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math-ph2018
Weyl sums and the Lyapunov exponent for the skew-shift Schrödinger cocycle
Rui Han, Marius Lemm, Wilhelm Schlag
We study the one-dimensional discrete Schrödinger operator with the skew-shift potential . This potential is long conjectured…
math.AP2018
On the averaged Green's function of an elliptic equation with random coefficients
Jongchon Kim, Marius Lemm
We consider a divergence-form elliptic difference operator on the lattice , with a coefficient matrix that is an i.i.d. perturbation of the identity matrix. Recently,…