69 citations · 495 across the 46 of their papers we have counts for
7 papers · 1 filter
Eigenvalue clusters for the hemisphere Laplacian with variable Robin condition
Alexander Pushnitski, Igor Wigman
We study the eigenvalue clusters of the Robin Laplacian on the 2-dimensional hemisphere with a variable Robin coefficient on the equator. The 'th cluster has eigenva…
Almost sure GOE fluctuations of energy levels for hyperbolic surfaces of high genus
Zeév Rudnick, Igor Wigman
We study the variance of a linear statistic of the Laplace eigenvalues on a hyperbolic surface, when the surface varies over the moduli space of all surfaces of fixed genus, sample…
On the Central Limit Theorem for linear eigenvalue statistics on random surfaces of large genus
Zeév Rudnick, Igor Wigman
We study the fluctuations of smooth linear statistics of Laplace eigenvalues of compact hyperbolic surfaces lying in short energy windows, when averaged over the moduli space of su…
On the Robin spectrum for the equilateral triangle
Zeév Rudnick, Igor Wigman
The equilateral triangle is one of the few planar domains where the Dirichlet and Neumann eigenvalue problems were explicitly determined, by Lamé in 1833, despite not admitting sep…
The Robin problem on rectangles
Zeév Rudnick, Igor Wigman
We study the statistics and the arithmetic properties of the Robin spectrum of a rectangle. A number of results are obtained for the multiplicities in the spectrum, depending on th…
On the Robin spectrum for the hemisphere
Zeév Rudnick, Igor Wigman
We study the spectrum of the Laplacian on the hemisphere with Robin boundary conditions. It is found that the eigenvalues fall into small clusters around the Neumann spectrum, and…