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math.PR2023
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…
math.PR2021
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…