26 citations · 58 across the 5 of their papers we have counts for
4 papers · 1 filter
Stationary Eden model on groups
Tonći Antunović, Eviatar B. Procaccia
We consider two stationary versions of the Eden model, on the upper half planar lattice, resulting in an infinite forest covering the half plane. Under weak assumptions on the weig…
On the evolution in the configuration model
Tonći Antunović
We give precise estimates on the number of active/inactive half-edges in the configuration model used to generate random regular graphs. This is obtained by analyzing a more genera…
Competing first passage percolation on random regular graphs
Tonći Antunović, Yael Dekel, Elchanan Mossel +1
We consider two competing first passage percolation processes started from uniformly chosen subsets of a random regular graph on vertices. The processes are allowed to spread w…
Sharpness of the phase transition and exponential decay of the subcritical cluster size for percolation on quasi-transitive graphs
Tonći Antunović, Ivan Veselić
We study homogeneous, independent percolation on general quasi-transitive graphs. We prove that in the disorder regime where all clusters are finite almost surely, in fact the expe…