26 citations · 35 across the 18 of their papers we have counts for
6 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…
An abstract spectral approach to horospherical equidistribution
Christopher Lutsko
This paper introduces an abstract spectral approach to prove effective equidistribution of expanding horospheres in hyperbolic manifolds. The method, which is motivated by the appr…
Long-Range Correlations of Sequences Modulo 1
Christopher Lutsko
In this paper we consider the fractional parts of a general sequence, for example the sequence or . We give a general method, which allows one to show that long-r…
Gap Statistics of the Sequence
Christopher Lutsko
The gaps in the sequence were shown by Elkies-McMullen (2004) to have a limiting distribution which is not the exponential distribution. However it is conjectured th…
Farey Sequences for Thin Groups
Christopher Lutsko
The classical Farey sequence of height is the set of rational numbers in reduced form with denominator less than . In this paper we introduce the concept of a generalized Fa…
Directions in Orbits of Geometrically Finite Hyperbolic Subgroups
Christopher Lutsko
We prove a theorem describing the limiting fine-scale statistics of orbits of a point in hyperbolic space under the action of a discrete subgroup. Similar results have been proved…