2 citations · 2 across the 3 of their papers we have counts for
4 papers
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…
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…
The number of points from a random lattice that lie inside a ball
Samuel Holmin
We prove a sharp bound for the remainder term of the number of lattice points inside a ball, when averaging over a compact set of (not necessarily unimodular) lattices, in dimensio…
Counting nonsingular matrices with primitive row vectors
Samuel Holmin
We give an asymptotic expression for the number of nonsingular integer n-by-n-matrices with primitive row vectors, determinant k, and Euclidean matrix norm less than T, for large T…