Long-range voter dynamics on fractal substrates

Determine the behavior of a long-range voter model on fractal substrates, particularly whether long-range interactions can produce super-diffusive motion in a system whose substrate-induced short-range dynamics is sub-diffusive.

Background

The paper studies nearest-neighbour voter interactions on fractal substrates and finds sub-diffusive dynamics governed by the spectral index. Long-range voter models on Euclidean lattices can instead display super-diffusive behavior for suitable interaction exponents. The authors leave unresolved what behavior would result from combining long-range voter interactions with fractal geometry.