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math.PR2024
On the iterations of some random functions with Lipschitz number one
Yingdong Lu, Tomasz Nowicki
For the iterations of random functions with Lipschitz number one, we represent the dynamics as a Markov chain and prove its convergence under mild conditions. We a…
math.PR2021
Approximating the Markov Chain of the Curie-Weiss Model
Yingdong Lu
In this paper, we quantify some known approximation to the Curie-Weiss model via applying the Stein method to the Markov chain whose stationary distribution coincides with Curie-We…