117 citations · 334 across the 24 of their papers we have counts for
28 papers
The regular tree Anderson model at low disorder
Reuben Drogin, Charles K Smart
We prove delocalization for the Anderson model on an infinite regular tree (or Cayley graph or Bethe lattice) at low disorder. This extends earlier results of Klein and Aizenman--W…
Random band matrix localization by scalar fluctuations
Nixia Chen, Charles K Smart
We show the eigenvectors of a Gaussian random band matrix are localized when the band width is less than the 1/4 power of the matrix size. Our argument is essentially an optimized…
Optimal unique continuation for periodic elliptic equations on large scales
Scott Armstrong, Tuomo Kuusi, Charles Smart
We prove a quantitative, large-scale doubling inequality and large-scale three-ellipsoid inequality for solutions of uniformly elliptic equations with periodic coefficients. These…
Large-scale analyticity and unique continuation for periodic elliptic equations
Scott Armstrong, Tuomo Kuusi, Charles Smart
We prove that a solution of an elliptic operator with periodic coefficients behaves on large scales like an analytic function, in the sense of approximation by polynomials with per…
Localization near the edge for the Anderson Bernoulli model on the two dimensional lattice
Jian Ding, Charles K Smart
We consider a Hamiltonian given by the Laplacian plus a Bernoulli potential on the two dimensional lattice. We prove that, for energies sufficiently close to the edge of the spectr…
The limit shape of convex hull peeling
Jeff Calder, Charles K Smart
We prove that the convex peeling of a random point set in dimension d approximates motion by the 1/(d + 1) power of Gaussian curvature. We use viscosity solution theory to interpre…