29 citations · 90 across the 8 of their papers we have counts for
10 papers
An effective equidistribution result for and application to inhomogeneous quadratic forms
Andreas Strömbergsson, Pankaj Vishe
Let SL and let be a congruence subgroup of SL. We prove a polynomially effective asymptotic equidistribution res…
The three gap theorem and the space of lattices
Jens Marklof, Andreas Strömbergsson
The three gap theorem (or Steinhaus conjecture) asserts that there are at most three distinct gap lengths in the fractional parts of the sequence , for any integer…
Universal hitting time statistics for integrable flows
Carl P. Dettmann, Jens Marklof, Andreas Strömbergsson
The perceived randomness in the time evolution of "chaotic" dynamical systems can be characterized by universal probabilistic limit laws, which do not depend on the fine features o…
Free path lengths in quasicrystals
Jens Marklof, Andreas Strömbergsson
Previous studies of kinetic transport in the Lorentz gas have been limited to cases where the scatterers are distributed at random (e.g. at the points of a spatial Poisson process)…
Gaps between logs
Jens Marklof, Andreas Strömbergsson
We calculate the limiting gap distribution for the fractional parts of log n, where n runs through all positive integers. By rescaling the sequence, the proof quickly reduces to an…
Diameters of random circulant graphs
Jens Marklof, Andreas Strömbergsson
The diameter of a graph measures the maximal distance between any pair of vertices. The diameters of many small-world networks, as well as a variety of other random graph models, g…