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math.AP2021
Quantitative stochastic homogenization of the G equation
William Cooperman
We prove a quantitative rate of homogenization for the G equation in a random environment with finite range of dependence. Using ideas from percolation theory, the proof bootstraps…
math.AP2021★ 7 cited
A near-optimal rate of periodic homogenization for convex Hamilton-Jacobi equations
William Cooperman
We consider a Hamilton-Jacobi equation where the Hamiltonian is periodic in space and coercive and convex in momentum. Combining the representation formula from optimal control the…