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

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Spatial Fleming-Viot Models with Selection and Mutation

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

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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.

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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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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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