David P. Herzog

activity

20102025

most citedThe Small-Mass Limit for Langevin Dynamics with Unbounded Coefficients and positive friction

32 citations · 115 across the 22 of their papers we have counts for

collaborators

Showing 2017Show all

2 papers · 1 filter

math.PR2017

Ergodicity and Lyapunov functions for Langevin dynamics with singular potentials

David P. Herzog, Jonathan C. Mattingly

We study Langevin dynamics of $N$ particles on $R^{d}$ interacting through a singular repulsive potential, e.g.~the well-known Lennard-Jones type, and show that the system converges…

math.PR2017

Scaling and Saturation in Infinite-Dimensional Control Problems with Applications to Stochastic Partial Differential Equations

Nathan E. Glatt-Holtz, David P. Herzog, Jonathan C. Mattingly

We establish the dual notions of scaling and saturation from geometric control theory in an infinite-dimensional setting. This generalization is applied to the low-mode control pro…