On the duality between consensus problems and Markov processes, with application to delay systems
Probability
2025-12-30 v1 Mathematical Physics
math.MP
Abstract
We consider consensus of multi-agent systems as a dual problem to Markov processes. Based on an exchange of relevant notions and results between the two fields, we present a uniform framework which admits the introduction and treatment of time delays in a common setting. We study both information propagation and information processing delays, and for each case derive conditions for reaching consensus and calculate the consensus value.
Cite
@article{arxiv.2512.22554,
title = {On the duality between consensus problems and Markov processes, with application to delay systems},
author = {Fatihcan M. Atay},
journal= {arXiv preprint arXiv:2512.22554},
year = {2025}
}