24 citations · 91 across the 18 of their papers we have counts for
Showing 2011 · math.PRShow all
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math.PR2011★ 6 cited
A proof of the Lyons-Pemantle-Peres monotonicity conjecture for high biases
Gerard Ben Arous, Alexander Fribergh, Vladas Sidoravicius
The speed of a -biased random walk on a Galton-Watson tree without leaves is increasing for .
math.PR2011★ 6 cited
Biased random walk in positive random conductances on
Alexander Fribergh
We study the biased random walk in positive random conductances on . This walk is transient in the direction of the bias. Our main result is that the random walk is…
math.PR2011★ 2 cited
Phase transition for the speed of the biased random walk on the supercritical percolation cluster
Alexander Fribergh, Alan Hammond
We prove the sharpness of the phase transition for speed in the biased random walk on the supercritical percolation cluster on Z^d. That is, for each d at least 2, and for any supe…