Elliptic Regularity and Quantitative Homogenization on Percolation Clusters

Scott Armstrong; Paul Dario

doi:10.1002/cpa.21726

Elliptic Regularity and Quantitative Homogenization on Percolation Clusters

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.21726 ◽

2017 ◽

Vol 71 (9) ◽

pp. 1717-1849 ◽

Cited By ~ 6

Author(s):

Scott Armstrong ◽

Paul Dario

Keyword(s):

Elliptic Regularity ◽

Percolation Clusters ◽

Quantitative Homogenization

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

The Annals of Probability ◽

10.1214/20-aop1456 ◽

2021 ◽

Vol 49 (2) ◽

Author(s):

Paul Dario ◽

Chenlin Gu

Keyword(s):

Green's Functions ◽

Green’S Functions ◽

Percolation Clusters ◽

Quantitative Homogenization

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Transport through bootstrap percolation clusters

Journal de Physique I ◽

10.1051/jp1:1991162 ◽

1991 ◽

Vol 1 (5) ◽

pp. 685-692 ◽

Cited By ~ 4

Author(s):

Muhammad Sahimi ◽

Tane S. Ray

Keyword(s):

Bootstrap Percolation ◽

Percolation Clusters

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Some remarks on $$W^{s,p}$$ interior elliptic regularity estimates

Journal of Elliptic and Parabolic Equations ◽

10.1007/s41808-021-00099-9 ◽

2021 ◽

Author(s):

A. Behzadan

Keyword(s):

Elliptic Regularity ◽

Regularity Estimates

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Anomalous Viscous Damping of Vibrations of Fractal Percolation Clusters

Physical Review Letters ◽

10.1103/physrevlett.73.1570 ◽

1994 ◽

Vol 73 (12) ◽

pp. 1570-1573 ◽

Cited By ~ 15

Author(s):

S. Russ ◽

B. Sapoval

Keyword(s):

Viscous Damping ◽

Fractal Percolation ◽

Percolation Clusters ◽

Damping Of Vibrations

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Percolation Clusters above Criticality Form Kardar-Parisi-Zhang Surfaces

Physical Review Letters ◽

10.1103/physrevlett.101.145701 ◽

2008 ◽

Vol 101 (14) ◽

Author(s):

Ehud Perlsman ◽

Shlomo Havlin

Keyword(s):

Percolation Clusters

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Shape and size of two-dimensional percolation clusters with and without correlations

Journal of Physics A General Physics ◽

10.1088/0305-4470/12/10/029 ◽

1979 ◽

Vol 12 (10) ◽

pp. 1843-1855 ◽

Cited By ~ 26

Author(s):

E Stoli ◽

C Domb

Keyword(s):

Two Dimensional ◽

Percolation Clusters ◽

Shape And Size

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Monte Carlo study of invasion percolation clusters in two and three dimensions

Journal of Physics A General Physics ◽

10.1088/0305-4470/17/3/007 ◽

1984 ◽

Vol 17 (3) ◽

pp. L129-L135 ◽

Cited By ~ 69

Author(s):

D Wilkinson ◽

M Barsony

Keyword(s):

Monte Carlo ◽

Monte Carlo Study ◽

Three Dimensions ◽

Invasion Percolation ◽

Percolation Clusters

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Exact-enumeration approach to random walks on percolation clusters in two dimensions

Physical Review B ◽

10.1103/physrevb.30.1626 ◽

1984 ◽

Vol 30 (3) ◽

pp. 1626-1628 ◽

Cited By ~ 99

Author(s):

Imtiaz Majid ◽

Daniel Ben- Avraham ◽

Shlomo Havlin ◽

H. Eugene Stanley

Keyword(s):

Random Walks ◽

Two Dimensions ◽

Exact Enumeration ◽

Percolation Clusters

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Backbone and elastic backbone of percolation clusters obtained by the new method of 'burning'

Journal of Physics A General Physics ◽

10.1088/0305-4470/17/5/008 ◽

1984 ◽

Vol 17 (5) ◽

pp. L261-L266 ◽

Cited By ~ 250

Author(s):

H J Herrmann ◽

D C Hong ◽

H E Stanley

Keyword(s):

New Method ◽

Percolation Clusters

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Quantitative homogenization of degenerate random environments

Annales de l Institut Henri Poincaré Probabilités et Statistiques ◽

10.1214/16-aihp793 ◽

2018 ◽

Vol 54 (1) ◽

pp. 22-50 ◽

Cited By ~ 1

Author(s):

Arianna Giunti ◽

Jean-Christophe Mourrat

Keyword(s):

Random Environments ◽

Quantitative Homogenization

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