Constructs the space 𝔖_G of virtual G-permutations, characterizes its central measures, and decomposes the generalized regular representations T_{z1,...,zk} of the big wreath product G_∞ into irreducibles.
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Derives the refined Ewens sampling formula giving the joint distribution of a random matrix of allele counts under a multi-class mutation-rate model, together with Poisson approximations and limit theorems.
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Generalized regular representations of big wreath products
Constructs the space 𝔖_G of virtual G-permutations, characterizes its central measures, and decomposes the generalized regular representations T_{z1,...,zk} of the big wreath product G_∞ into irreducibles.
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A refinement of the Ewens sampling formula
Derives the refined Ewens sampling formula giving the joint distribution of a random matrix of allele counts under a multi-class mutation-rate model, together with Poisson approximations and limit theorems.