2 papers
math.AP2026
On regularity of averaged Green's functions in homogenization of elliptic PDE
Joseph G. Conlon, Michael Dabkowski
This paper is concerned with establishing estimates on averaged Green's functions for a uniformly elliptic divergence form partial difference equation with random coefficients on t…
math-ph2024
Extensions of the Brascamp-Lieb Inequality and the Dipole Gas
Joseph G. Conlon, Michael Dabkowski
This paper is concerned with lattice field models in dimension at least 2. The action is a uniformly convex function of the gradient of the field. The main result Theorem 1.4 prove…