Yuguang XIAO - Homepage

About Me

I am currently completing my M2 internship at the LAMA (Université Paris-Est Créteil), under the supervision of Arnaud LE NY. My internship focuses on the long-range Ising model and related questions in probability and statistical mechanics. I am also a second year Master's (M2) student in Probability and Random Models (M2-PMA), in the Stochastic Processes track, at Sorbonne Université.

I have been fortunate to work on several research projects, including the study of bi-Lipschitz equivalence of separated nets in Banach spaces with Alexandros ESKENAZIS, and collective motion modeling with Diane PEURICHARD.

Research Directions

01

Stochastic Processes

I am interested in random walks, Markov and non-Markovian dynamics, and the probabilistic structures behind memory effects.

02

Statistical Mechanics

My current work concerns long-range Ising-type models and related questions on phase transitions, interfaces, and interacting particle systems.

03

Mathematical Modeling

I also enjoy probabilistic models arising from collective motion and neuroscience, especially Hawkes processes and stochastic models of neural activity.

News

[Apr 2026] I’ll be working on the long-range Ising model with Arnaud LE NY at Université Paris-Est Créteil (UPEC) as my M2 internship from April 20 to June 20, 2026.