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math.PR2007
The size of a pond in 2D invasion percolation
Jacob van den Berg, Antal A. Járai, Bálint Vágvölgyi
We consider invasion percolation on the square lattice. It has been proved by van den Berg, Peres, Sidoravicius and Vares, that the probability that the radius of a so-called pond…
math.PR2007
Ladder Sandpiles
Antal A. Járai, Russell Lyons
We study Abelian sandpiles on graphs of the form , where is an arbitrary finite connected graph, and is a finite interval. We show that for any fixed…