37 citations · 49 across the 2 of their papers we have counts for
Showing 2015 · math.PRShow all
2 papers · 2 filters
math.PR2015★ 12 cited
Mean-field behavior for nearest-neighbor percolation in
Robert Fitzner, Remco van der Hofstad
We prove that nearest-neighbor percolation in dimensions displays mean-field behavior by proving that the infrared bound holds, in turn implying the finiteness of the pe…
math.PR2015
Generalized approach to the non-backtracking lace expansion
Robert Fitzner, Remco van der Hofstad
The lace expansion is a powerful perturbative technique to analyze the critical behavior of random spatial processes such as the self-avoiding walk, percolation and lattice trees a…