211 citations · 904 across the 51 of their papers we have counts for
Showing 2011Show all
2 papers · 1 filter
math.PR2011
Propagating Lyapunov Functions to Prove Noise--induced Stabilization
Avanti Athreya, Tiffany Kolba, Jonathan C. Mattingly
We investigate an example of noise-induced stabilization in the plane that was also considered in (Gawedzki, Herzog, Wehr 2010) and (Birrell, Herzog, Wehr 2011). We show that despi…
math.PR2011★ 4 cited
Geometric Ergodicity of Two--dimensional Hamiltonian systems with a Lennard--Jones--like Repulsive Potential
Ben Cooke, David P. Herzog, Jonathan C. Mattingly +2
In this paper we establish the ergodicity of Langevin dynamics for simple two-particle system involving a Lennard-Jones type potential. To the best of our knowledge, this is the fi…