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math.OC2024
A gradient flow on control space with rough initial condition
Paul Gassiat, Florin Suciu
We consider the (sub-Riemannian type) control problem of finding a path going from an initial point to a target point , by only moving in certain admissible directions. We a…
math.PR2024
Zero noise limit for singular ODE regularized by fractional noise
Łukasz Mądry, Paul Gassiat
We consider scalar ODE with a power singularity at the origin, regularized by an additive fractional noise. We show that, as the intensity in front of the noise goes to , the so…