37 citations · 37 across the 1 of their papers we have counts for
2 papers
math-ph2019
NoBLE for lattice trees and lattice animals
Robert Fitzner, Remco van der Hofstad
We study lattice trees (LTs) and animals (LAs) on the nearest-neighbor lattice in high dimensions. We prove that LTs and LAs display mean-field behavior above dimens…
math.PR2012★ 37 cited
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…