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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Showing 2023Show all

3 papers · 1 filter

math.AP2023

Unique continuation on planar graphs

Ahmed Bou-Rabee, William Cooperman, Shirshendu Ganguly

We show that a discrete harmonic function which is bounded on a large portion of a periodic planar graph is constant. A key ingredient is a new unique continuation result for the w…

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…

math.AP2023

Slow periodic homogenization for Hamilton-Jacobi equations

William Cooperman

Capuzzo-Dolcetta and Ishii proved that the rate of periodic homogenization for coercive Hamilton-Jacobi equations is $O (ε^{1/3})$ . We complement this result by constructi…