with drift

Probability 2020-10-23 v3

Abstract

We derive representations for finite-dimensional densities of the point processed associated with an Arratia flow with drift in terms of conditional expectations of the stochastic exponentials appearing in the analog of the Girsanov theorem for Arratia flows.

Keywords

Cite

@article{arxiv.2009.05808,
  title  = {Representations of the finite-dimensional point densities in Arratia flows with drift},
  author = {A. A. Dorogovtsev and M. B. Vovchanskii},
  journal= {arXiv preprint arXiv:2009.05808},
  year   = {2020}
}