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math.PR2025
The percolation energy field and its logarithmic partner
Federico Camia, Yu Feng
For site percolation on the triangular lattice, we define two lattice fields that form a logarithmic pair in the sense of conformal field theory. We show that, at the critical poin…
math.PR2024
Conformal covariance of connection probabilities in the 2D critical FK-Ising model
Federico Camia, Yu Feng
We study connection probabilities between vertices of the square lattice for the critical random-cluster (FK) model with cluster weight 2, which is related to the critical Ising mo…
math.PR2023
Triviality of critical Fortuin-Kasteleyn decorated planar maps for
Yuyang Feng
We consider infinite random planar maps decorated by the critical Fortuin-Kasteleyn model with parameter . The paper demonstrates that when appropriately rescaled, these maps…