147 citations · 734 across the 66 of their papers we have counts for
75 papers
Non-perturbative localization on the strip and Avila's almost reducibility conjecture
Rui Han, Wilhelm Schlag
We prove non-perturbative Anderson localization and almost localization for a family of quasi-periodic operators on the strip. As an application we establish Avila's almost reducib…
Continuous in time bubble decomposition for the harmonic map heat flow
Jacek Jendrej, Andrew Lawrie, Wilhelm Schlag
We consider the harmonic map heat flow for maps from the plane to the two-sphere. It is known that solutions to the initial value problem exhibit bubbling along a well-chosen seque…
On codimension one stability of the soliton for the 1D focusing cubic Klein-Gordon equation
Jonas Luhrmann, Wilhelm Schlag
We consider the codimension one asymptotic stability problem for the soliton of the focusing cubic Klein-Gordon equation on the line under even perturbations. The main obstruction…
Avila's acceleration via zeros of determinants, and applications to Schrödinger cocycles
Rui Han, Wilhelm Schlag
In this paper we give a characterization of Avila's quantized acceleration of the Lyapunov exponent via the number of zeros of the Dirichlet determinants in finite volume. As appli…
Asymptotic stability of the sine-Gordon kink under odd perturbations
Jonas Luhrmann, Wilhelm Schlag
We establish the asymptotic stability of the sine-Gordon kink under odd perturbations that are sufficiently small in a weighted Sobolev norm. Our approach is perturbative and does…
An introduction to multiscale techniques in the theory of Anderson localization. Part I
Wilhelm Schlag
These lectures present some basic ideas and techniques in the spectral analysis of lattice Schrodinger operators with disordered potentials. In contrast to the classical Anderson t…