[Oct 2026] Stat-Mech in Créteil 2026 will take place on October 8–9, 2026, bringing together recent advances in statistical mechanics and discrete stochastic models.
Yuguang XIAO 肖煜光
I work in probability and mathematical statistical mechanics, with a focus on Ising models (nearest-neighbor and long-range), height models, and random interfaces.
About Me
Beginning in October 2026, I will be a PhD student in mathematics at the LAMA, Université Gustave Eiffel. My doctoral project, Interface Models in Mathematical Statistical Mechanics, will be supervised by Arnaud Le Ny (LAMA, UPEC) and Pierre Monmarché (LAMA, UGE). The project lies at the intersection of probability theory, statistical mechanics, and ergodic theory. Previously, I was a student in the M2 Probabilités et Modèles Aléatoires program at Sorbonne Université.
I have been fortunate to take part in several research projects, including the long-range Ising model with Arnaud Le Ny, bi-Lipschitz equivalence of separated nets in Banach spaces with Alexandros Eskenazis, and collective motion modeling with Diane Peurichard.
News
[Jul 2026] I am delighted to have been awarded a doctoral fellowship from the MSTIC Doctoral School (ED 532), supporting my PhD at UGE from October 1, 2026 to September 30, 2029. My doctoral project, Modèles d’Interfaces en Mécanique Statistique Mathématique, will be supervised by Arnaud LE NY (UPEC), with Pierre MONMARCHÉ (UGE) as co-supervisor.
[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 July 20, 2026.
Research
Stochastic Processes
Random walks, Markov and non-Markovian dynamics, and memory effects.
Statistical Mechanics
Nearest-neighbor and long-range Ising models, height models, and random interfaces.
Future Interests
Schramm–Loewner evolution (SLE) and KPZ universality.
Education
Sorbonne Université, Paris
Master 2 in Probability and Random Models (PMA)
2025-2026 (expected)
Sorbonne Université, Paris
Master 1 Mathematics and Applications
2024-2025
Sorbonne Université, Paris
Double Bachelor's degree in Mathematics and Physics
2020-2024
Research Experience
Université Paris-Est Créteil, Paris
M2 Research Intern
Topic: Long-range Ising model
Advisor: Arnaud LE NY
April 2026 - July 2026
Sorbonne Université, Paris
M1 Research Intern
Topic: Bi-Lipschitz equivalence of separated nets in Banach spaces
Advisor: Alexandros ESKENAZIS
2025
Sorbonne Université, Paris
L3 Research Intern
Topic: Collective motion modeling
Advisor: Diane PEURICHARD
2024