4 papers · 1 filter
Extinction probabilities in branching processes with countably many types: a general framework
Daniela Bertacchi, Peter Braunsteins, Sophie Hautphenne +1
We consider Galton-Watson branching processes with countable typeset . We study the vectors recording the conditional probabili…
A sample-path large deviation principle for dynamic Erdős-Rényi random graphs
Peter Braunsteins, Frank den Hollander, Michel Mandjes
We consider a dynamic Erdős-Rényi random graph (ERRG) on vertices in which each edge switches on at rate and switches off at rate , independently of other edges. The foc…
Local limit theorems for occupancy models
A. D. Barbour, Peter Braunsteins, Nathan Ross
We present a rather general method for proving local limit theorems, with a good rate of convergence, for sums of dependent random variables. The method is applicable when a Stein…
The probabilities of extinction in a branching random walk on a strip
Peter Braunsteins, Sophie Hautphenne
We consider a class of multitype Galton-Watson branching processes with a countably infinite type set whose mean progeny matrices have a block lower Hessenberg form…