William Cooperman

activity

20212026

most citedA near-optimal rate of periodic homogenization for convex Hamilton-Jacobi equations

7 citations · 7 across the 12 of their papers we have counts for

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3 papers · 1 filter

math.PR2025

Exponentially mixing flows with slow enhanced dissipation

William Cooperman, Gautam Iyer, Keefer Rowan +1

Consider a passive scalar which is advected by an incompressible flow $u$ and has small molecular diffusivity $κ$ . Previous results show that if $u$ is exponentially mixing and $C^…

math.PR2025

Residual Diffusivity for Expanding Bernoulli Maps

William Cooperman, Gautam Iyer, James Nolen

Consider a discrete time Markov process $X^{ε}$ on $R^{d}$ that makes a deterministic jump based on its current location, and then takes a small Gaussian step of variance $ε^{2}$ …

math.PR2023

Rigidity of harmonic functions on the supercritical percolation cluster

Ahmed Bou-Rabee, William Cooperman, Paul Dario

We use ideas from quantitative homogenization to show that nonconstant harmonic functions on the percolation cluster cannot satisfy certain structural constraints, for example, a L…