141 citations · 790 across the 75 of their papers we have counts for
8 papers · 1 filter
Wigner-Weyl description of light absorption in disordered semiconductor alloys using the localization landscape theory
Jean-Philippe Banon, Pierre Pelletier, Claude Weisbuch +2
The presence of disorder in semiconductors can dramatically change their physical properties. Yet, models faithfully accounting for it are still scarce and computationally ineffici…
Spectral functions and localization landscape theory in speckle potentials
Pierre Pelletier, Dominique Delande, Vincent Josse +4
Spectral function is a key tool for understanding the behavior of Bose-Einstein condensates of cold atoms in random potentials generated by a laser speckle. In this paper we introd…
Carleson estimates for the Green function on domains with lower dimensional boundaries
Guy David, Linhan Li, Svitlana Mayboroda
In the present paper, we consider an elliptic divergence form operator in with and prove that its Green function is almost affine, in th…
On a Novel Effective Equation of the Reduced Hartree-Fock Theory
Ilias Chenn, Svitlana Mayboroda, Wei Wang +1
We show that there is an one-to-one correspondence between solutions to the Poisson-Landscape equations and the reduced Hartree-Fock equations in the semi-classical limit at low te…
Carleson measure estimates for the Green function
Guy David, Linhan Li, Svitlana Mayboroda
In the present paper, we consider an elliptic divergence form operator in the half-space and prove that its Green function is almost affine, or more precisely, that the normalized…
Green function estimates on complements of low-dimensional uniformly rectifiable sets
Guy David, Joseph Feneuil, Svitlana Mayboroda
It has been recently established by the first and third author that on uniformly rectifiable sets the Green function is almost affine in the weak sense, and moreover, in some scena…