Graphical representation of certain moment dualities and application to population models with balancing selection

@article{Jansen2012GraphicalRO,
  title={Graphical representation of certain moment dualities and application to population models with balancing selection},
  author={Sabine Jansen and Noemi Kurt},
  journal={Electronic Communications in Probability},
  year={2012},
  volume={18},
  pages={1-15}
}
  • S. Jansen, N. Kurt
  • Published 25 July 2012
  • Mathematics
  • Electronic Communications in Probability
We investigate dual mechanisms for interacting particle systems. Generalizing an approach of Alkemper and Hutzenthaler in the case of coalescing duals, we show that a simple linear transformation leads to a moment duality of suitably rescaled processes. More precisely, we show how dualities of interacting particle systems of the form $H(A,B)=q^{|A\cap B|}, A,B\subset\{0,1\}^N, q\in[-1,1),$ are rescaled to yield moment dualities of rescaled processes. We discuss in particular the case $q=-1… 

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