Path continuity of fractional Dirichlet functionals
The main novelty of this paper is to apply the theory of Lyons of integration on rough paths in the set of fractional Dirichlet functionals. Lyons-Zheng decomposition of Dirichlet processes is highly used. Application is done to the study of the local time of the Brownian motion on a manifold.
scientific article; zbMATH DE number 1981565