2 citations · 3 across the 5 of their papers we have counts for
5 papers
Scaling Limits of Two-Dimensional Percolation: an Overview
Federico Camia
We present a review of the recent progress on percolation scaling limits in two dimensions. In particular, we will consider the convergence of critical crossing probabilities to Ca…
The high temperature Ising model on the triangular lattice is a critical percolation model
Andras Balint, Federico Camia, Ronald Meester
The Ising model at inverse temperature and zero external field can be obtained via the Fortuin-Kasteleyn (FK) random-cluster model with and density of open edges $p=1-e^{…
Universality in Two-Dimensional Enhancement Percolation
Federico Camia
We consider a type of dependent percolation introduced by Aizenman and Grimmett, who showed that certain "enhancements" of independent (Bernoulli) percolation, called essential, ma…
Large-N Limit of Crossing Probabilities, Discontinuity, and Asymptotic Behavior of Threshold Values in Mandelbrot's Fractal Percolation Process
Erik I. Broman, Federico Camia
We study Mandelbrot's percolation process in dimension . The process generates random fractal sets by an iterative procedure which starts by dividing the unit cube $[0,1]…
Sharp phase transition and critical behaviour in 2D divide and colour models
Andras Balint, Federico Camia, Ronald Meester
Consider subcritical Bernoulli bond percolation with fixed parameter p<p_c. We define a dependent site percolation model by the following procedure: for each bond cluster, we colou…