188 citations · 889 across the 32 of their papers we have counts for
5 papers · 1 filter
Sliding blocks with random friction and absorbing random walks
A. R. Lima, Cristian F. Moukarzel, I. Grosse +1
With the purpose of explaining recent experimental findings, we study the distribution of distances traversed by a block that slides on an inclined plane and stops due t…
Spreading and shortest paths in systems with sparse long-range connections
Cristian F. Moukarzel
Spreading according to simple rules (e.g. of fire or diseases), and shortest-path distances are studied on d-dimensional systems with a small density p per site of long-range conne…
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…
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…
First-order transition in small-world networks
M. Argollo de Menezes, C. Moukarzel, T. J. P. Penna
The small-world transition is a first-order transition at zero density of shortcuts, whereby the normalized shortest-path distance undergoes a discontinuity in the thermodynami…