Thomas Beck

activity

20172026

most citedLocalization of the first eigenfunction of a convex domain

1 citations · 1 across the 4 of their papers we have counts for

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math.AP2019★ 1 cited

Localization of the first eigenfunction of a convex domain

Thomas Beck

We study the first Dirichlet eigenfunction of the Laplacian in a $n$ -dimensional convex domain. For domains of a fixed inner radius, estimates of Chiti imply that the ratio of the…

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…