5 problems

Let $G$ be a planar lattice, let $p_c=p_c(G)$ be the critical point for regular site percolation, and define … where $\theta(p,\delta)$ is the probability that the origin belongs t…

Consider the self-destructive percolation model on the square lattice or another planar lattice: first perform ordinary site percolation with parameter $p$, then make every site in…

Van den Berg–Brouwer conjecture. There exists a constant $c>0$ such that

A typical configuration for self-destructive percolation on $\mathbb{Z}^2$ with parameters $(p,\delta)$ is obtained by first sampling ordinary site percolation with parameter $p$,…

Consider self-destructive site percolation on the square, triangular, or honeycomb lattice. For $p\in[p_c,1]$, let $\delta_c(p)$ be the critical enhancement parameter such that the…