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math.AP2020★ 13 cited
Differences between Robin and Neumann eigenvalues
Zeev Rudnick, Igor Wigman, Nadav Yesha
Let be a bounded planar domain, with piecewise smooth boundary . For , we consider the Robin boundary value problem \[ -Δf =λf, \qquad \frac…
math.AP2013
Quantum ergodicity for a point scatterer on the three-dimensional torus
Nadav Yesha
Consider a point scatterer (the Laplacian perturbed by a delta-potential) on the standard three-dimensional flat torus. Together with the eigenfunctions of the Laplacian which vani…
math.AP2012★ 14 cited
Eigenfunction statistics for a point scatterer on a three-dimensional torus
Nadav Yesha
In this paper we study eigenfunction statistics for a point scatterer (the Laplacian perturbed by a delta-potential) on a three-dimensional flat torus. The eigenfunctions of this o…