Stochastic individual-based models with power law mutation rate on a general finite trait space

@article{Coquille2021StochasticIM,
  title={Stochastic individual-based models with power law mutation rate on a general finite trait space},
  author={Loren Coquille and Ann Kraut and Charline Smadi},
  journal={Electronic Journal of Probability},
  year={2021}
}
We consider a stochastic individual-based model for the evolution of a haploid, asexually reproducing population. The space of possible traits is given by the vertices of a (possibly directed) finite graph $G=(V,E)$. The evolution of the population is driven by births, deaths, competition, and mutations along the edges of $G$. We are interested in the large population limit under a mutation rate $\mu_K$ given by a negative power of the carrying capacity $K$ of the system: $\mu_K=K^{-1/\alpha… 

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