AbstractThe natural Markov structure for population growth is that of genetics: newborns inherit types from their mothers, and given those they are independent of the history of their earlier ancestry. This leads to Markov fields on the space of sets of individuals, partially ordered by descent. The structure of such fields is investigated.It is proved that this Markov property implies branching, i.e. the conditional independence of disjoint daughter populations. The process also has the strong Markov property at certain optional sets of individuals. An intrinsic martingale (indexed by sets of individuals) is exhibited, that catches the stochastic element of population development. The deterministic part is analyzed by Markov renewal method...
Branching processes are stochastic processes describing the evolution of populations of individuals ...
Abstract We consider a branching model in discrete time for structured population in varying environ...
This paper studies: (i) the long-time behaviour of the empirical distribution of age and normalized ...
AbstractThe natural Markov structure for population growth is that of genetics: newborns inherit typ...
The natural Markov structure for population growth is that of genetics: newborns inherit types from ...
We consider a branching model in discrete time for structured population in varying environment. Eac...
AbstractSupercritical branching processes are considered which are Markovian in the age structure bu...
AbstractThis paper deals with homogeneous critical branching populations, where the correlations bet...
We consider a population with non-overlapping generations, whose size goes to infinity. It is descri...
International audienceWe are interested in the dynamic of a structured branching population where th...
In a recent paper [7] a coupling method was used to show that if population size, or more generally ...
AbstractThis paper considers a Markov branching process modified to allow decrements which occur ran...
41 pages, 2 figuresInternational audienceWe study the evolution of a particle system whose genealogy...
The continuous-time Markovian Multitype Branching Process (ctMMTBP) (Athreya-1971; Harris-1963) are ...
The simple Galton-Watson process describes populations where individuals live one season and are the...
Branching processes are stochastic processes describing the evolution of populations of individuals ...
Abstract We consider a branching model in discrete time for structured population in varying environ...
This paper studies: (i) the long-time behaviour of the empirical distribution of age and normalized ...
AbstractThe natural Markov structure for population growth is that of genetics: newborns inherit typ...
The natural Markov structure for population growth is that of genetics: newborns inherit types from ...
We consider a branching model in discrete time for structured population in varying environment. Eac...
AbstractSupercritical branching processes are considered which are Markovian in the age structure bu...
AbstractThis paper deals with homogeneous critical branching populations, where the correlations bet...
We consider a population with non-overlapping generations, whose size goes to infinity. It is descri...
International audienceWe are interested in the dynamic of a structured branching population where th...
In a recent paper [7] a coupling method was used to show that if population size, or more generally ...
AbstractThis paper considers a Markov branching process modified to allow decrements which occur ran...
41 pages, 2 figuresInternational audienceWe study the evolution of a particle system whose genealogy...
The continuous-time Markovian Multitype Branching Process (ctMMTBP) (Athreya-1971; Harris-1963) are ...
The simple Galton-Watson process describes populations where individuals live one season and are the...
Branching processes are stochastic processes describing the evolution of populations of individuals ...
Abstract We consider a branching model in discrete time for structured population in varying environ...
This paper studies: (i) the long-time behaviour of the empirical distribution of age and normalized ...