From the 1 of 7 linked papers with an AI index.
7 papers
The bulk one-arm exponent for the CLE percolations
Haoyu Liu, Xin Sun, Pu Yu +1
The paper determines the exact bulk one‑arm exponent for CLE percolations, giving the dimension of clusters in the scaling limit of fuzzy Potts models and related criti…
Evolving fractal dimensions in iterative bicolored percolation
Shuo Wei, Haoyu Liu, Xin Sun +2
Criticality is traditionally regarded as an unstable, fine-tuned fixed point of the renormalization group. We introduce an iterative bicolored percolation process in two dimensions…
Liouville quantum gravity: from random planar maps to conformal field theory
Nina Holden, Xin Sun
Originating in theoretical physics, Liouville quantum gravity (LQG) has been an important topic in probability theory and mathematical physics in the past two decades. In this proc…
Analytic results in conformal field theory
Philine van Vliet, Emilio Trevisani, Ingo Runkel +4
Since the 1980s, many exact results have been discovered in CFT, from critical exponents to correlation functions to complete solutions of certain models. In , there is a…
Disconnection probability of Brownian motion on an annulus
Gefei Cai, Xuesong Fu, Xin Sun +1
We derive an exact formula for the probability that a Brownian path on an annulus does not disconnect the two boundary components of the annulus. The leading asymptotic behavior of…
Annulus crossing formulae for critical planar percolation
Xin Sun, Shengjing Xu, Zijie Zhuang
We derive exact formulae for three basic annulus crossing events for the critical planar Bernoulli percolation in the continuum limit. The first is for the probability that there i…