activity
20172022
most citedLocalization of the first eigenfunction of a convex domain

1 citations · 1 across the 3 of their papers we have counts for

collaborators
Showing 2017Show all

2 papers · 1 filter

math.AP2017

Uniform level set estimates for ground state eigenfunctions

Thomas Beck

We study the behaviour of the first eigenfunction of the Dirichlet Laplacian on a planar convex domain near its maximum. We show that the eccentricity and orientation of the superl…

math-ph2017

Level Spacings and Nodal Sets at Infinity for Radial Perturbations of the Harmonic Oscillator

Thomas Beck, Boris Hanin

We study properties of the nodal sets of high frequency eigenfunctions and quasimodes for radial perturbations of the Harmonic Oscillator. In particular, we consider nodal sets on…