Geodesic
Part-products of 1-free integer compositions
The electronic journal of combinatorics, Tome 18 (2011) no. 1
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If $\vec{\lambda}$ is a composition of the positive integer $n$, define ${\bf B}(\vec{\lambda})$ to be the product of the parts of $\vec{\lambda}$. We present a modified version of Hitczenko's stopped sequence construction that leads to a proof of the asymptotic lognormality of ${\bf B}$ for random 1-free compositions (compositions containing no parts of size 1).
DOI : 10.37236/722
Classification : 05A16, 60C05, 60F05, 60G40
Mots-clés : Hitczenko's stopped sequence construction 
@article{10_37236_722,
     author = {Caroline Shapcott},
     title = {Part-products of 1-free integer compositions},
     journal = {The electronic journal of combinatorics},
     year = {2011},
     volume = {18},
     number = {1},
     doi = {10.37236/722},
     zbl = {1243.05027},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/722/}
}
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Caroline Shapcott. Part-products of 1-free integer compositions. The electronic journal of combinatorics, Tome 18 (2011) no. 1. doi: 10.37236/722

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