6 papers
Critical parameters of germ-monotone families of branching random walks
Daniela Bertacchi, Fabio Zucca
We introduce a broad class of families of branching random walks on a countable set , which we refer to as germ-monotone branching random walks (GMBRWs). The processes in each f…
Branching random walks with ageing
Daniela Bertacchi, Elena Montanaro, Fabio Zucca
Branching processes are models used to describe populations that reproduce and die over time. In the classical setting, an individual's reproductive capacity remains constant throu…
On the critical parameters of branching random walks
Daniela Bertacchi, Fabio Zucca
Given a discrete spatial structure , we define continuous-time branching processes that model a population breeding and dying on . These processes are usually called branchin…
Results on branching random walks and rumor processes via germ order
Daniela Bertacchi, Fabio Zucca
Germ order is a non-standard stochastic order defined through the comparison of the generating functions of the processes. This order was first introduced for branching random walk…
Strong survival and extinction for multitype branching processes via a new order for generating functions
Daniela Bertacchi, Fabio Zucca
We consider general discrete-time multitype branching processes on a countable set . According to these processes, a particle of type generates a random number of child…
Martin boundaries and asymptotic behavior of branching random walks
Daniela Bertacchi, Elisabetta Candellero, Fabio Zucca
Let be an infinite, locally finite graph. We investigate the relation between supercritical, transient branching random walk and the Martin boundary of its underlying random wa…