108 citations · 552 across the 31 of their papers we have counts for
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math.NT2013★ 3 cited
The Quantum Variance of the Modular Surface
Peter Sarnak, Peng Zhao, Appendix by Michael Woodbury
The variance of observables of quantum states of the Laplacian on the modular surface is calculated in the semiclassical limit. It is shown that this hermitian form is diagonalized…
math.NT2013★ 50 cited
The Möbius function and distal flows
Jianya Liu, Peter Sarnak
We prove that the Möbius function is linearly disjoint from an analytic skew product on the -torus. These flows are distal and can be irregular in the sense that their ergodic a…