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20092026
most citedLimit theorems for the number of occupied boxes in the Bernoulli sieve

24 citations · 99 across the 51 of their papers we have counts for

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Showing 2011Show all

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math.PR2011

A generalization of the Erdős-Turán law for the order of random permutation

Alexander Gnedin, Alexander Iksanov, Alexander Marynych

We consider random permutations derived by sampling from stick-breaking partitions of the unit interval. The cycle structure of such a permutation can be associated with the path o…

math.PR2011★ 2 cited

Lambda-coalescents with dust component

Alexander Gnedin, Alexander Iksanov, Alexander Marynych

We consider the lambda-coalescent processes with positive frequency of singleton clusters. The class in focus covers, for instance, the beta-coalescents with . We show…