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On the speed of biased random walk in translation invariant percolation
speed of biased random translation invariant percolation
2011/2/21
For biased random walk on the infinite cluster in supercritical i.i.d.percolation on Z2, where the bias of the walk is quantified by a parameter > 1,it has been conjectured (and partly proved) that ...
Giant vacant component left by a random walk in a random d-regular graph
Random walk vacant set regular graph expanders random interlacement
2011/2/25
We study the trajectory of a simple random walk on a d-regular graph with d ≥ 3 and locally tree-like structure as the number n of vertices grows. Examples of such graphs include random d-regular grap...