Vertical martingales, stochastic calculus and harmonic sections
Probability
2012-10-18 v2
Abstract
This work is about a new class of martingales: the vertical martingales. We construct the vertical martingale for smooth submersions and we develop a stochastic calculus for one. Furthermore, we gives a stochastic characterization for harmonic sections.
Keywords
Cite
@article{arxiv.1109.2948,
title = {Vertical martingales, stochastic calculus and harmonic sections},
author = {Simão Stelmastchuk},
journal= {arXiv preprint arXiv:1109.2948},
year = {2012}
}
Comments
16 pages