Geodesic
The distribution of m-ary search trees generated by van der Corput sequences
Discrete mathematics & theoretical computer science, Tome 6 (2003-2004) no. 2.

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We study the structure of $m$-ary search trees generated by the van der Corput sequences. The height of the tree is calculated and a generating function approach shows that the distribution of the depths of the nodes is asymptotically normal. Additionally a local limit theorem is derived. 
@article{DMTCS_2004_6_2_a9,
     author = {Steiner, Wolfgang},
     title = {The distribution of m-ary search trees generated by van der {Corput} sequences},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {6},
     number = {2},
     year = {2003-2004},
     doi = {10.46298/dmtcs.318},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.318/}
}
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Steiner, Wolfgang. The distribution of m-ary search trees generated by van der Corput sequences. Discrete mathematics & theoretical computer science, Tome 6 (2003-2004) no. 2. doi : 10.46298/dmtcs.318. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.318/

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