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• W2949492331 abstract "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 $H(A,B)=q^{|Acap B|}, A,Bsubset{0,1}^N, qin[-1,1),$ are rescaled to yield moment dualities of rescaled processes. We discuss in particular the case $q=-1,$ which explains why certain population models with balancing selection have an annihilating dual process. We also consider different values of $q,$ and answer a question by Alkemper and Hutzenthaler." @default.
• W2949492331 created "2019-06-27" @default.
• W2949492331 creator A5048487629 @default.
• W2949492331 creator A5065185168 @default.
• W2949492331 date "2012-07-25" @default.
• W2949492331 modified "2023-10-01" @default.
• W2949492331 title "Graphical representation of certain moment dualities and application to population models with balancing selection" @default.
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• W2949492331 hasPublicationYear "2012" @default.
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