Brett Kolesnik

activity

20132025

most citedStability of geodesics in the Brownian map

20 citations · 75 across the 14 of their papers we have counts for

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Showing 2017 · math.PRShow all

2 papers · 2 filters

math.PR2017★ 8 cited

Sharp threshold for $K_{4}$ -percolation

Brett Kolesnik

We locate the critical threshold $p_{c}$ at which it becomes likely that the complete graph $K_{n}$ can be obtained from the Erdős-Rényi graph $G_{n, p}$ by iteratively completin…

math.PR2017★ 8 cited

Large deviations for subcritical bootstrap percolation on the random graph

Omer Angel, Brett Kolesnik

We study atypical behavior in bootstrap percolation on the Erdős-Rényi random graph. Initially a set $S$ is infected. Other vertices are infected once at least $r$ of their neighbo…

Sharp threshold for K4​-percolation

Large deviations for subcritical bootstrap percolation on the random graph

Sharp threshold for $K_{4}$ -percolation