54 citations · 504 across the 52 of their papers we have counts for
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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…
Kinetic limits of dynamical systems
Jens Marklof
Since the pioneering work of Maxwell and Boltzmann in the 1860s and 1870s, a major challenge in mathematical physics has been the derivation of macroscopic evolution equations from…
Limit theorems for skew translations
Jory Griffin, Jens Marklof
Bufetov, Bufetov-Forni and Bufetov-Solomyak have recently proved limit theorems for translation flows, horocycle flows and tiling flows, respectively. We present here analogous res…
The low-density limit of the Lorentz gas: periodic, aperiodic and random
Jens Marklof
The Lorentz gas is one of the simplest, most widely used models to study the transport properties of rarified gases in matter. It describes the dynamics of a cloud of non-interacti…
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 $\…