37 citations · 77 across the 10 of their papers we have counts for
4 papers · 1 filter
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 =…
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…
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…
Quantum Unique Ergodicity for maps on the torus
Lior Rosenzweig
When a map is classically uniquely ergodic, it is expected that its quantization will posses quantum unique ergodicity. In this paper we give examples of Quantum Unique Ergodicity…