69 citations · 495 across the 46 of their papers we have counts for
11 papers · 1 filter
On the supremum of random cusp forms
Bingrong Huang, Stephen Lester, Igor Wigman +1
A random ensemble of cusp forms for the full modular group is introduced. For a weight- cusp form, restricted to a compact subdomain of the modular surface, the true order of ma…
Around the Gauss circle problem: Hardy's conjecture and the distribution of lattice points near circles
Stephen Lester, Igor Wigman
Hardy conjectured that the error term arising from approximating the number of lattice points lying in a radius- disc by its area is . One source of support for…
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…
CLT for Planck scale mass distribution of toral Laplace eigenfunctions
Igor Wigman, Nadav Yesha
We study the fine scale -mass distribution of toral Laplace eigenfunctions with respect to random position, in 2 and 3 dimensions. In 2d, under certain flatness assumptions on…
Planck-scale mass equidistribution of toral Laplace eigenfunctions
Andrew Granville, Igor Wigman
We study the small scale distribution of the -mass of eigenfunctions of the Laplacian on the the two-dimensional flat torus. Given an orthonormal basis of eigenfunctions, Lest…
On probability measures arising from lattice points on circles
Par Kurlberg, Igor Wigman
A circle, centered at the origin and with radius chosen so that it has non-empty intersection with the integer lattice , gives rise to a probability measure on the…