22 citations · 99 across the 25 of their papers we have counts for
5 papers · 2 filters
Inhomogeneous first-passage percolation
Daniel Ahlberg, Michael Damron, Vladas Sidoravicius
We study first-passage percolation where edges in the left and right half-planes are assigned values according to different distributions. We show that the asymptotic growth of the…
Partially observed Boolean sequences and noise sensitivity
Daniel Ahlberg
Let denote a collection of subsets of , and assign independent random variables uniformly distributed over to the elements. Declare an e…
A Hsu-Robbins-Erdős strong law in first-passage percolation
Daniel Ahlberg
Large deviations in the context of first-passage percolation was first studied in the early 1980s by Grimmett and Kesten, and has since been revisited in a variety of studies. Howe…
Seven-dimensional forest fires
Daniel Ahlberg, Hugo Duminil-Copin, Gady Kozma +1
We show that in high dimensional Bernoulli percolation, removing from a thin infinite cluster a much thinner infinite cluster leaves an infinite component. This observation has imp…
Bernoulli and self-destructive percolation on non-amenable graphs
Daniel Ahlberg, Vladas Sidoravicius, Johan Tykesson
In this note we study some properties of infinite percolation clusters on non-amenable graphs. In particular, we study the percolative properties of the complement of infinite perc…