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arXiv · 1109.2948

Vertical martingales, stochastic calculus and harmonic sections

Simão Stelmastchuk
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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.

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Simão Stelmastchuk. 2012-10-17. Vertical martingales, stochastic calculus and harmonic sections. https://arxiv.org/abs/1109.2948

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