54 citations · 504 across the 52 of their papers we have counts for
15 papers · 1 filter
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-…
Kinetic Theory for the Low-Density Lorentz Gas
Jens Marklof, Andreas Strömbergsson
The Lorentz gas is one of the simplest and most widely-studied models for particle transport in matter. It describes a cloud of non-interacting gas particles in an infinitely exten…
Entry and return times for semi-flows
Jens Marklof
Haydn, Lacroix and Vaienti [Ann. Probab. 33 (2005)] proved that, for a given ergodic map, the entry time distribution converges in the small target limit, if and only if the corres…
Spherical averages in the space of marked lattices
Jens Marklof, Ilya Vinogradov
A marked lattice is a -dimensional Euclidean lattice, where each lattice point is assigned a mark via a given random field on . We prove that, if the field is str…
Directions in hyperbolic lattices
Jens Marklof, Ilya Vinogradov
It is well known that the orbit of a lattice in hyperbolic -space is uniformly distributed when projected radially onto the unit sphere. In the present work, we consider the fin…