139 citations · 656 across the 26 of their papers we have counts for
3 papers · 1 filter
The critical fugacity for surface adsorption of self-avoiding walks on the honeycomb lattice is
Nicholas R. Beaton, Mireille Bousquet-Mélou, Jan de Gier +2
In 2010, Duminil-Copin and Smirnov proved a long-standing conjecture of Nienhuis, made in 1982, that the growth constant of self-avoiding walks on the hexagonal (a.k.a. honeycomb)…
On the importance sampling of self-avoiding walks
Mireille Bousquet-Mélou
In a 1976 paper published in Science, Knuth presented an algorithm to sample (non-uniform) self-avoiding walks crossing a square of side k. From this sample, he constructed an esti…
The number of intervals in the m-Tamari lattices
Mireille Bousquet-Mélou, Eric Fusy, Louis-François Préville Ratelle
An m-ballot path of size n is a path on the square grid consisting of north and east steps, starting at (0,0), ending at (mn,n), and never going below the line {x=my}. The set of t…