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

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

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.

Keywords

  • Spatial Organisation
  • Fitness Level
  • Droplet Formation
  • Basic Scenario
  • Martingale Problem

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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)

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  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)

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

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© 2014 Springer International Publishing Switzerland

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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

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