23 citations · 25 across the 6 of their papers we have counts for
6 papers
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…
Equidistribution of divergent geodesics in negative curvature
Jouni Parkkonen, Frédéric Paulin, Rafael Sayous
In the unit tangent bundle of noncompact finite volume negatively curved Riemannian manifolds, we prove the equidistribution towards the measure of maximal entropy for the geodesic…
Humanity's Last Exam
Long Phan, Alice Gatti, Ziwen Han +1168
Benchmarks are important tools for tracking the rapid advancements in large language model (LLM) capabilities. However, benchmarks are not keeping pace in difficulty: LLMs now achi…
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…