Geodesic
Random decompositions of Eulerian statistics
Alperen Özdemir1
1Georgia Institute of Technology
The electronic journal of combinatorics, Tome 29 (2022) no. 4

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Zbl DOI arXiv
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 $\mathcal{O} (n^{-1/2})$ and $\mathcal{O}(n^{-1/3})$ respectively.
DOI : 10.37236/11231
Classification : 60C05, 60F05, 11B37
Mots-clés : Eulerian statistics

Alperen Özdemir  1

1 Georgia Institute of Technology 
Alperen Özdemir. Random decompositions of Eulerian statistics. The electronic journal of combinatorics, Tome 29 (2022) no. 4. doi: 10.37236/11231
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     title = {Random decompositions of {Eulerian} statistics},
     journal = {The electronic journal of combinatorics},
     year = {2022},
     volume = {29},
     number = {4},
     doi = {10.37236/11231},
     zbl = {1522.60019},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/11231/}
}
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