27 citations · 32 across the 2 of their papers we have counts for
2 papers
cond-mat.stat-mech2004★ 5 cited
Drowsy Cheetah Hunting Antelopes: A Diffusing Predator Seeking Fleeing Prey
Karen Winkler, Alan J. Bray
We consider a system of three random walkers (a `cheetah' surrounded by two `antelopes') diffusing in one dimension. The cheetah and the antelopes diffuse, but the antelopes experi…
cond-mat.stat-mech2004★ 27 cited
Vicious Walkers in a Potential
Alan J. Bray, Karen Winkler
We consider N vicious walkers moving in one dimension in a one-body potential v(x). Using the backward Fokker-Planck equation we derive exact results for the asymptotic form of the…