In the paper we prove that a quadratic stochastic process satisfies the ergodic principle if and only if the associated Markov process satisfies one. © 2006 Elsevier Inc. All rights reserved.
Ganikhodjaev, N., Akin, H., & Mukhamedov, F. (2006). On the ergodic principle for Markov and quadratic stochastic processes and its relations. Linear Algebra and Its Applications, 416(2–3), 730–741. https://doi.org/10.1016/j.laa.2005.12.032