28 citations · 31 across the 3 of their papers we have counts for
3 papers
math.PR2005★ 1 cited
Bounds for avalanche critical values of the Bak-Sneppen model
Alexis Gillett, Ronald Meester, Misja Nuyens
We study the Bak-Sneppen model on locally finite transitive graphs , in particular on Z^d and on T_Delta, the regular tree with common degree Delta. We show that the avalanches…
cond-mat.soft2003★ 28 cited
The Abelian sandpile; a mathematical introduction
R. Meester, F. Redig, D. Znamenski
We give a simple rigourous treatment of the classical results of the abelian sandpile model. Although we treat results which are well-known in the physics literature, in many cases…
cond-mat.dis-nn2003★ 2 cited
Non-triviality of a discrete Bak-Sneppen evolution model
R. Meester, D. Znamenski
Consider the following evolution model, proposed in \cite{BS} by Bak and Sneppen. Put vertices on a circle, spaced evenly. Each vertex represents a certain species. We associat…