17 citations · 31 across the 11 of their papers we have counts for
12 papers
Effective equidistribution of unipotent orbits in homogeneous spaces of $\SL(2,\R)\ltimes(\R^2)^{k}$
Andreas Strömbergsson, Anders Södergren, Pankaj Vishe
Let $G=\SL(2,\R)\ltimes(\R^2)^{k}$, let be a congruence subgroup of $\SL(2,\Z)\ltimes(\Z^2)^{k}$, and let be the one-parameter subgroup of given by…
A zero-one law for improvements to Dirichlet's theorem in arbitrary dimension
Andreas Strömbergsson, Shucheng Yu
Let be a continuous decreasing function defined for all sufficiently large positive real numbers. We say that a real matrix is -Dirichlet if for every suffic…
Extreme events and impact statistics for unipotent actions on the space of lattices
Jens Marklof, Andreas Strömbergsson, Shucheng Yu
This paper extends a recent extreme value law for horocycle flows on the space of two-dimensional lattices, due to Kirsebom and Mallahi-Karai, to the simplest examples of rank-…
Adelic Rogers' formula and an application
Mahbub Alam, Andreas Strömbergsson
Recently, Seungki Kim proved an extension of Rogers' mean value formula to the adeles of an arbitrary number field. In this paper we give a new proof Kim's formula, and give a crit…
The Boltzmann-Grad Limit of the Lorentz Gas in a Union of Lattices
Matthew Palmer, Andreas Strömbergsson
The Lorentz gas describes an ensemble of noninteracting point particles in an infinite array of spherical scatterers. In the present paper we consider the case when the scatterer c…
Effective equidistribution of primitive rational points on expanding horospheres
Daniel El-Baz, Min Lee, Andreas Strömbergsson
We prove an effective version of a result due to Einsiedler, Mozes, Shah and Shapira on the asymptotic distribution of primitive rational points on expanding closed horospheres in…
On a mean value formula for multiple sums over a lattice and its dual
Andreas Strömbergsson, Anders Södergren
We prove a generalized version of Rogers' mean value formula in the space of unimodular lattices in , which gives the mean value of a multiple sum over a lattice and…
A measure estimate in geometry of numbers and improvements to Dirichlet's theorem
Dmitry Kleinbock, Andreas Strömbergsson, Shucheng Yu
Let be a continuous decreasing function defined on all large positive real numbers. We say that a real matrix is -Dirichlet if for every sufficiently large r…
Generalized linear Boltzmann equations for particle transport in polycrystals
Jens Marklof, Andreas Strömbergsson
The linear Boltzmann equation describes the macroscopic transport of a gas of non-interacting point particles in low-density matter. It has wide-ranging applications, including neu…
An Effective Ratner Equidistribution Result for ASL(2,R)
Andreas Strömbergsson
Let G=ASL(2,R) be the affine special linear group of the plane, and set Gamma=ASL(2,Z). We prove a polynomially effective asymptotic equidistribution result for the orbits of a 1-d…
On the limit distribution of Frobenius numbers
Andreas Strömbergsson
The Frobenius number g(a) of an integer vector a with positive coprime coefficients is defined as the largest integer that does not have a representation as a non-negative integer…
On the probability of a random lattice avoiding a large convex set
Andreas Strömbergsson
Given a set C in R^d, let p(C) be the probability that a random d-dimensional unimodular lattice, chosen according to Haar measure on SL(d,Z)\SL(d,R), is disjoint from C\{0}. For s…