22 citations · 99 across the 25 of their papers we have counts for
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math.PR2011★ 1 cited
Noise Sensitivity in Continuum Percolation
Daniel Ahlberg, Erik Broman, Simon Griffiths +1
We prove that the Poisson Boolean model, also known as the Gilbert disc model, is noise sensitive at criticality. This is the first such result for a Continuum Percolation model, a…
math.PR2011★ 8 cited
Convergence towards an asymptotic shape in first-passage percolation on cone-like subgraphs of the integer lattice
Daniel Ahlberg
In first-passage percolation on the integer lattice, the Shape Theorem provides precise conditions for convergence of the set of sites reachable within a given time from the origin…
math.PR2011★ 4 cited
Asymptotics of first-passage percolation on 1-dimensional graphs
Daniel Ahlberg
In this paper we consider first-passage percolation on certain 1-dimensional periodic graphs, such as the nearest neighbour graph for .…