31 citations · 142 across the 24 of their papers we have counts for
Showing 2015 · math.PRShow all
2 papers · 2 filters
math.PR2015★ 3 cited
Noise sensitivity in bootstrap percolation
Zsolt Bartha, Gábor Pete
Answering questions of Itai Benjamini, we show that the event of complete occupation in 2-neighbour bootstrap percolation on the d-dimensional box [n]^d, for d\geq 2, at its critic…
math.PR2015
The tail of the crossing probability in near-critical percolation --- an appendix to Ahlberg & Steif [arXiv:1405.7144]
Gábor Pete
We answer a question of Ahlberg and Steif (2014) by finding the tail behaviour of the crossing probability in near-critical planar percolation. Interestingly, this superexponential…