The Limit of the Empirical Measure of the Product of Two Independent Mallows Permutations
| Autor: | Jin, Ke |
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| Rok vydání: | 2017 |
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| Druh dokumentu: | Working Paper |
| Popis: | The Mallows measure is a probability measure on $S_n$ where the probability of a permutation $\pi$ is proportional to $q^{l(\pi)}$ with $q > 0$ being a parameter and $l(\pi)$ the number of inversions in $\pi$. We show the convergence of the random empirical measure of the product of two independent permutations drawn from the Mallows measure, when $q$ is a function of $n$ and $n(1-q)$ has limit in $\mathbb{R}$ as $n \to \infty$. Comment: This article was previously a part of arXiv:1611.03840v1, which was subsequently split into this and what became arXiv:1611.03840v2 UPDATE: Version 2 of this article is uploaded by mistake, which is another article |
| Databáze: | arXiv |
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