111 citations · 350 across the 13 of their papers we have counts for
13 papers
Universality for first passage percolation on sparse random graphs
Shankar Bhamidi, Remco van der Hofstad, Gerard Hooghiemstra
We consider first passage percolation on sparse random graphs with prescribed degree distributions and general independent and identically distributed edge weights assumed to have…
Scale-free percolation
Maria Deijfen, Remco van der Hofstad, Gerard Hooghiemstra
We formulate and study a model for inhomogeneous long-range percolation on $\Zbold^d$. Each vertex $x\in\Zbold^d$ is assigned a non-negative weight , where $(W_x)_{x\in\Zbold^…
Weak disorder in the stochastic mean-field model of distance II
Shankar Bhamidi, Remco van der Hofstad, Gerard Hooghiemstra
In this paper, we study the complete graph with n vertices, where we attach an independent and identically distributed (i.i.d.) weight to each of the n(n-1)/2 edges. We focus…
First passage percolation on the Erdős-Rényi random graph
Shankar Bhamidi, Remco van der Hofstad, Gerard Hooghiemstra
In this paper we explore first passage percolation (FPP) on the Erdős-Rényi random graph , where each edge is given an independent exponential edge weight with rate 1. In…
Extreme value theory, Poisson-Dirichlet distributions and FPP on random networks
Shankar Bhamidi, Remco van der Hofstad, Gerard Hooghiemstra
We study first passage percolation on the configuration model (CM) having power-law degrees with exponent . To this end we equip the edges with exponential weights. We…
First passage percolation on random graphs with finite mean degrees
Shankar Bhamidi, Remco van der Hofstad, Gerard Hooghiemstra
We study first passage percolation on the configuration model. Assuming that each edge has an independent exponentially distributed edge weight, we derive explicit distributional a…