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Neutral Evolution on E 1 After Fixation (Phase 3)

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

Abstract

Recall the five phases for the transition from E 0-types to E 1-types, namely 0,1,2,3,4, which we introduced in Subsubsection 7.1.1 for the mean-field model. So far we have discussed in Sections 8–10 the Phases 0, 1 and 2 and we now have to deal here in this section with the next Phase 3 (and in the next Section 12 with Phase 4). In Subsection 11.1 we describe the result, then in 11.2 give the proof.

Keywords

  • Dual Process
  • Neutral Evolution
  • Markov Jump Process
  • Fell Property
  • Finite Dimensional Distribution

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References

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Dawson, D.A., Greven, A. (2014). Neutral Evolution on E 1 After Fixation (Phase 3). 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_11

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