27 citations · 87 across the 13 of their papers we have counts for
17 papers
Self-avoiding trails in two and three dimensions
Xiaodi Su, Zongzheng Zhou, Qianqian Wu
The self-avoiding trail is an important variant of the self-avoiding walk. In this work, we employ an irreversible Markov chain Monte Carlo algorithm, together with the reversible…
The rate of convergence of the critical mean-field O(N) magnetization via multivariate nonnormal Stein's method
Timothy M. Garoni, Aram Perez, Zongzheng Zhou
We study the distribution of the magnetization of the critical mean-field O(N) model with N > 1. Specifically, we bound the Wasserstein distance between the finite-volume and limit…
Correction-to-scaling exponent for percolation and the Fortuin--Kasteleyn Potts model in two dimensions
Yihao Xu, Tao Chen, Zongzheng Zhou +2
The number of clusters (per site) of size , a central quantity in percolation theory, displays at criticality an algebraic scaling behavior of the form $n_s\simeq s^{-τ}\,…
Logarithmic Finite-Size Scaling of the Four-Dimensional Ising Model
Zhiyi Li, Tianning Xiao, Zongzheng Zhou +2
Field-theoretical calculations predict that, at the upper critical dimension , the finite-size scaling (FSS) behaviors of the Ising model would be modified by multiplicative…
Finite-Size Scaling of the High-Dimensional Ising Model in the Loop Representation
Tianning Xiao, Zhiyi Li, Zongzheng Zhou +2
Besides its original spin representation, the Ising model is known to have the Fortuin-Kasteleyn (FK) bond and loop representations, of which the former was recently shown to exhib…
Interplay of the complete-graph and Gaussian fixed-point asymptotics in finite-size scaling of percolation above the upper critical dimension
Mingzhong Lu, Sheng Fang, Zongzheng Zhou +1
Percolation has two mean-field theories, the Gaussian fixed point (GFP) and the Landau mean-field theory or the complete graph (CG) asymptotics. By large-scale Monte Carlo simulati…