108 citations · 552 across the 31 of their papers we have counts for
37 papers
A universal lower bound for certain quadratic integrals of automorphic L-functions
Laurent Clozel, Peter Sarnak
We obtain uniform lower bounds, true for all automorphic L-functions L(s) associated to cuspidal representations of GL(m,A) where A denotes the adeles of the rationals Q, of the in…
Convergence to the Plancherel measure of Hecke Eigenvalues
Peter Sarnak, Nina Zubrilina
We give improved uniform estimates for the rate of convergence to Plancherel measure of Hecke eigenvalues of holomorphic forms of weight 2 and level N. These are applied to determi…
Commutators in and Markoff surfaces I
Amit Ghosh, Chen Meiri, Peter Sarnak
We show that the commutator equation over satisfies a profinite local to global principle, while it can fail with infinitely many exceptions for $ \math…
Bounded cutoff window for the non-backtracking random walk on Ramanujan Graphs
Evita Nestoridi, Peter Sarnak
We prove that the non-backtracking random walk on Ramanujan graphs with large girth exhibits the fastest possible cutoff with a bounded window.
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…
Stable polynomials and crystalline measures
Pavel Kurasov, Peter Sarnak
Explicit examples of {\bf positive} crystalline measures and Fourier quasicrystals are constructed using pairs of stable of polynomials, answering several open questions in the are…