28 citations · 35 across the 3 of their papers we have counts for
3 papers
math.PR2004★ 5 cited
Distances in random graphs with infinite mean degrees
Remco van der Hofstad, Gerard Hooghiemstra, Dmitri Znamenski
We study random graphs with an i.i.d. degree sequence of which the tail of the distribution function is regularly varying with exponent . Thus, the degrees have inf…
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…