Showing 1999Show all
2 papers · 1 filter
cond-mat.dis-nn1999
Infinite characteristic length on small-world systems
Cristian F. Moukarzel, Marcio Argollo de Menezes
It was recently claimed that on d-dimensional small-world networks with a density p of shortcuts, the typical separation s(p) ~ p^{-1/d} between shortcut-ends is a characteristic l…
cond-mat.stat-mech1999
Directed rigidity and bootstrap percolation in (1+1) dimensions
Marcio Argollo de Menezes, Cristian F. Moukarzel
We study directed rigidity percolation (equivalent to directed bootstrap percolation) on three different lattices: square, triangular, and augmented triangular. The first two of th…