5 citations · 5 across the 7 of their papers we have counts for
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math.NT1999
On quantum ergodicity for linear maps of the torus
P. Kurlberg, Z. Rudnick
We prove a strong version of quantum ergodicity for linear hyperbolic maps of the torus (``cat maps''). We show that there is a density one sequence of integers so that as N tends…
chao-dyn1999
Hecke theory and equidistribution for the quantization of linear maps of the torus
P. Kurlberg, Z. Rudnick
We study semi-classical limits of eigenfunctions of a quantized linear hyperbolic automorphism of the torus ("cat map"). For some values of Planck's constant, the spectrum of the q…