3 citations · 3 across the 1 of their papers we have counts for
5 papers
Massless Phases for the Villain model in
Paul Dario, Wei Wu
We consider the classical Villain rotator model in at sufficiently low temperature, and prove that the truncated two-point function decays asymptotically as…
Quantitative homogenization of the parabolic and elliptic Green's functions on percolation clusters
Paul Dario, Chenlin Gu
We study the heat kernel and the Green's function on the infinite supercritical percolation cluster in dimension and prove a quantitative homogenization theorem for thes…
Quantitative homogenization of the disordered model
Paul Dario
We study the model with uniformly convex Hamiltonian and prove a quantitative rate of convergence for the finite-volume surface ten…
Quantitative Homogenization of Differential Forms
Paul Dario
We develop a quantitative theory of stochastic homogenization in the more general framework of differential forms. Inspired by recent progress in the uniformly elliptic setting, th…
Optimal corrector estimates on percolation clusters
Paul Dario
We prove optimal quantitative estimates on the first-order correctors on supercritical percolation clusters: we show that they are bounded in and have logarithmic growth…