Before revision:  These phenomena (as well as the convergence rate \lambda_2) are found to exhibit optima for intermediate \omega, and we explore their relation to imbalances for the intralayer degrees of nodes . To provide analytical insight, we characterize stationary distributions for when there is timescale separation between transitions within and between layers (i. e., \omega and \omega ) .
After revision:  These phenomena (as well as the convergence rate \lambda_2) are found to exhibit optima for intermediate \omega, and we explore their relation to imbalances for the intralayer degrees of nodes in different layers. To gain further insight, we characterize stationary distributions for when there is timescale separation between transitions within and between layers (i. e., \omega and \omega ) .