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- W2950476419 abstract "We show that a slight modification of a theorem of Ruzmaikina and Aizenman on competing particle systems on the real line leads to a characterization of Poisson-Dirichlet distributions $PD(a,0)$. Precisely, let $s$ be a proper random mass-partition i.e. a random sequence $(s_i, iinN)$ such that $s_1geq s_2geq ...$ and $sum_i s_i=1$ a.s. Consider ${W_i}_{iinN}$, an iid sequence of positive random variables with a density and such that $E[W^lambda]$ is finite for all $lambdainR$. It is shown that if the law of $s$ is invariant under a random multiplicative shift $s_i W_i$ of the atoms followed by a renormalization, then it must be a mixture of Poisson-Dirichlet distribution $PD(a,0)$, $ain (0,1)$." @default.
- W2950476419 created "2019-06-27" @default.
- W2950476419 creator A5046144341 @default.
- W2950476419 date "2007-03-25" @default.
- W2950476419 modified "2023-09-27" @default.
- W2950476419 title "A dynamical characterization of Poisson-Dirichlet distributions" @default.
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