6 citations · 7 across the 7 of their papers we have counts for
8 papers
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…
Backbone exponent and annulus crossing probability for planar percolation
Pierre Nolin, Wei Qian, Xin Sun +1
We report the recent derivation of the backbone exponent for 2D percolation. In contrast to previously known exactly solved percolation exponents, the backbone exponent is a transc…
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…