18 citations · 105 across the 29 of their papers we have counts for
4 papers · 1 filter
Strong Spectral Gaps for Compact Quotients of Products of $\PSL(2,\bbR)$
Dubi Kelmer, Peter Sarnak
The existence of a strong spectral gap for quotients $Γ\bs G$ of noncompact connected semisimple Lie groups is crucial in many applications. For congruence lattices there are unifo…
On matrix elements for the quantized cat map modulo prime powers
Dubi Kelmer
The quantum cat map is a model for a quantum system with underlying chaotic dynamics. In this paper we study the matrix elements of smooth observables in this model, when taking ar…
Scarring for Quantum Maps with Simple Spectrum
Dubi Kelmer
We previously introduced a family of symplectic maps of the torus whose quantization exhibits scarring on invariant co-isotropic submanifolds. The purpose of this note is to show t…
Distribution of twisted Kloosterman sums modulo prime powers
Dubi Kelmer
In this note we study Kloosterman sums twisted by a multiplicative characters modulo a prime power. We show, by an elementary calculation, that these sums become equidistributed on…