28 citations · 50 across the 5 of their papers we have counts for
5 papers
Distances in random graphs with finite mean and infinite variance degrees
Remco van der Hofstad, Gerard Hooghiemstra, Dmitri Znamenski
In this paper we study random graphs with independent and identically distributed degrees of which the tail of the distribution function is regularly varying with exponent $τ\in (2…
Random graphs with arbitrary i.i.d. degrees
Remco van der Hofstad, Gerard Hooghiemstra, Dmitri Znamenski
In this paper we derive results concerning the connected components and the diameter of random graphs with an arbitrary i.i.d. degree sequence. We study these properties primarily,…
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…
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…
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…