54 citations · 504 across the 52 of their papers we have counts for
4 papers · 1 filter
Perfect Retroreflectors and Billiard Dynamics
Pavel Bachurin, Konstantin Khanin, Jens Marklof +1
We construct semi-infinite billiard domains which reverse the direction of most incoming particles. We prove that almost all particles will leave the open billiard domain after a f…
Kinetic transport in crystals
Jens Marklof
One of the central challenges in kinetic theory is the derivation of macroscopic evolution equations--describing, for example, the dynamics of an electron gas--from the underlying…
Localised eigenfunctions in Seba billiards
J. P. Keating, J. Marklof, B. Winn
We describe some new families of quasimodes for the Laplacian perturbed by the addition of a potential formally described by a Dirac delta function. As an application we find, unde…
The asymptotic distribution of Frobenius numbers
Jens Marklof
The Frobenius number F(a) of an integer vector a with positive coprime coefficients is defined as the largest number that does not have a representation as a positive integer linea…