Stability and Instability of Steady States for a Branching Random Walk-Reference-Cited by-同舟云学术

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Stability and Instability of Steady States for a Branching Random Walk

Published:2020-05-04 Issue:1 Volume:23 Page:207-218
ISSN:1387-5841
Container-title:Methodology and Computing in Applied Probability
language:en
Short-container-title:Methodol Comput Appl Probab

Author:

Feng Yaqin,Molchanov Stanislav,Yarovaya Elena^ORCID

Funder

Russian Foundation for Fundamental Investigations

Russian Science Foundation

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics,Statistics and Probability

Link

https://link.springer.com/content/pdf/10.1007/s11009-020-09791-0.pdf

Reference16 articles.

1. Albeverio S, Bogachev LV, Yarovaya E (1998) Asymptotics of branching symmetric random walk on the lattice with a single source. C R Acad Sci Paris, Sér. 1: Math 326(8):975–980

2. Bogachev LV, Yarovaya E (1998a) A limit theorem for a supercritical branching random walk on $\mathbb {Z}^{d}$ with a single source. Uspehi Matematicheskih Nauk 53:229–230

3. Bogachev LV, Yarovaya E (1998b) Moment analysis of a branching random walk on a lattice with a single source. Dokl Akad Nauk 363:439–442

4. Feng Y, Molchanov S, Whitmeyer J (2012) Random walks with heavy tails and limit theorems for branching processes with migration and immigration. Stochastic and Dynamics 12:1–23

5. Kondratiev Y, Kutoviy O, Pirogov S (2008) Correlation functions and invariant measures in continuous contact model. Infin Dimens Anal Quantum Probab Relat Top 11(2):231–258

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