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- W4301481505 abstract "We define a finite Markov chain, called generalized crested product, which naturally appears as a generalization of the first crested product of Markov chains. A complete spectral analysis is developed and the $k$-step transition probability is given. It is important to remark that this Markov chain describes a more general version of the classical Ehrenfest diffusion model. As a particular case, one gets a generalization of the classical Insect Markov chain defined on the ultrametric space. Finally, an interpretation in terms of representation group theory is given, by showing the correspondence between the spectral decomposition of the generalized crested product and the Gelfand pairs associated with the generalized wreath product of permutation groups." @default.
- W4301481505 created "2022-10-05" @default.
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- W4301481505 date "2010-06-24" @default.
- W4301481505 modified "2023-10-18" @default.
- W4301481505 title "Generalized crested products of Markov chains" @default.
- W4301481505 doi "https://doi.org/10.48550/arxiv.1006.4872" @default.
- W4301481505 hasPublicationYear "2010" @default.
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