89 citations · 372 across the 29 of their papers we have counts for
4 papers · 2 filters
Non-backtracking random walk
Robert Fitzner, Remco van der Hofstad
We consider non-backtracking random walk (NBW) in the nearest-neighbor setting on the Zd-lattice and on tori. We evaluate the eigensystem of the m X m-dimensional transition matrix…
Ising critical exponents on random trees and graphs
Sander Dommers, Cristian Giardinà, Remco van der Hofstad
We study the critical behavior of the ferromagnetic Ising model on random trees as well as so-called locally tree-like random graphs. We pay special attention to trees and graphs w…
Unlacing the lace expansion: a survey to hypercube percolation
Remco van der Hofstad, Asaf Nachmias
The purpose of this note is twofold. First, we survey the study of the percolation phase transition on the Hamming hypercube {0,1}^m obtained in the series of papers [9,10,11,24].…
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…