Branching Processes with Infinitely Many Types

Marek Kimmel, David E. Axelrod

Research output: Chapter in Book/Report/Conference proceedingChapter

4 Scopus citations

Abstract

In this chapter, we consider a number of examples of branching processes with infinite type spaces. No systematic theory can be presented. However, in Sect. 7.1 we review various approaches generalizing the denumerable case. Also, general processes (Sect. C.1) include the denumerable type space as a special case. We will base considerations on an analogy with the finite mutitype case whenever possible. However, the stress is on interesting and diverse properties, which are different from the finite multitype setup and on biologically motivated examples.

Original languageEnglish (US)
Title of host publicationInterdisciplinary Applied Mathematics
PublisherSpringer Nature
Pages155-205
Number of pages51
DOIs
StatePublished - 2015

Publication series

NameInterdisciplinary Applied Mathematics
Volume19
ISSN (Print)0939-6047
ISSN (Electronic)2196-9973

All Science Journal Classification (ASJC) codes

  • Applied Mathematics
  • Computational Mathematics
  • Computational Theory and Mathematics
  • Management Science and Operations Research

Keywords

  • Cell Cycle Time
  • Progeny Cell
  • Telomere Length
  • Telomere Loss
  • Unequal Division

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