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A note on symmetries of diffusions within a martingale problem approach

Published 1 Jul 2017 in math.PR and math.DG | (1707.00128v1)

Abstract: A geometric reformulation of the martingale problem associated with a set of diffusion processes is proposed. This formulation, based on second order geometry and Ito integration on manifolds, allows us to give a natural and effective definition of Lie symmetries for diffusion processes.

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