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4 papers
Decay of semigroup for an infinite interacting particle system on continuum configuration spaces
Chenlin Gu
We show the heat kernel type variance decay , up to a logarithmic correction, for the semigroup of an infinite particle system on , where every part…
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…
An efficient algorithm for solving elliptic problems on percolation clusters
Chenlin Gu
We present an efficient algorithm to solve elliptic Dirichlet problems defined on the cluster of supercritical Bernoulli percolation, as a generalization of the iter…
Uniform estimate of an iterative method for elliptic problems with rapidly oscillating coefficients
Chenlin Gu
We study the iterative algorithm proposed by S. Armstrong, A. Hannukainen, T. Kuusi, J.-C. Mourrat to solve elliptic equations in divergence form with stochastic stationary coeffic…