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math.PR2017
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}-…
math.PR2017★ 1 cited
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…