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Mean-Field Emergence and Fixation of Rare Mutants: Concepts, Strategy and a Caricature Model

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

Abstract

This Section 7 sets the stage for the proofs of our main theorems formulated in Subsection 4.5 and Subsection 4.6. In the Sections 8, 9, 12 and 13 we shall prove the basic facts stated in the framework of Section 7 needed to derive Theorem 6 to Theorem 9.

Keywords

  • Fitness Level
  • Type Space
  • Basic Scenario
  • Finite System
  • Large Time Scale

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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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© 2014 Springer International Publishing Switzerland

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Dawson, D.A., Greven, A. (2014). Mean-Field Emergence and Fixation of Rare Mutants: Concepts, Strategy and a Caricature Model. 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_7

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