2 papers
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.NT2024
Square roots and lattices
Jens Marklof
We construct a point set in the Euclidean plane that elucidates the relationship between the fine-scale statistics of the fractional parts of and directional statistics f…