10 citations · 54 across the 36 of their papers we have counts for
38 papers
Area correlations related to lattice points in discs
Matteo Bordignon, Pär Kurlberg
Motivated by the Lester-Wigman vanishing area correlation conjecture for lattice points near the boundary of circles of growing radius, we investigate the dynamics of circle flows…
On quantum ergodicity for higher dimensional cat maps
Pär Kurlberg, Alina Ostafe, Zeev Rudnick +1
We study eigenfunction localization for higher dimensional cat maps, a popular model of quantum chaos. These maps are given by linear symplectic maps in ${\mathrm{Sp}}(2g,\mathbb Z…
Poisson spacing statistics for lattice points on circles
Pär Kurlberg, Stephen Lester
We show that along a density one subsequence of admissible radii, the nearest neighbor spacing between lattice points on circles is Poissonian.
Formal uniqueness in Ewald sphere corrected single particle analysis
Pär Kurlberg, Gustav Zickert
In single particle analysis (SPA), the task is to recover the scattering potential of a macromolecular structure from cryo-electron microscope images of many copies of the structur…
On the distribution of lattice points on hyperbolic circles
Dimitrios Chatzakos, Par Kurlberg, Stephen Lester +1
We study the fine distribution of lattice points lying on expanding circles in the hyperbolic plane . The angles of lattice points arising from the orbit of the modular…
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…