16 citations · 83 across the 21 of their papers we have counts for
Showing 2014Show all
3 papers · 1 filter
math.NT2014★ 12 cited
Integer points on spheres and their orthogonal grids
Menny Aka, Manfred Einsiedler, Uri Shapira
The set of primitive vectors on large spheres in the euclidean space of dimension d>2 equidistribute when projected on the unit sphere. We consider here a refinement of this proble…
math.NT2014
A volume estimate for the set of stable lattices
Uri Shapira, Barak Weiss
We show that in high dimensions the set of stable lattices is almost of full measure in the space of unimodular lattices.
math.DS2014
Closed orbits for the diagonal group and well-rounded lattices
Michael Levin, Uri Shapira, Barak Weiss
Curt McMullen showed that every compact orbit for the action of the diagonal group on the space of lattices contains a well-rounded lattice. We extend this to all closed orbits.