Year: 2026
Type: article
Abstract: ABSTRACT 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 walks with a constant breeding law and independent dispersal of offspring, which are characterized by a one‐dimensional generating function. In this work, we investigate the properties of the extension of this concept to processes characterized by a multidimensional generating function, such as, general branching random walks and rumor processes. In particular, we use germ ordering to characterize the behavior of certain branching random walks and rumor processes with inhomogeneous breeding/transmitting laws.
DOI: 10.1111/sjos.70084
Authors: Daniela Bertacchi, Fabio Zucca
Institutions: University of Milano-Bicocca, Politecnico di Milano
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4415064001
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