- 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.
- Publisher copy:
- 10.1214/12-AOP821
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- Journal:
- Annals of Probability
- Volume:
- 41
- Issue:
- 4
- Pages:
- 3026-3050
- Publication date:
- 2011-04-10
- DOI:
- URN:
-
uuid:3d5c6826-b844-41bc-bbf6-687496db3d79
- Source identifiers:
-
366680
- Local pid:
- pubs:366680
- Keywords:
- Copyright date:
- 2011
- Notes:
-
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)
Journal article
Integrability and tail estimates for Gaussian rough differential equations
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