108 citations · 552 across the 31 of their papers we have counts for
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math-ph2020
Gap Sets for the Spectra of Cubic Graphs
Alicia J. Kollár, Peter Sarnak
We study gaps in the spectra of the adjacency matrices of large finite cubic graphs. It is known that the gap intervals and achieved in cubic Ramanujan g…
math-ph2014★ 11 cited
On the topology of the zero sets of monochromatic random waves
Yaiza Canzani, Peter Sarnak
This note concerns the topology of the connected components of the zero sets of monochromatic random waves on compact Riemannian manifolds without boundary. In [SW] it is shown tha…
math-ph2013
Topologies of nodal sets of random band limited functions
Peter Sarnak, Igor Wigman
It is shown that the topologies and nestings of the zero and nodal sets of random (Gaussian) band limited functions have universal laws of distribution. Qualitative features of the…