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math.SP2023
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…
math.SP2023★ 1 cited
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…
math.SP2023
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…