4 citations · 5 across the 4 of their papers we have counts for
4 papers
An urn model for opinion propagation on networks
Andrew Melchionna
We consider a coupled Polya's urn scheme for social dynamics on networks. Agents hold continuum-valued opinions on a two-state issue and randomly converse with their neighbors on a…
Stochastic Sandpile on a Cycle
Andrew Melchionna
In the stochastic sandpile model on a graph, particles interact pairwise as follows: if two particles occupy the same vertex, they must each take an independent random walk step wi…
The sandpile identity element on an ellipse
Andrew Melchionna
We consider certain elliptical subsets of the square lattice. The recurrent representative of the identity element of the sandpile group on this graph consists predominantly of a b…
The Impact of Imperfect Information on Network Attack
Andrew Melchionna, Jesus Caloca, Shane Squires +3
This paper explores the effectiveness of network attack when the attacker has imperfect information about the network. For Erdős-Rényi networks, we observe that dynamical importanc…