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Extinction and survival of branching processes in varying environment

Grant number: 17/17399-4
Support type:Scholarships in Brazil - Scientific Initiation
Effective date (Start): November 01, 2017
Effective date (End): October 31, 2018
Field of knowledge:Physical Sciences and Mathematics - Probability and Statistics
Principal Investigator:Pablo Martin Rodriguez
Grantee:Luna Wagner Cunha
Home Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
Associated research grant:13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry, AP.CEPID

Abstract

The branching process, or Galton-Watson process, is a stochastic process with applications in fields like Biology, Physics, Computer Sciences, and others. In this project we will study the basic properties of this theory, and we will review the existing results about branching process in varying environment. This will be accomplished by comparing the existing results regarding the extinction of survival of such processes, and by showing examples and counter-examples in order to compare them. Also, we will discuss some applications. (AU)