3 papers
math.DS2023
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…
math.NT2022
Vaaler's theorem in number fields
Matthew Palmer
In Diophantine approximation, Vaaler's theorem was an important partial result towards the Duffin--Schaeffer conjecture, which was open for almost eighty years before it was recent…
math.NT2016
The Duffin-Schaeffer theorem in number fields
Matthew Palmer
The Duffin-Schaeffer theorem is a well-known result from metric number theory, which generalises Khinchin's theorem from monotonic functions to a wider class of approximating funct…