Portrait of Yuguang XIAO

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.

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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

[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.

[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