Xingjian Hu

collaborators

3 papers

math.PR2026

Critical Self-Similar Markov Trees

Nicolas Curien, Xingjian Hu, Dongjian Qian

Recently introduced and studied in arXiv:2407.07888, a self-similar Markov tree (ssMt) is a random decorated tree that vastly generalises the fragmentation tree. We study here the…

math.PR2026

Scaling limits of critical FK-decorated random planar maps with $q = 4$

William Da Silva, Xingjian Hu, Ellen Powell +1

We establish the first scaling limit for FK( $q$ )-weighted planar maps in the critical case $q = 4$ , resolving a problem that has remained open since Sheffield's seminal work arXiv:11…

math.PR2025

The scaling limit of the volume of loop O(n) quadrangulations

We study the volume of rigid loop- $O (n)$ quadrangulations with a boundary of length $2 p$ in the non-generic critical regime. We prove that, as the half-perimeter $p$ goes to infini…

Critical Self-Similar Markov Trees

Scaling limits of critical FK-decorated random planar maps with q=4

The scaling limit of the volume of loop O(n) quadrangulations

Scaling limits of critical FK-decorated random planar maps with $q = 4$