15 citations · 22 across the 4 of their papers we have counts for
6 papers
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…
On the generalized circle problem for a random lattice in large dimension
Andreas Strömbergsson, Anders Södergren
In this note we study the error term R_{n,L}(x) in the generalized circle problem for a ball of volume x and a random lattice L of large dimension n. Our main result is the followi…
Visibility and directions in quasicrystals
Jens Marklof, Andreas Strömbergsson
It is well known that a positive proportion of all points in a -dimensional lattice is visible from the origin, and that these visible lattice points have constant density in $\…
Power-law distributions for the free path length in Lorentz gases
Jens Marklof, Andreas Strömbergsson
It is well known that, in the Boltzmann-Grad limit, the distribution of the free path length in the Lorentz gas with disordered scatterer configuration has an exponential density.…
On the location of the zero-free half-plane of a random Epstein zeta function
Andreas Strömbergsson, Anders Södergren
In this note we study, for a random lattice L of large dimension n, the supremum of the real parts of the zeros of the Epstein zeta function E_n(L,s) and prove that this random var…
The periodic Lorentz gas in the Boltzmann-Grad limit: asymptotic estimates
Jens Marklof, Andreas Strömbergsson
The dynamics of a point particle in a periodic array of spherical scatterers converges, in the limit of small scatterer size, to a random flight process, whose paths are piecewise…