From the 1 of 7 linked papers with an AI index.
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Models for species evolution with random deaths
Peter Braunsteins, Joseph Rolfe
The paper analyzes three discrete-time stochastic models of species evolution where births and deaths occur with given probabilities, focusing on how different rules for selecting…
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 ErdÅs--Rényi graph that is resampled every time unit, independen…
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…
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…
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…