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- W2376694037 abstract "The family of Poisson-Dirichlet distributions is a collection of two-parameter probability distributions $${PD(alpha,theta ): 0 leq alpha < 1,alpha +theta > 0}$$ defined on the infinite-dimensional simplex. The parameters α and θ correspond to the stable and gamma component respectively. The distribution PD(α, 0) arises in the thermodynamic limit of the Gibbs measure of Derrida’s Random Energy Model (REM) in the low temperature regime. In this setting α can be written as the ratio between the temperature T and a critical temperature T c . In this paper, we study the asymptotic behaviour of PD(α, θ) as α converges to one or equivalently when the temperature approaches the critical value T c ." @default.
- W2376694037 created "2016-06-24" @default.
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- W2376694037 date "2015-01-01" @default.
- W2376694037 modified "2023-10-03" @default.
- W2376694037 title "Asymptotic Behaviour of Poisson-Dirichlet Distribution and Random Energy Model" @default.
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- W2376694037 doi "https://doi.org/10.1007/978-3-319-13984-5_7" @default.
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