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Random dynamical systems, rough paths and rough flows
- Publication Year :
- 2016
-
Abstract
- We analyze common lifts of stochastic processes to rough paths/rough drivers-valued processes and give sufficient conditions for the cocycle property to hold for these lifts. We show that random rough differential equations driven by such lifts induce random dynamical systems. In particular, our results imply that rough differential equations driven by the lift of fractional Brownian motion in the sense of Friz-Victoir induce random dynamical systems.<br />Comment: 27 pages
- Subjects :
- Mathematics - Probability
60H10
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1612.01955
- Document Type :
- Working Paper