211 citations · 904 across the 51 of their papers we have counts for
60 papers
Phase space contraction of degenerately damped random splittings
David P. Herzog, Jonathan C. Mattingly
When studying out-of-equilibrium systems, one often excites the dynamics in some degrees of freedom while removing the excitation in others through damping. In order for the system…
Multiscale Parallel Tempering for Fast Sampling on Redistricting Plans
Gabriel Chuang, Gregory Herschlag, Jonathan C. Mattingly
When auditing a redistricting plan, a persuasive method is to compare the plan with an ensemble of neutrally drawn redistricting plans. Ensembles are generated via algorithms that…
Optimal enhanced dissipation and mixing for a time-periodic, Lipschitz velocity field on
Tarek M. Elgindi, Kyle Liss, Jonathan C. Mattingly
We consider the advection-diffusion equation on with a Lipschitz and time-periodic velocity field that alternates between two piecewise linear shear flows. We prove…
Random Splitting of Fluid Models: Positive Lyapunov Exponents
Andrea Agazzi, Jonathan C. Mattingly, Omar Melikechi
In this paper we give sufficient conditions for random splitting systems to have a positive top Lyapunov exponent. We verify these conditions for random splittings of two fluid mod…
Random Splitting of Fluid Models: Ergodicity and Convergence
Andrea Agazzi, Jonathan C. Mattingly, Omar Melikechi
We introduce a family of stochastic models motivated by the study of nonequilibrium steady states of fluid equations. These models decompose the deterministic dynamics of interest…
Gibbsian dynamics and the generalized Langevin equation
David P. Herzog, Jonathan C. Mattingly, Hung D. Nguyen
We study the statistically invariant structures of the nonlinear generalized Langevin equation (GLE) with a power-law memory kernel. For a broad class of memory kernels, including…