The extinction of the contact process in a one-dimensional random environment with long-range interactions

Pablo A. Gomes, Marcelo R. Hilário, Bernardo N. B. de Lima +1

We study the contact process on the long-range percolation cluster on $\mathbb{Z}$ where each edge $⟨i,j⟩$ is open with probability $|i-j{|}^{-s}$ for $s>2$. Using a r…