108 citations · 814 across the 70 of their papers we have counts for
4 papers · 1 filter
Eigenvalue spacings for regular graphs
D. Jakobson, S. D. Miller, I. Rivin +1
We carry out a numerical study of fluctuations in the spectrum of regular graphs. Our experiments indicate that the level spacing distribution of a generic k-regular graph approach…
A lower bound for periods of matrices
Pietro Corvaja, Zeev Rudnick, Umberto Zannier
For a nonsingular integer matrix A, we study the growth of the order of A modulo N. We say that a matrix is exceptional if it is diagonalizable, and a power of the matrix has all e…
On the distribution of lattice points in thin annuli
C. P. Hughes, Z. Rudnick
We show that the number of lattice points lying in a thin annulus has a Gaussian value distribution if the width of the annulus tends to zero sufficiently slowly as we increase the…
On the distribution of matrix elements for the quantum cat map
P. Kurlberg, Z. Rudnick
For many classically chaotic systems it is believed that the quantum wave functions become uniformly distributed, that is the matrix elements of smooth observables tend to the phas…