3 papers
math.AP2025
Fronts in dissipative Fermi-Pasta-Ulam-Tsingou chains
Michael Herrmann, Guillaume James, Karsten Matthies
In a dissipative Fermi-Pasta-Ulam-Tsingou chain particles interact with their nearest neighbors through anharmonic potentials and linear dissipative forces. We prove the existence…
nlin.PS2024
Hydrodynamics of a Discrete Conservation Law
Patrick Sprenger, Christopher Chong, Emmanuel Okyere +3
The Riemann problem for the discrete conservation law is classified using Whitham modulation theory, a quasi-continuum approximation, and…
math.PR2023
Sub-Riemannian Random Walks: From Connections to Retractions
Michael Herrmann, Pit Neumann, Simon Schwarz +2
We study random walks on sub-Riemannian manifolds using the framework of retractions, i.e., approximations of normal geodesics. We show that such walks converge to the correct hori…