Title: Asymptotic structure of almost eigenfunctions of drift Laplacians on conical ends,
Abstract: We use a weighted variant of the frequency functions introduced by Almgren to
prove sharp asymptotic estimates for almost eigenfunctions of the drift
Laplacian associated to the Gaussian weight on an asymptotically conical end.
As a consequence, we obtain a purely elliptic proof of a result of L. Wang on
the uniqueness of self-shrinkers of the mean curvature flow asymptotic to a
given cone. Another consequence is a unique continuation property for
self-expanders of the mean curvature flow that flow from a cone.