Foliated stochastic calculus: Harmonic measures
Differential Geometry
2014-03-21 v3
Abstract
In this article we present an intrinsec construction of foliated Brownian motion via stochastic calculus adapted to foliation. The stochastic approach together with a proposed foliated vector calculus provide a natural method to work on harmonic measures. Other results include a decomposition of the Laplacian in terms of the foliated and basic Laplacians, a characterization of totally invariant measures and a differential equation for the density of harmonic measures.
Keywords
Cite
@article{arxiv.1012.4450,
title = {Foliated stochastic calculus: Harmonic measures},
author = {Pedro J. Catuogno and Diego S. Ledesma and Paulo R. Ruffino},
journal= {arXiv preprint arXiv:1012.4450},
year = {2014}
}
Comments
To appear in Transactions of AMS