4 citations · 17 across the 9 of their papers we have counts for
10 papers
Joint effective equidistribution of partial lattices in positive characteristic
Tal Horesh, Frédéric Paulin
Let be a place of a global function field over a finite field, with associated affine function ring and completion , and let . Th…
Counting flags of primitive lattices
Tal Horesh, Yakov Karasik
We count flags of primitive lattices, which are objects of the form , where every is a primitive lattice in $\mathb…
-adic Directions of Primitive Vectors
Antonin Guilloux, Tal Horesh
Linnik type problems concern the distribution of projections of integral points on the unit sphere as their norm increases, and different generalizations of this phenomenon. Our wo…
Equidistribution and freeness on Grassmannians
Tim Browning, Tal Horesh, Florian Wilsch
We associate a certain tensor product lattice to any primitive integer lattice and ask about its typical shape. These lattices are related to the tangent bundle of Grassmannians an…
Equidistribution of primitive lattices in
Tal Horesh, Yakov Karasik
We count primitive lattices of rank inside as their covolume tends to infinity, with respect to certain parameters of such lattices. These parameters include,…
A practical guide to well roundedness
Tal Horesh, Yakov Karasik
Let be a semisimple algebraic group. We develop a machinery for manipulation and manufacture of well-rounded families as they…
Effective equidistribution of lattice points in positive characteristic
Tal Horesh, Frédéric Paulin
Given a place of a global function field over a finite field, with associated affine function ring and completion , the aim of this paper is to give an effective…
Equidistribution of primitive vectors, and the shortest solutions to their GCD equations
Tal Horesh, Yakov Karasik
We prove effective joint equidistribution of several natural parameters associated to primitive vectors in , as the norm of these vectors tends to infinity. These p…
Prime Points in Orbits: Some Instances of the Bourgain-Gamburd-Sarnak Conjecture
Tal Horesh, Amos Nevo
We use Vaughan's variation on Vinogradov's three-primes theorem to prove Zariski-density of prime points in several infinite families of hypersurfaces, including level sets of some…
Horospherical coordinates of lattice points in hyperbolic space: effective counting and equidistribution
Tal Horesh, Amos Nevo
We establish effective counting and equidistribution results for lattice points in families of domains in hyperbolic spaces, of any dimension and over any field. The domains we foc…