19 citations · 20 across the 2 of their papers we have counts for
2 papers
cond-mat.stat-mech2001★ 1 cited
Probability distribution of the sizes of largest erased-loops in loop-erased random walks
Himanshu Agrawal, Deepak Dhar
We have studied the probability distribution of the perimeter and the area of the k-th largest erased-loop in loop-erased random walks in two-dimensions for k = 1 to 3. For a rando…
cond-mat.stat-mech2000★ 19 cited
Distribution of sizes of erased loops of loop-erased random walks in two and three dimensions
Himanshu Agrawal, Deepak Dhar
We show that in the loop-erased random walk problem, the exponent characterizing probability distribution of areas of erased loops is superuniversal. In d-dimensions, the probabili…