2 papers
math.DS2017
On the free path length distribution for linear motion in an n-dimensional box
Samuel Holmin, Pär Kurlberg, Daniel Månsson
We consider the distribution of free path lengths, or the distance between consecutive bounces of random particles, in an n-dimensional rectangular box. If each particle travels a…
math.NT2015
Missing class groups and class number statistics for imaginary quadratic fields
Samuel Holmin, Nathan Jones, Pär Kurlberg +2
The number F(h) of imaginary quadratic fields with a given class number h is of classical interest: Gauss' class number problem asks for a determination of those fields counted by…