108 citations · 814 across the 70 of their papers we have counts for
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math.NT2007
On the statistics of the minimal solution of a linear Diophantine equation and uniform distribution of the real part of orbits in hyperbolic spaces
Morten S. Risager, Zeev Rudnick
We study a variant of a problem considered by Dinaburg and Sinai on the statistics of the minimal solution to a linear Diophantine equation. We show that the signed ratio between t…
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…