3 papers
math.PR2026
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-ph2025
Conformally covariant probabilities, operator product expansions, and logarithmic correlations in two-dimensional critical percolation
Federico Camia, Yu Feng
The large-scale behavior of two-dimensional critical percolation is expected to be described by a conformal field theory (CFT). Moreover, this putative CFT is believed to be of the…
math.PR2025
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…