10 citations · 54 across the 36 of their papers we have counts for
6 papers · 1 filter
The defect of toral Laplace eigenfunctions and Arithmetic Random Waves
Par Kurlberg, Igor Wigman, Nadav Yesha
We study the defect (or "signed area") distribution of toral Laplace eigenfunctions restricted to shrinking balls of radius above the Planck scale, in either random Gaussian scenar…
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 =…
Non-gaussian waves in Seba's billiard
Pär Kurlberg, Henrik Ueberschaer
The Seba billiard, a rectangular torus with a point scatterer, is a popular model to study the transition between integrability and chaos in quantum systems. Whereas such billiards…
Level repulsion for arithmetic toral point scatterers in dimension
Pär Kurlberg
We show that arithmetic toral point scatterers in dimension three ("Seba billiards on ") exhibit strong level repulsion between the set of "new" eigenvalues. More precisel…
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…
Value distribution for eigenfunctions of desymmetrized quantum maps
Par Kurlberg, Zeev Rudnick
We study the value distribution and extreme values of eigenfunctions for the ``quantized cat map''. This is the quantization of a hyperbolic linear map of the torus. In a previous…