One-Dimensional Forest Fire Models
Probability Seminar
21st February 2025, 3:30 pm – 4:30 pm
Fry Building, 2.04
I will present some generalizations of the one-dimensional forest fire model, where ignition occurs only at zero, as analyzed in particular by Volkov (2009). In more recent work, we allow the rates at which trees grow to depend on their location, and we also consider fire spreading via long-range connections. We establish that the expected time for the fire to reach a site at a distance x from the origin is at most of the order (log x)^1.443.
This talk is based on a fairly recent joint work with Mikhail Menshikov (Durham) and the late Francis Comets (Paris).
Comments are closed.