Dynamical noise sensitivity for the voter model
Probability
2022-10-11 v2
Abstract
We study noise sensitivity of the consensus opinion of the voter model on finite graphs, with respect to noise affecting the initial opinions and noise affecting the dynamics. We prove that the final opinion is stable with respect to small perturbations of the initial configuration, and is sensitive to perturbations of the dynamics governing the evolution of the process. Our proofs rely on the duality relationship between the voter model and coalescing random walks, and on a precise description of this evolution when we have coupled dynamics.
Cite
@article{arxiv.2111.12354,
title = {Dynamical noise sensitivity for the voter model},
author = {Gideon Amir and Omer Angel and Rangel Baldasso and Ron Peretz},
journal= {arXiv preprint arXiv:2111.12354},
year = {2022}
}
Comments
8 pages. Manuscript matching plublished version