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math.AP2020
Weighted heat kernel estimates: rate of convergence in Kolmogorov distance
Anderson Melchor Hernandez
This paper is concerned about random walks on random environments in the lattice . This model is analyzed through ergodicity in the form of the logarithmic Sobolev in…
math.AP2020
Weighted Meyers estimates in perforated domains
Anderson M. Hernandez
The present work aims to provide Meyers estimates throughout a finer inner regularity theory in perforated domains. We also provide a hypercontractivity property on correctors when…
math.PR2020
Coarsen entropy inequalities and its applications in quantitative stochastic homogenization
Anderson M. Hernandez
In this work, we study the validity of Entropy inequalities under decorrelation assumptions at large-scales, and also we study the problem of Weighted Meyers estimate in perforated…