23 citations · 25 across the 6 of their papers we have counts for
4 papers · 1 filter
Equidistribution of divergent diagonal orbits in positive characteristic
Nguyen-Thi Dang, Frédéric Paulin, Rafael Sayous
Given a local field with positive characteristic, we study the dynamics of the diagonal subgroup of the linear group on homogeneous s…
Gaps in the complex Farey sequence of an imaginary quadratic number field
Rafael Sayous
Given an imaginary quadratic number field with ring of integers , we are interested in the asymptotic \emph{distance to nearest neighbour} (or \emph{gap}) statis…
Effective pair correlations of fractional powers of complex grid points
Rafael Sayous
Using a standard definition of fractional powers on the universal cover seen as an infinite helicoid embedded in , we study the statistics of…
Effective pair correlations of fractional powers of integers
Rafael Sayous
We study the statistics of pairs from the sequence , for every parameter . We prove the convergence of the empirical pair correlation measu…