Integrability and tail estimates for Gaussian rough differential equations
Probability
2013-07-26 v5
Abstract
We derive explicit tail-estimates for the Jacobian of the solution flow for stochastic differential equations driven by Gaussian rough paths. In particular, we deduce that the Jacobian has finite moments of all order for a wide class of Gaussian process including fractional Brownian motion with Hurst parameter H>1/4. We remark on the relevance of such estimates to a number of significant open problems.
Cite
@article{arxiv.1104.1813,
title = {Integrability and tail estimates for Gaussian rough differential equations},
author = {Thomas Cass and Christian Litterer and Terry Lyons},
journal= {arXiv preprint arXiv:1104.1813},
year = {2013}
}
Comments
Published in at http://dx.doi.org/10.1214/12-AOP821 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)