Work

Branching processes in random environment with immigration stopped at zero

Year: 2019

Type: preprint

Abstract: A critical branching process with immigration which evolve in a random environment is considered. Assuming that immigration is not allowed when there are no individuals in the aboriginal population we investigate the tail distribution of the so-called life period of the process, i.e., the length of the time interval between the moment when the process is initiated by a positive number of particles and the moment when there are no individuals in the population for the first time.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1905.03535

Authors: Dyakonova, Elena, Li, Doudou, Vatutin, Vladimir, Zhang, Mei

Institutions: Steklov Mathematical Institute, Beijing Normal University

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Natural Science Foundation of China

Award: 分枝马氏过程的若干研究

OpenAlex ID: W2943886299

Cites: 11

Cited by: 1

Related to: 10