ritvikmath: Yule-Walker equations
Important thing to notice about the poll-delayed voter model is that it is a second order auto-regressive process. In [1] we have used this observation to derive an analytical expression for the stationary variance for the model. To understand how this result came to be, the following video by ritvikmath might prove useful.
References
- A. Kononovicius, R. Astrauskas, M. Radavičius, F. Ivanauskas. Delayed interactions in the noisy voter model through the periodic polling mechanism. Physica A 652: 130062 (2024). doi: 10.1016/j.physa.2024.130062. arXiv:2403.10277 [physics.soc-ph].