Tzu-Chi Lin

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math.PR2022

Opinion dynamics on directed complex networks

Nicolas Fraiman, Tzu-Chi Lin, Mariana Olvera-Cravioto

We propose and analyze a mathematical model for the evolution of opinions on directed complex networks. Our model generalizes the popular DeGroot and Friedkin-Johnsen models by all…

math.PR2020

Stochastic recursions on directed random graphs

Nicolas Fraiman, Tzu-Chi Lin, Mariana Olvera-Cravioto

For a directed graph $G (V_{n}, E_{n})$ on the vertices $V_{n} = {1, 2, \dots, n}$ , we study the distribution of a Markov chain ${R^{(k)} : k \geq 0}$ on $R^{n}$ such that…