Webpage of Linxiao Chen
I am currently a postdoc in the Probability Group of ETH Zürich, where my mentor is Wendelin Werner.
From 2017 to 2020, I was a postdoc in the Mathematical Physics Group of University of Helsinki, where my mentor was Antti Kupiainen.
I obtained my PhD in mathematics in 2018 at the Institut de Physique théorique and the Laboratoire de Mathématiques d'Orsay under the supervision of Jérémie Bouttier and Nicolas Curien.
Before that, I studied mathematics and physics at ENS de Paris, Université Paris VI and Université Paris VII.
Here is my CV.
My research interests lie at the interface between combinatorics, probability theory and mathematical physics.
Currently they are centered around two themes: On the one hand, I study random maps coupled to statistical physics models such as Ising model, O(n) model and Fortuin-Kasteleyn percolation. On the other hand, I develop new analytic methods for computing coefficient asymptotics of multivariate generating functions, contributing to the theory of Analytic Combinatorics in Several Variables.
Email address: linxiao.chen@math.ethz.ch
ETH personnel contact page
Publications and preprints
- A transfer theorem for multivariate Δ-analytic functions with a power-law singularity. [arxiv]
- Enumeration of fully parked trees. [arxiv]
- Ising model on random triangulations of the disk: phase transition. [arxiv] [Supplementary Maple File]
Joint with Joonas Turunen.
- Appendix in The peeling process on random planar maps coupled to an O(n) loop model by Timothy Budd. [arxiv]
- Critical Ising model on random triangulations of the disk: enumeration and local limits. [Journal] [arxiv] [Supplementary Mathematica File]
Joint with Joonas Turunen. Communications in Mathematical Physics, 374(3):1577-1643, 2020.
- The perimeter cascade in critical Boltzmann quadrangulations decorated by an O(n) loop model. [Journal] [arxiv]
Joint with Nicolas Curien and Pascal Maillard. Annales de l'Institut Henri Poincaré D, 7(4):535-584, 2020.
- Basic properties of the infinite critical-FK random map. [Journal] [arxiv]
Annales de l'Institut Henri Poincaré D, 4(3):245-271, 2017.
Here are the abstract and manuscript of my PhD thesis.
Selected talks
- Combinatoire analytique en plusieurs variables et applications aux théorèmes limites locales. [Slides]
2021/10, Séminaire de probabilités et statistique, Université d'Angers.
- Phase transition in the Ising model on a random 2D lattice. [Slides]
2021/10, International Conference for Chinese Young Probability Scholars, online.
- A transfer theorem for ∆-analytic functions in several variables and multivariate local limit theorems. [Slides]
2021/09, Séminaire Journée CombiTop@Lyon, ENS de Lyon.
- Phase transition in the Ising model on a random 2D lattice. [Slides] [Video]
2020/06, Probability Victoria Seminar, University of Melbourne (online).
- Phase transition in the Ising model on random triangulations of the disk. [Slides]
2019/09, 2nd Helsinki-Saint-Petersburg Math Colloquium, University of Helsinki.
- Singularity analysis of generating functions given by parametric equations.
2019/07, Seminar of Analysis, University of Science and Technology of China.
- Transition de phase du modèle d'Ising sur triangulations aléatoires. [Slides]
2019/05, Séminaire de probabilités, ENS de Lyon.
- A positivity bootstrap technique for validating the generating function of loop-decorated maps. [Slides]
2018/06, Random matrices, maps, and gauge theories workshop, ENS de Lyon.
- Ising model on infinite random triangulation of the half plane. [Slides]
2018/01, Finnish mathematics days 2018, University of Eastern Finland.
Teaching