scholarly journals The fractional p-Laplacian emerging from homogenization of the random conductance model with degenerate ergodic weights and unbounded-range jumps

2019 ◽  
Vol 59 (1) ◽  
Author(s):  
Franziska Flegel ◽  
Martin Heida
Keyword(s):  
Random Conductance Model ◽  
Random Conductance

scholarly journals Quenched local limit theorem for random walks among time-dependent ergodic degenerate weights

2021 ◽  
Vol 179 (3-4) ◽  
pp. 1145-1181 ◽  
Author(s):  
Sebastian Andres ◽  
Alberto Chiarini ◽  
Martin Slowik
Keyword(s):  
Central Limit Theorem ◽  
Limit Theorem ◽  
Central Limit ◽  
Local Limit Theorem ◽  
Time Dependent ◽  
Moment Condition ◽  
Difference Operators ◽  
Random Conductance Model ◽  
Local Central Limit Theorem ◽  
Random Conductance

AbstractWe establish a quenched local central limit theorem for the dynamic random conductance model on $${\mathbb {Z}}^d$$ Z d only assuming ergodicity with respect to space-time shifts and a moment condition. As a key analytic ingredient we show Hölder continuity estimates for solutions to the heat equation for discrete finite difference operators in divergence form with time-dependent degenerate weights. The proof is based on De Giorgi’s iteration technique. In addition, we also derive a quenched local central limit theorem for the static random conductance model on a class of random graphs with degenerate ergodic weights.

scholarly journals Trapping in the Random Conductance Model

2013 ◽  
Vol 150 (1) ◽  
pp. 66-87 ◽  
Author(s):  
M. Biskup ◽  
O. Louidor ◽  
A. Rozinov ◽  
A. Vandenberg-Rodes
Keyword(s):  
Random Conductance Model ◽  
Random Conductance

scholarly journals Invariance principle for the random conductance model

2012 ◽  
Vol 156 (3-4) ◽  
pp. 535-580 ◽  
Author(s):  
S. Andres ◽  
M. T. Barlow ◽  
J.-D. Deuschel ◽  
B. M. Hambly
Keyword(s):  
Invariance Principle ◽  
Random Conductance Model ◽  
Random Conductance
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