Vertical martingales, stochastic calculus and harmonic sections

Details Vertical martingales, stochastic calculus and harmonic sections Vertical martingales, stochastic calculus and harmonic sections

2011-09-13

arxiv.org/abs/1109.2948v1

Mathematics

Probability

16 pages

Scientific paper

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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