English

Stability of densities for perturbed degenerate Diffusions

Probability 2016-02-19 v1

Abstract

We study the sensitivity of the densities of some Kolmogorov like degenerate diffusion processes with respect to a perturbation of the coefficients of the non-degenerate component. Under suitable (quite sharp) assumptions we quantify how the pertubation of the SDE affects the density. Natural applications of these results appear in various fields from mathematical finance to kinetic models.

Keywords

Cite

@article{arxiv.1602.04770,
  title  = {Stability of densities for perturbed degenerate Diffusions},
  author = {A. Kozhina},
  journal= {arXiv preprint arXiv:1602.04770},
  year   = {2016}
}

Comments

arXiv admin note: text overlap with arXiv:1506.08758

R2 v1 2026-06-22T12:50:36.457Z