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Random decompositions of Eulerian statistics - MaRDI portal

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Random decompositions of Eulerian statistics

From MaRDI portal
Publication:6362750

DOI10.37236/11231arXiv2103.07498MaRDI QIDQ6362750

Author name not available (Why is that?)

Publication date: 12 March 2021

Abstract: This paper develops methods to study the distribution of Eulerian statistics defined by second-order recurrence relations. We define a random process to decompose the statistics over compositions of integers. It is shown that the numbers of descents in random involutions and in random derangements are asymptotically normal with rates of convergence mathcalO(n−1/2) and mathcalO(n−1/3) respectively.





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