54 citations · 504 across the 52 of their papers we have counts for
66 papers
Loss of memory in the periodic Ehrenfest model with small polyhedral scatterers
Christopher Lutsko, Jens Marklof
We determine the Boltzmann--Grad limit of the Ehrenfest ``wind-tree'' model with a periodic configuration of polyhedral scatterers. The central result is a loss-of-memory effect in…
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-…
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…
Bounds for theta sums in higher rank II
Jens Marklof, Matthew Welsh
In the first paper of this series we established new upper bounds for multi-variable exponential sums associated with a quadratic form. The present study shows that if one adds a l…
Poissonian pair correlation for directions in multi-dimensional affine lattices, and escape of mass estimates for embedded horospheres
Wooyeon Kim, Jens Marklof
We prove the convergence of moments of the number of directions of affine lattice vectors that fall into a small disc, under natural Diophantine conditions on the shift. Furthermor…
Fine-scale distribution of roots of quadratic congruences
Jens Marklof, Matthew Welsh
We establish limit laws for the distribution in small intervals of the roots of the quadratic congruence , with square-free and $D\not\equiv 1 \bmod 4…