3 papers
math-ph2019
On the finite-size Lyapunov exponent for the Schroedinger operator with skew-shift potential
Paul Michael Kielstra, Marius Lemm
It is known that a one-dimensional quantum particle is localized when subjected to an arbitrarily weak random potential. It is conjectured that localization also occurs for an arbi…
math.AP2016
On the Hölder regularity for the fractional Schrödinger equation and its improvement for radial data
Marius Lemm
We consider the linear, time-independent fractional Schrödinger equation We are interested in the local Hölder exponents of distributional solutions , assum…
math.DG2015
Heat flows on hyperbolic spaces
Marius Lemm, Vladimir Markovic
In this paper we develop new methods for studying the convergence problem for the heat flow on negatively curved spaces and prove that any quasiconformal map of the sphere $\mathbb…