3 papers
cs.SI2026
A Cycle Walk for Sampling Measures on Spanning Forests for Redistricting
Daryl R. DeFord, Gregory Herschlag, Jonathan C. Mattingly
We introduce the Cycle Walk, a new Markov chain Monte Carlo method for sampling distributions on balanced graph partitions, motivated by applications in political redistricting. Th…
math.PR2025
A central limit theorem for random tangent fields on stratified spaces
Jonathan C. Mattingly, Ezra Miller, Do Tran
Variation of empirical Fréchet means on a metric space with curvature bounded above is encoded via random fields indexed by unit tangent vectors. A central limit theorem shows the…
math.AP2024
A pathwise approach to the enhanced dissipation of passive scalars advected by shear flows
Victor Gardner, Kyle L. Liss, Jonathan C. Mattingly
We develop a framework for studying the enhanced dissipation of passive scalars advected by shear flows based on analyzing the particle trajectories of the stochastic differential…