activity
20162026
most citedExtinction in lower Hessenberg branching processes with countably many types

16 citations · 22 across the 15 of their papers we have counts for

collaborators

17 papers

math.PR2026

Models for species evolution with random deaths

Peter Braunsteins, Joseph Rolfe

We consider three discrete-time models for species evolution. In all three models, at each time step , with probability , a species is born with an independent $\text{Uniform…

math.PR2026

Estimating Graph Dynamics from Population Observations

Peter Braunsteins, Michel Mandjes, Florian Montalescot

In this paper we consider a population process evolving on a dynamic random graph. The dynamic random graph is an Erdős--Rényi graph that is resampled every time unit, independentl…

math.PR2026

Infection models on dense dynamic random graphs

Simone Baldassarri, Peter Braunsteins, Frank den Hollander +1

We consider Susceptible-Infected-Recovered (SIR) models on dense dynamic random graphs, in which the joint dynamics of vertices and edges are co-evolutionary, i.e., they influence…

stat.ME2025

Intrinsic Whittle--Matérn fields and sparse spatial extremes

David Bolin, Peter Braunsteins, Sebastian Engelke +1

Intrinsic Gaussian fields are used in many areas of statistics as models for spatial or spatio-temporal dependence, or as priors for latent variables. However, there are two major…

math.PR2025

Existence and non-existence of consistent estimators in supercritical controlled branching processes

Peter Braunsteins, Sophie Hautphenne, James Kerlidis

We consider the problem of estimating the parameters of a supercritical controlled branching process consistently from a single observed trajectory of population size counts. Our g…

math.PR2024

Opinion dynamics on dense dynamic random graphs

Simone Baldassarri, Peter Braunsteins, Frank den Hollander +1

We consider two-opinion voter models on dense dynamic random graphs. Our goal is to understand and describe the occurrence of consensus versus polarisation over long periods of tim…