2 citations · 4 across the 10 of their papers we have counts for
4 papers · 1 filter
Approximation of Green functions and domains with uniformly rectifiable boundaries of all dimensions
Guy David, Svitlana Mayboroda
The present paper establishes equivalence between uniform rectifiability of the boundary of a domain and the property that the Green function for elliptic operators is well approxi…
Sharp estimates for the integrated density of states in Anderson tight-binding models
Perceval Desforges, Svitlana Mayboroda, Shiwen Zhang +4
Recent work [G. David, M. Filoche, and S. Mayboroda, arXiv:1909.10558[Adv. Math. (to be published)]] has proved the existence of bounds from above and below for the Integrated Dens…
Good elliptic operators on Cantor sets
Guy David, Svitlana Mayboroda
It is well known that a purely unrectifiable set cannot support a harmonic measure which is absolutely continuous with respect to the Hausdorff measure of this set. We show that no…
Harmonic measure is absolutely continuous with respect to the Hausdorff measure on all low-dimensional uniformly rectifiable sets
G. David, S. Mayboroda
It was recently shown that the harmonic measure is absolutely continuous with respect to the Hausdorff measure on a domain with an dimensional uniformly rectifiable boundary,…