Mar 6, 2020
On the threshold of spread-out contact process percolation
Budapest – Vienna Probability Seminar
Date: March 6, 2020 |
4:30 pm –
Speaker: Balázs Ráth, TU Budapest=BME
Location: Rényi Institute, Budapest
In the (spread-out) d-dimensional contact process, vertices can be healthy or infected. With rate one infected sites recover, and with rate lambda they transmit the infection to some other vertex chosen uniformly within a ball of radius R. In configurations sampled from the upper stationary distribution, we study nearest-neighbor site percolation of the set of infected sites and describe the asymptotic behaviour of the associated percolation threshold as R tends to infinity. Joint work with Daniel Valesin.