Abstract
We first study the convergence of solutions of a system of F-KPP equations related to irreducible multi-type branching Brownian motions with Heaviside-type initial conditions to traveling wave solutions. Then we apply this convergence result to prove that the extremal process of an irreducible multi-type branching Brownian motion converges weakly to a cluster point process.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1417-1473 |
| Number of pages | 57 |
| Journal | Alea (Rio de Janeiro) |
| Volume | 21 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2024 |
Keywords
- Extremal process
- irreducible multi-type branching Brownian motion
- non-local Feynman-Kac formula
ASJC Scopus subject areas
- Statistics and Probability