4 papers · 1 filter
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…
Schramm-Loewner evolution contains a topological Sierpiński 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 $δ_0…
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…
The bulk one-arm exponent for the CLE percolations
Haoyu Liu, Xin Sun, Pu Yu +1
The conformal loop ensemble (CLE) is a conformally invariant random collection of loops. In the non-simple regime , it describes the scaling limit of the critical Fort…