Portrait of Yuguang XIAO

Yuguang XIAO 肖煜光

PhD student · Doctoral researcher

LAMA · UGE

I study probability and mathematical statistical mechanics, with a focus on long-range models and random interfaces.

About me

Since 1 October 2026, I have been a mathematics PhD student and doctoral researcher at UGE, based at LAMA in Créteil and Champs-sur-Marne as a member of the Probability and Statistics team. My project, Modèles d’Interfaces en Mécanique Statistique Mathématique, is supervised by Arnaud LE NY (UPEC) and co-supervised by Pierre MONMARCHÉ (UGE). The doctoral period runs through 30 September 2029 and is funded by the MSTIC Doctoral School (ED 532).

UPEC office: 2P 244

Education

Research interests

  • Stochastic processes — random walks and Markovian or non-Markovian dynamics.
  • Statistical mechanics — Ising models, percolation, height models and random interfaces.
  • Further interests — SLE and KPZ universality.

Selected research

M2 · Research internship · April-July 2026

The Long-Range Ising Model in 1D at Inverse-Square Decay

LAMA - Université Paris-Est Créteil, Créteil

Supervisor: Arnaud LE NY

A study of the critical magnetisation jump through FK renormalisation and random currents, with a comparison to the inverse-square Discrete Gaussian Chain.

News

I started my PhD and doctoral employment at UGE, joining LAMA to work on interface models in mathematical statistical mechanics.

I have completed my M2 at Sorbonne Université. My internship report and slides on the inverse-square long-range Ising model are now available.