1 citations · 2 across the 5 of their papers we have counts for
7 papers
Non-colliding billiards in the plane
Itai Benjamini, Alexander Shamov, Barak Weiss
We present an open problem about non-colliding freely moving hard disks in the Euclidean plane, together with related positive and negative partial results. The open problem is sta…
On the error bounds for visible points in some cut-and-project sets
Ilya Gringlaz, Rishi Kumar, Barak Weiss
We study points in cut-and-project sets which are visible from the origin, continuing a direction of inquiry initiated in [6,14] where the asymptotic density of visible points was…
Measure rigidity and equidistribution for fractal carpets
Osama Khalil, Manuel Luethi, Barak Weiss
Let be a Bernoulli measure which is stationary for a random walk generated by finitely many contracting rational affine dilations of , and let $\mathcal{K} = \mat…
The Dirichlet spectrum
Alon Agin, Barak Weiss
Akhunzhanov and Shatskov defined the Dirichlet spectrum, corresponding to matrices and to norms on and . In case and using…
Singularity, weighted uniform approximation, intersections and rates
Dmitry Kleinbock, Nikolay Moshchevitin, Jacqueline Warren +1
A classical argument was introduced by Khintchine in 1926 in order to exhibit the existence of totally irrational singular linear forms in two variables. This argument was subseque…
Bounds on the density of smooth lattice coverings
Or Ordentlich, Oded Regev, Barak Weiss
Let be a convex body in , let be a lattice with covolume one, and let . We say that and form an -smooth cover if each point $x \in \mathbb{R}^…
On stable lattices and the diagonal group
Uri Shapira, Barak Weiss
Inspired by work of McMullen, we show that any orbit for the action of the diagonal group on the space of lattices, accumulates on a stable lattice. We use this to settle a conject…