Boundary Behaviors for a Continuous-state Nonlinear Neveu’s Branching Process

By generalizing a criterion of Mufa Chen for Markov jump processes, we establish the necessary and sufficient conditions for the extinction, explosion and coming down from infinity of a continuous-state nonlinear Neveu’s branching process.

Saved in:
Bibliographic Details
Published inActa mathematica Sinica. English series Vol. 40; no. 8; pp. 2005 - 2016
Main Authors Bai, Lin Yu, Yang, Xu
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2024
Springer Nature B.V
Subjects
Branching (mathematics)
Explosions
Extinction
Markov processes
Mathematical analysis
Mathematics
Mathematics and Statistics
60G57
explosion
extinction
60J80
Neveu’s branching
coming down from infinity
Continuous-state branching process
nonlinear branching
60G17
Online AccessGet full text

Cover

More Information
Summary:By generalizing a criterion of Mufa Chen for Markov jump processes, we establish the necessary and sufficient conditions for the extinction, explosion and coming down from infinity of a continuous-state nonlinear Neveu’s branching process.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-024-2741-x