Journal title
Electronic Journal of Probability
DOI
10.1214/18-EJP184
Volume
23
Last updated
2020-09-27T10:18:15.66+01:00
Abstract
We establish two results concerning a class of geometric rough paths X which arise as Markov processes associated to uniformly subelliptic Dirichlet forms. The first is a support theorem for X in α-Hölder rough path topology for all α∈(0,1/2), which proves a conjecture of Friz–Victoir [13]. The second is a Hörmander-type theorem for the existence of a density of a rough differential equation driven by X, the proof of which is based on analysis of (non-symmetric) Dirichlet forms on manifolds.
Symplectic ID
854473
Submitted to ORA
On
Publication type
Journal Article
Publication date
11 June 2018