Anomalous spreading in reducible multitype branching Brownian motion

Extremal process for irreducible multitype branching Brownian motion

“…Remark 1.7 The asymptotic behavior above for irreducible multi-type branching Brownian motion is similar to the one obtained in [2,4] for a single-type branching Brownian motion. Belloum and Mallein [6] and Belloum [7] considered a 2-type reducible branching Brownian motion and their results are quite different. In their model, particles of type 1 move as a Brownian motion with diffusion coefficient σ 2 , reproduce with branching rate β + α and offspring distribution {p k (1)} satisfying p (2,0) (1) = β β+α , p (1,1) (1) = α α+β .…”

The extremal process of a cascading family of branching Brownian motion

“…The rest of the paper is organised as follows. In the next section, we recall a version of a multitype many-to-one lemma that was introduced in [4]. In Section 3, we introduce some useful lemmas in the context of standard BBM.…”

“…In a recent paper [4], we studied the asymptotic behaviour of the extremal process of a two-type reducible branching Brownian motion where particles move and reproduce at a different rate. Note that the model we considered here can be seen as a critical case of the one studied in [4].…”