Título: General branching processes conditioned on extinction are still branching processes
Autores: Jagers, Peter; Chalmers University of Technology and University of Gothenburg
Lagerås, Andreas Nordvall; Department of Mathematics, Stockholm University
Fecha: 2008-01-01
Publicador: Electronic communications in probability
Fuente:
Tipo: Peer-reviewed Article

Tema: supercritical; subcritical; extinction; multi-type branching process; general branching process; Crump-Mode-Jagers process
60J80
Descripción: It is well known that a simple, supercritical Bienaymé-Galton-Watson process turns into a subcritical such process, if conditioned to die out. We prove that the corresponding holds true for general, multi-type branching, where child-bearing may occur at different ages, life span may depend upon reproduction, and the whole course of events is thus affected by conditioning upon extinction.
Idioma: No aplica

Artículos similares:

Simulations and Conjectures for Disconnection Exponents por Puckette, Emily E.; Occidental College,Werner, Wendelin; Université Paris-Sud and IUF
A Proof of a Conjecture of Bobkov and Houdré por Kwapien, S.; Warsaw University,Pycia, M.; Warsaw University,Schachermayer, W.; University of Vienna
Excursions Into a New Duality Relation for Diffusion Processes por Jansons, Kalvis M.; University College London
Moderate Deviations for Martingales with Bounded Jumps por Dembo, Amir; Stanford University
Percolation Beyond $Z^d$, Many Questions And a Few Answers por Benjamini, Itai; Weizmann Institute of Science,Schramm, Oded; Microsoft Research
Bounds for Disconnection Exponents por Werner, Wendelin; Université Paris-Sud and IUF
Transportation Approach to Some Concentration Inequalities in Product Spaces por Dembo, Amir; Stanford University,Zeitouni, Ofer; Technion - Israel Institute of Technology
The Dimension of the Frontier of Planar Brownian Motion por Lawler, Gregory F.; Duke University
10 
Surface Stretching for Ornstein Uhlenbeck Velocity Fields por Carmona, Rene; Princeton University,Grishin, Stanislav; Princeton University,Xu, Lin; Princeton University,Molchanov, Stanislav; University of North Carolina at Charlotte