I am a Ph.D. student at School of Mathematics, Peking University. I am in the probability group and my advisor is Prof. Yan-Xia Ren. I graduated from Shandong University in 2020.
I’m interested in probabilistic models, particularly those that incorporate tree and graph structures. I have been working on the following topics
Erdős–Rényi random graphs: recovery problem.
Branching random walks: maximum, martingales(partition functions), and level sets.
I am trying to learn and work on more interesting subjects, e.g., random trees and random networks, universality class of log-correlated fields, Gaussian multiplicative chaos, etc.
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