4 citations · 5 across the 6 of their papers we have counts for
11 papers
Effective equidistribution of primitive rational points on expanding horospheres
Daniel El-Baz, Min Lee, Andreas Strömbergsson
We prove an effective version of a result due to Einsiedler, Mozes, Shah and Shapira on the asymptotic distribution of primitive rational points on expanding closed horospheres in…
Difference sets and the metric theory of small gaps
Christoph Aistleitner, Daniel El-Baz, Marc Munsch
Let be a sequence of distinct positive integers. In a recent paper Rudnick established asymptotic upper bounds for the minimal gaps of $\{a_n α\bmod 1, 1 \leq n…
A pair correlation problem, and counting lattice points with the zeta function
Christoph Aistleitner, Daniel El-Baz, Marc Munsch
The pair correlation is a localized statistic for sequences in the unit interval. Pseudo-random behavior with respect to this statistic is called Poissonian behavior. The metric th…
Diameters of random Cayley graphs of finite nilpotent groups
Daniel El-Baz, Carlo Pagano
We prove the existence of a limiting distribution for the appropriately rescaled diameters of random undirected Cayley graphs of finite nilpotent groups of bounded rank and nilpote…
Multivariate normal distribution for integral points on varieties
Daniel El-Baz, Daniel Loughran, Efthymios Sofos
Given a variety over , we study the distribution of the number of primes dividing the coordinates as we vary an integral point. Under suitable assumptions, we show that…
Effective joint equidistribution of primitive rational points on expanding horospheres
Daniel El-Baz, Bingrong Huang, Min Lee
We prove an effective version of a result due to Einsiedler, Mozes, Shah and Shapira who established the equidistribution of primitive rational points on expanding horospheres in t…