29 citations · 192 across the 45 of their papers we have counts for
5 papers · 1 filter
The Steklov spectrum of cuboids
Alexandre Girouard, Jean Lagacé, Iosif Polterovich +1
The paper is concerned with the Steklov eigenvalue problem on cuboids of arbitrary dimension. We prove a two-term asymptotic formula for the counting function of Steklov eigenvalue…
Persistence barcodes and Laplace eigenfunctions on surfaces
Iosif Polterovich, Leonid Polterovich, Vukašin Stojisavljević
We obtain restrictions on the persistence barcodes of Laplace-Beltrami eigenfunctions and their linear combinations on compact surfaces with Riemannian metrics. Some applications t…
Sloshing, Steklov and corners: Asymptotics of sloshing eigenvalues
Michael Levitin, Leonid Parnovski, Iosif Polterovich +1
In the present paper we develop an approach to obtain sharp spectral asymptotics for Steklov type problems on planar domains with corners. Our main focus is on the two-dimensional…
Steklov Spectral Geometry for Extrinsic Shape Analysis
Yu Wang, Mirela Ben-Chen, Iosif Polterovich +1
We propose using the Dirichlet-to-Neumann operator as an extrinsic alternative to the Laplacian for spectral geometry processing and shape analysis. Intrinsic approaches, usually b…
An isoperimetric inequality for Laplace eigenvalues on the sphere
Mikhail Karpukhin, Nikolai Nadirashvili, Alexei V. Penskoi +1
We show that for any positive integer k, the k-th nonzero eigenvalue of the Laplace-Beltrami operator on the two-dimensional sphere endowed with a Riemannian metric of unit area, i…