Showing math.APShow all
2 papers · 1 filter
math.AP2025
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.AP2025
Fourier mass lower bounds for Batchelor-regime passive scalars
William Cooperman, Keefer Rowan
Batchelor predicted that a passive scalar with diffusivity , advected by a smooth fluid velocity, should typically have Fourier mass distributed as $|\hat Ï^ν|^2(k) \…