Martingale Schrödinger bridges extend to any dimension, minimize weighted quadratic energy from Brownian motion in continuous time, and coincide with Föllmer martingales in irreducible cases.
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Bridging classical and martingale Schr\"odinger bridges
Martingale Schrödinger bridges extend to any dimension, minimize weighted quadratic energy from Brownian motion in continuous time, and coincide with Föllmer martingales in irreducible cases.