Random dynamical systems · Stochastic analysis

Dennis Chemnitz

Postdoctoral researcher
Department of Mathematics · ETH Zürich

I study the dynamics of stochastic evolution equation. I am particularly interested in system arising in stochastic fluid dynamics and the theory of machine learning.

I am funded by DFG SPP 2410 “CoScaRa”. I am also an external member of the Stochastic Analysis in the Sciences (SAiS) research group, led by Benjamin Gess.

View publications Research interests

Google Scholar ETH profile

Random dynamical systems

Lyapunov exponents, stability, and stochastic flows.

Stochastic fluid dynamics

Mixing, dissipation, and the Batchelor scale.

Mathematics of machine learning

Gradient descent and dynamical stability.

Selected work

All publications

2025

Preprint

Mixing at the Batchelor Scale for White-In-Time Flows

Robin Chemnitz, Dennis Chemnitz

arXiv:2512.04297 · Revised June 2026

PDF arXiv

2025

Published

Characterizing Dynamical Stability of Stochastic Gradient Descent in Overparameterized Learning

Dennis Chemnitz, Maximilian Engel

Journal of Machine Learning Research 26(134), 1–46

PDF Journal arXiv

2026