Voter model on Sierpinski fractals

TL;DR

This paper studies how the voter model behaves on fractal lattices like Sierpinski Carpets and Gaskets, revealing a power law ordering similar to one-dimensional systems, independent of fractal complexity.

Contribution

It demonstrates that voter model dynamics on fractals follow a power law ordering akin to 1D systems, regardless of fractal ramification.

Findings

Power law ordering observed on fractal lattices.

Behavior similar to one-dimensional systems.

Orderings are independent of fractal ramification.

Abstract

We investigate the ordering of voter model on fractal lattices: Sierpinski Carpets and Sierpinski Gasket. We obtain a power law ordering, similar to the behavior of one-dimensional system, regardless of fractal ramification.