Thomas Beck

collaborators

4 papers

math.CA2019

Improved Bounds for Hermite-Hadamard Inequalities in Higher Dimensions

Thomas Beck, Barbara Brandolini, Krzysztof Burdzy +5

Let $Ω \subset R^{n}$ be a convex domain and let $f : Ω \to R$ be a positive, subharmonic function (i.e. $Δ f \geq 0$ ). Then $$ \frac{1}{|Ω|} \int_Ω{f dx} \leq \…

math.AP2019

Nodal line estimates for the second Dirichlet eigenfunction

Thomas Beck, Yaiza Canzani, Jeremy L. Marzuola

We study the nodal curves of low energy Dirichlet eigenfunctions in generalized curvilinear quadrilaterals. The techniques can be seen as a generalization of the tools developed by…

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…