53 citations · 489 across the 66 of their papers we have counts for
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math.PR2011★ 1 cited
Random walks reaching against all odds the other side of the quarter plane
Johan S. H. van Leeuwaarden, Kilian Raschel
For a homogeneous random walk in the quarter plane with nearest-neighbor transitions, starting from some state , we study the event that the walk reaches the vertical ax…
math.PR2011★ 21 cited
Random walks in the quarter plane with zero drift: an explicit criterion for the finiteness of the associated group
Guy Fayolle, Kilian Raschel
In many recent studies on random walks with small jumps in the quarter plane, it has been noticed that the so-called "group" of the walk governs the behavior of a number of quantit…