3 papers
math.AP2026
The Batchelor spectrum for a deterministically driven passive scalar
Kyle L. Liss, Jonathan C. Mattingly
We study the long-time behavior of a passive scalar transported by an incompressible flow in the presence of smooth, deterministic forcing. For a specific spatially Lipschitz and t…
math.CA2025
Discrete Bound States in a Toy Model for Weak Turbulence and Implications for the Invariant Measure
Jeremy L. Marzuola, Jonathan C. Mattingly
A model Hamiltonian dynamical system has been derived to study frequency cascades in the cubic defocusing nonlinear Schrödinger equation on the torus. Here, we explore the framewor…
cond-mat.stat-mech2020
Non-local SPDE limits of spatially-correlated-noise driven spin systems derived to sample a canonical distribution
Yuan Gao, Jeremy L. Marzuola, Jonathan Mattingly +1
We study the macroscopic behavior of a stochastic spin ensemble driven by a discrete Markov jump process motivated by the Metropolis-Hastings algorithm where the proposal is made w…