P. Dario

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20182020

most citedMassless Phases for the Villain model in

d \geq 3

3 citations · 3 across the 1 of their papers we have counts for

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math.PR2019

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 $d \geq 2$ and prove a quantitative homogenization theorem for thes…

math.PR2018

Quantitative homogenization of the disordered $\nabla ϕ$ model

Paul Dario

We study the $\nabla ϕ$ model with uniformly convex Hamiltonian $H (ϕ) := \sum V (\nabla ϕ)$ and prove a quantitative rate of convergence for the finite-volume surface ten…

math.PR2018

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 $d \geq 3$ and have logarithmic growth…

Quantitative homogenization of the parabolic and elliptic Green's functions on percolation clusters

Quantitative homogenization of the disordered ∇ϕ model

Optimal corrector estimates on percolation clusters

Quantitative homogenization of the disordered $\nabla ϕ$ model