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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…