Before revision:  Specifically, we formulate continuous-time Laplacian dynamics and a discrete-time DeGroot model of opinion dynamics in these tie-decay networks, and we carry out numerical computations for the continuous-time Laplacian dynamics.
After revision:  Specifically, we formulate continuous-time Laplacian dynamics and a discrete-time DeGroot model of opinion dynamics on these tie-decay networks, and we carry out numerical computations for the continuous-time Laplacian dynamics.