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math.DS2026
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…
math.DS2025
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-…
math.DS2024
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…