Controllability of the Voter Model: an information theoretic approach
Abstract
We address the link between the controllability or observability of a stochastic complex system and concepts of information theory. We show that the most influential degrees of freedom can be detected without acting on the system, by measuring the time-delayed multi-information. Numerical and analytical results support this claim, which is developed in the case of a simple stochastic model on a graph, the so-called voter model. The importance of the noise when controlling the system is demonstrated, leading to the concept of control length. The link with classical control theory is given, as well as the interpretation of controllability in terms of the capacity of a communication canal.
Cite
@article{arxiv.1911.06540,
title = {Controllability of the Voter Model: an information theoretic approach},
author = {Pierre-Alain Toupance and Laurent Lefèvre and Bastien Chopard},
journal= {arXiv preprint arXiv:1911.06540},
year = {2021}
}
Comments
Submitted to Journal of Computational Science on July, 2019