U-bootstrap percolation: Critical probability, exponential decay and applications
U-bootstrap percolation: Critical probability, exponential decay and applications
Bootstrap percolation is a wide class of monotone cellular automata with random initial state. In this work we develop tools for studying in full generality one of the three `universality' classes of bootstrap percolation models in two dimensions, termed subcritical. We introduce the new notion of `critical densities' serving the …