Helge Dietert

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20232026

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math.AP2025

Nash's $G$ bound for the Kolmogorov equation

Helge Dietert, Lukas Niebel

We prove Nash's $G$ bound for the Kolmogorov equation with rough coefficients. Our proof is inspired by the treatment of the parabolic problem by Nash (1958) and Fabes and Stroock…

math.AP2025

Critical trajectories in kinetic geometry

Helge Dietert, Clément Mouhot, Lukas Niebel +1

We construct critical trajectories in kinetic geometry, i.e. curves in $R^{1 + 2 n}$ that are: tangential to the vector fields $\partial_{t} + v \cdot \nabla_{x}$ and $\nabla_{v}$ , co…

Nash's G bound for the Kolmogorov equation

Critical trajectories in kinetic geometry

Nash's $G$ bound for the Kolmogorov equation