7 papers
Anchored random clusters and SLE excursions
Federico Camia, Valentino F. Foit, Rongvoram Nivesvivat
We provide a pedagogical review of CFT techniques to compute certain Schramm-Loewner Evolution (SLE) observables in the upper half-plane. The approach relies on the ability to expr…
Power-law correction in the probability density function of the critical Ising magnetization
Federico Camia, Omar El Dakkak, Giovanni Peccati
At the critical point, the probability density function of the Ising magnetization is believed to decay like , where is the Ising critical exponent that contr…
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…
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…
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…
Cover times of the massive random walk loop soup
Erik I. Broman, Federico Camia
We study cover times of subsets of by a two-dimensional massive random walk loop soup. We consider a sequence of subsets such that $|A_n…