RANDOM WALKS WITH HEAVY TAILS AND LIMIT THEOREMS FOR BRANCHING PROCESSES WITH MIGRATION AND IMMIGRATION-Reference-Cited by-同舟云学术

RANDOM WALKS WITH HEAVY TAILS AND LIMIT THEOREMS FOR BRANCHING PROCESSES WITH MIGRATION AND IMMIGRATION

Published:2012-03 Issue:01 Volume:12 Page:1150007
ISSN:0219-4937
Container-title:Stochastics and Dynamics
language:en
Short-container-title:Stoch. Dyn.

Author:

FENG YAQIN¹,MOLCHANOV STANISLAV¹,WHITMEYER JOSEPH¹

Affiliation:

1. Department of Mathematics and Statistics, University of North Carolina at Charlotte, Charlotte, NC 28223, USA

Abstract

The central result of this paper is the existence of limiting distributions for two classes of critical homogeneous-in-space branching processes with heavy tails spatial dynamics in dimension d = 2. In dimension d ≥ 3, the same results are true without any special assumptions on the underlying (non-degenerated) stochastic dynamics.

Publisher

World Scientific Pub Co Pte Lt

Subject

Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219493712003626

Reference11 articles.

1. Averaging principle for a class of stochastic reaction–diffusion equations

2. The Theory of Stochastic Processes I

3. The Theory of Branching Processes

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