19 citations · 25 across the 3 of their papers we have counts for
5 papers
Tightness for the Cover Time of the two dimensional sphere
David Belius, Jay Rosen, Ofer Zeitouni
Let denote the cover time of the two dimensional sphere by a Wiener sausage of radius . We prove that $$\sqrt{C^{*}_{ε,S^2} } -\sqrt{\frac{2A_{S^2}}π}(\log ε^{-1}-…
Barrier estimates for a critical Galton--Watson process and the cover time of the binary tree
David Belius, Jay Rosen, Ofer Zeitouni
For the critical Galton--Watson process with geometric offspring distributions we provide sharp barrier estimates for barriers which are (small) perturbations of linear barriers. T…
Gumbel fluctuations for cover times in the discrete torus
David Belius
This work proves that the fluctuations of the cover time of simple random walk in the discrete torus of dimension at least three with large side-length are governed by the Gumbel e…
Cover times in the discrete cylinder
David Belius
This article proves that, in terms of local times, the rescaled and recentered cover times of finite subsets of the discrete cylinder by simple random walk converge in law to the G…
Cover levels and random interlacements
David Belius
This note investigates cover levels of finite sets in the random interlacements model introduced in [Ann. of Math. (2) 171 (2010) 2039-2087], that is, the least level such that the…