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Emergence with M ≥ 2 Lower Order Types (Phases 0,1,2)

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

Abstract

We now have a good understanding how emergence occurs in the Fleming–Viot model with two fitness levels with one type at each level and fitness difference 1 between the two types (Section 8). It remains to determine in this Section 9 and the next Section 10 respectively what is the effect of having

  • M ≥ 2 types on the lower level,

  • M ≥ 2 types on the upper level.

Both of these cases are going to exhibit some new phenomenon and challenges not present in the two-type model. What are the effects of having more than two types precisely?

Keywords

  • Mesoster
  • Meso State
  • Time Decoupling
  • McKean Vlasov
  • Ghost Copy

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Fig. 9.1

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Dawson, D.A., Greven, A. (2014). Emergence with M ≥ 2 Lower Order Types (Phases 0,1,2). 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_9

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