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math.PR2026
Bridging Schrödinger and Bass: A Semimartingale Optimal Transport Problem with Diffusion Control
Pierre Henry-Labordere, Grégoire Loeper, Othmane Mazhar +2
We study a semimartingale optimal transport problem interpolating between the Schrödinger bridge and the stretched Brownian motion associated with the Bass solution of the Skorokh…
math.PR2025
Geometric Martingale Benamou-Brenier transport and geometric Bass martingales
Julio Backhoff, Gregoire Loeper, Jan Obloj
We introduce and study geometric Bass martingales. Bass martingales were introduced in \cite{Ba83} and studied recently in a series of works, including \cite{BaBeHuKa20,BaBeScTs23}…