37 citations · 77 across the 10 of their papers we have counts for
13 papers
Superscars for Arithmetic Point Scatterers II
Pär Kurlberg, Stephen Lester, Lior Rosenzweig
We consider momentum push-forwards of measures arising as quantum limits (semi-classical measures) of eigenfunctions of a point scatterer on the standard flat torus $\mathbb T^2 =…
The Chebotarev density theorem for function fields -- incomplete intervals
Pär Kurlberg, Lior Rosenzweig
We prove a Polya-Vinogradov type variation of the the Chebotarev density theorem for function fields over finite fields valid for "incomplete intervals" , p…
Prime and Möbius correlations for very short intervals in
Pär Kurlberg, Lior Rosenzweig
We investigate function field analogs of the distribution of primes, and prime -tuples, in "very short intervals" of the form for $…
Poisson distribution for gaps between sums of two squares and level spacings for toral point scatterers
Tristan Freiberg, Pär Kurlberg, Lior Rosenzweig
We investigate the level spacing distribution for the quantum spectrum of the square billiard. Extending work of Connors--Keating, and Smilansky, we formulate an analog of the Hard…
Diophantine approximation on matrices and Lie groups
Menny Aka, Emmanuel Breuillard, Lior Rosenzweig +1
We study the general problem of extremality for metric Diophantine approximation on submanifolds of matrices. We formulate a criterion for extremality in terms of a certain family…
Scarred eigenstates for arithmetic toral point scatterers
Pär Kurlberg, Lior Rosenzweig
We investigate eigenfunctions of the Laplacian perturbed by a delta potential on the standard tori in dimensions . Despite quantum ergodicity…