Skip to main content

Iteration of the Cycle I: Emergence and Fixation on E 2

  • Chapter
  • First Online:
Spatial Fleming-Viot Models with Selection and Mutation

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2092))

  • 931 Accesses

Abstract

We have now completed the analysis of the transition from \(E_{0} \rightarrow E_{1}\) and the equilibration on level E 1 in its various phases 0–4. The question is now if we can iterate and continue now with the transition from E 1 to E 2 with now two or more spatial levels.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. D.A. Dawson, A. Greven, Hierarchically interacting Fleming-Viot processes with selection and mutation: Multiple space time scale analysis and quasi equilibria. Electron. J. Probab. 4, paper no. 4, 1–81 (1999)

    Google Scholar 

  2. D.A. Dawson, A. Greven, J. Vaillancourt, Equilibria and Quasi-equilibria for Infinite Collections of Interacting Fleming-Viot processes. Trans. Am. Math. Soc. 347(7), 2277–2360 (1995)

    MathSciNet  MATH  Google Scholar 

  3. P. Jagers, O. Nerman, The growth and composition of branching populations. Adv. Appl. Probab. 16, 221–259 (1984)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Dawson, D.A., Greven, A. (2014). Iteration of the Cycle I: Emergence and Fixation on E 2 . In: Spatial Fleming-Viot Models with Selection and Mutation. Lecture Notes in Mathematics, vol 2092. Springer, Cham. https://doi.org/10.1007/978-3-319-02153-9_13

Download citation

Publish with us

Policies and ethics