most citedA counterexample to symmetry of norms of eigenfunctions

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

collaborators

4 papers

math.SG2026

The ECH and alternative ECH capacities of closed symplectic 4-manifolds

Gabriel Beiner

We show that the ECH capacities of every closed symplectic 4-manifold are infinite. We also give the first examples of symplectic 4-manifolds whose alternative ECH capacities are i…

math.SG2026

Infinite ECH Capacities and Anosov Flows

Gabriel Beiner

This article relates the theory of embedded contact homology (ECH) with the dynamics of Anosov flows. We show that in many cases the ECH capacities of a symplectic 4-manifold are i…

math.CA2022

Failure of Symmetry of Zonal Spherical Harmonics

Gabriel Beiner, William Verreault

In this paper, we show that the 2-sphere does not exhibit symmetry of norms of eigenfunctions of the Laplacian for . In other words, there exists a sequence of spher…

math.SP2022★ 1 cited

A counterexample to symmetry of norms of eigenfunctions

Gabriel Beiner, Nancy Mae Eagles, William Verreault +1

We answer a question of Jakobson and Nadirashvili on the asymptotic behavior of the norms of positive and negative parts of eigenfunctions of the Laplacian. More precisely, w…