From the 1 of 4 linked papers with an AI index.
4 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…
Schramm-Loewner evolution contains a topological SierpiÅski carpet when is close to 8
Haoyu Liu, Zijie Zhuang
We consider the Schramm-Loewner evolution (SLE) for , which is the regime where the curve is self-intersecting but not space-filling. We show that there exists $Î…
Three-point connectivity constant for -state Potts spin clusters
Gefei Cai, Haoyu Liu, Baojun Wu +1
Recently, Ang--Cai--Sun--Wu (2024) determined the three-point connectivity constant for two-dimensional critical percolation, confirming a prediction of Delfino and Viti (2010). In…
Mixing rate exponent of planar Fortuin-Kasteleyn percolation
Haoyu Liu, Baojun Wu, Zijie Zhuang
Duminil-Copin and Manolescu (2022) recently proved the scaling relations for planar Fortuin-Kasteleyn (FK) percolation. In particular, they showed that the one-arm exponent and the…