2 papers
math.PR2020
State-Driven Dynamic Graphon Model
Shizhou Xu, Quanyan Zhu
This paper shows the equivalence class definition of graphons hinders a direct development of dynamics on the graphon space, and hence proposes a state-driven approach to obtain dy…
math.PR2018
Operator-Theoretical Treatment of Ergodic Theorem and Its Application to Dynamic Models in Economics
Shizhou Xu
The purpose of this paper is to study the time average behavior of Markov chains with transition probabilities being kernels of completely continuous operators, and therefore to pr…