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math.PR2026
Path-Dependent Ergodic Optimal Control and Backward Stochastic Differential Equations
Xuyang Lin, Mathieu Lise, Nizar Touzi
We investigate a new class of infinite-horizon backward stochastic differential equations for ergodic optimal control where the cost and state dynamics are time and path-dependent.…
math.PR2026
A PDE Derivation of the Schrödinger--Bass Bridge
Alexandre Alouadi, Pierre Henry-Labordère, Grégoire Loeper +3
This short paper announces the main results of \cite{SBB2026}, where the Schrödinger--Bass Bridge (SBB) problem is introduced and studied in full generality. Here we provide a dire…