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• W2734519587 abstract "We investigate a family of urn models that correspond to one-dimensional random walks with quadratic transition probabilities that have highly diverse applications. Well-known instances of these two-urn models are the Ehrenfest model of molecular diffusion, the voter model of social influence, and the Moran model of population genetics. We also provide a generating function method for diagonalizing the corresponding transition matrix that is valid if and only if the underlying mean density satisfies a linear differential equation and express the eigenvector components as terms of ordinary hypergeometric functions. The nature of the models lead to a natural extension to interaction between agents in a general network topology. We analyze the dynamics on uncorrelated heterogeneous degree sequence networks and relate the convergence times to the moments of the degree sequences for various pairwise interaction mechanisms." @default.
• W2734519587 created "2017-07-21" @default.
• W2734519587 creator A5077796426 @default.
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• W2734519587 date "2017-07-10" @default.
• W2734519587 modified "2023-10-16" @default.
• W2734519587 title "Solution to urn models of pairwise interaction with application to social, physical, and biological sciences" @default.
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• W2734519587 doi "https://doi.org/10.1103/physreve.96.012311" @default.
• W2734519587 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/29347166" @default.
• W2734519587 hasPublicationYear "2017" @default.
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