60 citations · 117 across the 13 of their papers we have counts for
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math-ph2007★ 60 cited
On the volume of nodal sets for eigenfunctions of the Laplacian on the torus
Zeev Rudnick, Igor Wigman
We study the volume of nodal sets for eigenfunctions of the Laplacian on the standard torus in two or more dimensions. We consider a sequence of eigenvalues $4π^2\eigenvalue$ with…
math.NT2007
Matrix elements for the quantum cat map: Fluctuations in short windows
P. Kurlberg, L. Rosenzweig, Z. Rudnick
We study fluctuations of the matrix coefficients for the quantized cat map. We consider the sum of matrix coefficients corresponding to eigenstates whose eigenphases lie in a rando…