7 citations · 9 across the 11 of their papers we have counts for
4 papers · 1 filter
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…
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…
Large deviation principles for singular Riesz-type diffusive flows
Elias Hess-Childs
We combine hydrodynamic and modulated energy techniques to study the large deviations of systems of particles with pairwise singular repulsive interactions and additive noise. Spec…
Higher-order propagation of chaos in for interacting diffusions
Elias Hess-Childs, Keefer Rowan
In this paper, we study diffusions with bounded pairwise interaction. We show for the first time propagation of chaos on arbitrary time horizons in a stronger -based distance,…