2 citations · 4 across the 4 of their papers we have counts for
4 papers
Convex curves and a Poisson imitation of lattices
Nick Gravin, Fedor Petrov, Sinai Robins +1
We solve a randomized version of the following open question: is there a strictly convex, bounded curve γin the plane such that the number of rational points on γ, with denominator…
Structure results for multiple tilings in 3D
Nick Gravin, Mihail Kolountzakis, Sinai Robins +1
We study multiple tilings of 3-dimensional Euclidean space by a convex body. In a multiple tiling, a convex body is translated with a discrete multiset in such a way that e…
Translational tilings by a polytope, with multiplicity
Nick Gravin, Sinai Robins, Dmitry Shiryaev
We study the problem of covering R^d by overlapping translates of a convex body P, such that almost every point of R^d is covered exactly k times. Such a covering of Euclidean spac…
Dynamics of Profit-Sharing Games
John Augustine, Ning Chen, Edith Elkind +3
An important task in the analysis of multiagent systems is to understand how groups of selfish players can form coalitions, i.e., work together in teams. In this paper, we study th…