2 papers
math.PR2025
Coupling Invasion and First Passage Percolation
Aldo Morelli
It is well known that a continuous phase transition in Bernoulli bond percolation on the integer lattice is equivalent to a vanishing probability a vertex is invaded in invasion pe…
math.PR2025
Activated random walk on the comb
Matthew Junge, Josh Meisel, Aldo Morelli
The density conjecture for activated random walk on the interval was recently resolved using a new tool called layer percolation. As a step towards understanding how layer percolat…