89 citations · 195 across the 12 of their papers we have counts for
11 papers · 1 filter
Distances in random graphs with finite variance degrees
Remco van der Hofstad, Gerard Hooghiemstra, Piet Van Mieghem
In this paper we study a random graph with nodes, where node has degree and are i.i.d. with $\prob(D_j\leq x)=F(x)$. We assume that $1-F(x)\leq c x^…
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…
Infinite canonical super-Brownian motion and scaling limits
Remco van der Hofstad
We construct a measure valued Markov process which we call infinite canonical super-Brownian motion, and which corresponds to the canonical measure of super-Brownian motion conditi…
Maximal clusters in non-critical percolation and related models
Remco van der Hofstad, Frank Redig
We investigate the maximal non-critical cluster in a big box in various percolation-type models. We investigate its typical size, and the fluctuations around this typical size. The…
Critical points for spread-out self-avoiding walk, percolation and the contact process above the upper critical dimensions
Remco van der Hofstad, Akira Sakai
We consider self-avoiding walk and percolation in $\Zd$, oriented percolation in $\Zd\times\Zp$, and the contact process in $\Zd$, with being the coupling function who…
Gaussian scaling for the critical spread-out contact process above the upper critical dimension
Remco van der Hofstad, Akira Sakai
We consider the critical spread-out contact process in $\Zd$ with , whose infection range is denoted by . The two-point function is the probability that $…