3 papers
math.PR2026
Quantitative Error Estimates for Learning Macroscopic Mobilities from Microscopic Fluctuations
Nicolas Dirr, Zhengyan Wu, Johannes Zimmer
We develop quantitative error estimates connecting microscopic fluctuation of interacting particle systems with the mobilities of their hydrodynamic limits. Focusing on the Symmetr…
math.PR2025
Reversibility, covariance and coarse-graining for Langevin dynamics: On the choice of multiplicative noise
Mario Ayala, Nicolas Dirr, Grigorios A. Pavliotis +1
We study the interplay between reversibility, geometry, and the choice of multiplicative noise (in particular Itô, Stratonovich, Klimontovich) in stochastic differential equations…
math.AP2024
Horizontal mean curvature flow as a scaling limit of a mean field equation in the Heisenberg group
Giovanna Citti, Nicolas Dirr, Federica Dragoni +1
We derive curvature flows in the Heisenberg group by formal asymptotic expansion of a nonlocal mean-field equation under the anisotropic rescaling of the Heisenberg group. This is…