Duncan Dauvergne

activity

20172026

most citedThe directed landscape

110 citations · 301 across the 19 of their papers we have counts for

collaborators

Showing 2019Show all

2 papers · 1 filter

math.PR2019★ 32 cited

Uniform convergence to the Airy line ensemble

Duncan Dauvergne, Mihai Nica, Bálint Virág

We show that classical integrable models of last passage percolation and the related nonintersecting random walks converge uniformly on compact sets to the Airy line ensemble. Our…

math.PR2019★ 6 cited

A necessary and sufficient condition for convergence of the zeros of random polynomials

Duncan Dauvergne

Consider random polynomials of the form $G_{n} = \sum_{i = 0}^{n} ξ_{i} p_{i}$ , where the $ξ_{i}$ are i.i.d.\ non-degenerate complex random variables, and ${p_{i}}$ is a sequence of orthonorma…