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Long-Time Behaviour: Ergodicity and Non-ergodicity

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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

In this section we want to illustrate the application of the duality described in Section 5 in some simpler situations. Here we use the refined dual representation to identify some effects concerning the long-time behaviour of X N or the McKean–Vlasov process Z in a number of special cases for the parameters of the model.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Carleton University, Ottawa, Ontario, Canada

    Donald A. Dawson

  2. Department Mathematik, Universität Erlangen-Nürnberg Mathematisches Institut, Erlangen, Germany

    Andreas Greven

Authors
  1. Donald A. Dawson
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  2. Andreas Greven
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Dawson, D.A., Greven, A. (2014). Long-Time Behaviour: Ergodicity and Non-ergodicity. 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_6

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