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math.PR2026
Effective Lagrangian regularity and the uniqueness threshold for random Hölder velocity fields
Maria Colombo, Elias Hess-Childs, Keefer Rowan
We study the behavior of the ordinary differential equations, flow maps, and continuity equations associated to autonomous random velocity fields that admit a natural multiscale fi…
math.PR2026
Sharp pathwise nonuniqueness for additive SDEs
Elias Hess-Childs, Keefer Rowan
We construct a family of velocity fields demonstrating the sharpness of the classical Zvonkin--Veretennikov--Davie strong well-posedness by noise regime. We consider stochastic dif…