This unique volume discusses some recent developments in the theory of spatial branching
processes and superprocesses, with special emphasis on spines, Laws of Large Numbers …

We introduce and investigate a new model of a finite number of particles jumping forward on
the real line. The jump lengths are independent of everything, but the jump rate of each …

We consider a discrete-time binary branching random walk with independent standard
normal increments subject to a penalty $\b $ for every pair of particles that get within …

We study a repulsion-diffusion equation with immigration, whose asymptotic behaviour is
related to stability of long-term dynamics in spatial population models and other branching …

Conditioning a branching Brownian motion to have an atypically low maximum leads to a
suppression of the branching mechanism. In this note, we consider a branching Brownian …

We construct a supercritical interacting measure-valued diffusion with representative
particles that are attracted to, or repelled from, the center of mass. Using the historical …

We consider a model of branching Brownian motion with self-repulsion. Self-repulsion is
introduced via a change of measure that penalises particles spending time in an ϵ …

A d-dimensional branching diffusion, Z, is investigated, where the linear attraction or
repulsion between particles is competing with an Ornstein-Uhlenbeck drift, with parameter b …

A $ d $-dimensional branching diffusion, $ Z $, is investigated, where the linear attraction or
repulsion between particles is competing with an Ornstein-Uhlenbeck drift, with parameter …

In this dissertation, we study the behavior of the particle system of a branching process. In
particular, we focus on the branching Brownian motion with some drift. For the center of the …