1 citations · 1 across the 3 of their papers we have counts for
6 papers
Cutoff in the Bernoulli-Laplace model with swaps
Joseph S. Alameda, Caroline Bang, Zachary Brennan +3
This paper considers the -Bernoulli--Laplace model in the case when there are two urns, the total number of red and white balls is the same, and the number of selections …
A functional Law of the Iterated Logarithm for weakly hypoelliptic diffusions at time zero
Marco Carfagnini, Juraj Foldes, David P. Herzog
We study the almost sure behavior of solutions of stochastic differential equations (SDEs) as time goes to zero. Our main general result establishes a functional law of the iterate…
Sensitivity of steady states in a degenerately-damped stochastic Lorenz system
Juraj Foldes, Nathan E. Glatt-Holtz, David P. Herzog
We study stability of solutions for a randomly driven and degenerately damped version of the Lorenz '63 model. Specifically, we prove that when damping is absent in one of the temp…
Exponential relaxation of the Nosé-Hoover equation under Brownian heating
David P. Herzog
We study a stochastic perturbation of the Nosé-Hoover equation (called the Nosé-Hoover equation under Brownian heating) and show that the dynamics converges at a geometric rate to…
The Generalized Langevin Equation with a power-law memory in a nonlinear potential well
Nathan Glatt-Holtz, David Herzog, Scott McKinley +1
The generalized Langevin equation (GLE) is a stochastic integro-differential equation that has been used to describe the velocity of microparticles in viscoelastic fluids. In this…
Ergodicity and Lyapunov functions for Langevin dynamics with singular potentials
David P. Herzog, Jonathan C. Mattingly
We study Langevin dynamics of particles on interacting through a singular repulsive potential, e.g.~the well-known Lennard-Jones type, and show that the system converges…