Limit theorems for Markov processes indexed by continuous time Galton-Watson trees
type: Item
instance of: scholarly article
title: Limit theorems for Markov processes indexed by continuous time Galton-Watson trees
zbMATH Open document ID: 1235.60114
DOI: 10.1214/10-AAP757
author: Vincent Bansaye
author: Jean-François Delmas
author: Laurence Marsalle
author: Viet Chi Tran
published in: The Annals of Applied Probability
publication date: 2012-01-10T00:00:00Z
full work available at URL: https://arxiv.org/abs/0911.1973
Mathematics Subject Classification ID: 60J80
Mathematics Subject Classification ID: 60F05
Mathematics Subject Classification ID: 60F15
Mathematics Subject Classification ID: 60F17
zbMATH DE Number: 5996112
zbMATH Keywords: branching Markov process
zbMATH Keywords: branching diffusion
zbMATH Keywords: limit theorems
zbMATH Keywords: many-to-one formula
zbMATH Keywords: size biased reproduction distribution
zbMATH Keywords: size biased reproduction rate
zbMATH Keywords: ancestral lineage
zbMATH Keywords: splitted diffusion
MaRDI profile type: Publication
arXiv ID: 0911.1973
cites work: Q4073917
cites work: Strong limit theorems for general supercritical branching processes with applications to branching diffusions
cites work: Q3664178
cites work: Some limit theorems for positive recurrent branching Markov chains: I
cites work: Q5674726
cites work: Proliferating parasites in dividing cells: Kimmel's branching model revisited
cites work: Branching Feller diffusion for cell division with parasite infection
cites work: Markov chains indexed by trees
cites work: Asymptotic analysis for bifurcating autoregressive processes via a martingale approach
cites work: Homogeneous fragmentation processes
cites work: Random Fragmentation and Coagulation Processes
cites work: The first- and last-birth problems for a multitype age-dependent branching process
cites work: Q3886624
cites work: Growing conditioned trees
cites work: Q3142396
cites work: Nonlocal branching superprocesses and some related models
cites work: Detection of cellular aging in a Galton-Watson process
cites work: Q4789939
cites work: An Introduction to Branching Measure-Valued Processes
cites work: A scaling limit theorem for a class of superdiffusions
cites work: Law of large numbers for a class of superdiffusions
cites work: Q3721531
cites work: Damage segregation at fissioning may increase growth rates: a superprocess model
cites work: Q5624436
cites work: Stochastic and deterministic models for age-structured populations with genetically variable traits
cites work: A microscopic probabilistic description of a locally regulated population and macroscopic approximations
cites work: Elementary new proofs of classical limit theorems for Galton–Watson processes
cites work: Poisson point process limits in size-biased Galton-Watson trees
cites work: The shape of large Galton-Watson trees with possibly infinite variance
cites work: Supercritical multitype branching processes: the ancestral types of typical individuals
cites work: Persistence of critical multitype particle and measure branching processes
cites work: Limit theorems for bifurcating Markov chains. Application to the detection of cellular aging
cites work: A Spine Approach to Branching Diffusions with Applications to L p -Convergence of Martingales
cites work: Branching Brownian Motion: Almost Sure Growth Along Scaled Paths
cites work: Q5727090
cites work: Q3992729
cites work: Q4778955
cites work: Weak convergence of sequences of semimartingales with applications to multitype branching processes
cites work: Stability of Critical Cluster Fields
cites work: The contour of splitting trees is a Lévy process
cites work: Q4040349
cites work: Conceptual proofs of \(L\log L\) criteria for mean behavior of branching processes
cites work: Convergence of the fluctuations for interacting diffusions with jumps associated with boltzmann equations
cites work: Convergence faible et principe d'invariance pour des martingales à valeurs dans des espaces de Sobolev
cites work: Stability of Markovian processes II: continuous-time processes and sampled chains
cites work: Stability of Markovian processes III: Foster–Lyapunov criteria for continuous-time processes
cites work: The stable doubly infinite pedigree process of supercritical branching populations
cites work: Markov Chains
cites work: Size-biased branching population measures and the multi-type \(x \log x\) condition
cites work: Construction et Propriétés de Martingales des Branchements Spatiaux Interactifs
cites work: Q4762991
cites work: Distribution of the branching-process population among generations
cites work: Multidimensional diffusion processes.

Limit theorems for Markov processes indexed by continuous time Galton-Watson trees (OpenAlex ID)
OpenAlex ID: W3104370903