Some geometric probability problems involving the Eulerian numbers
The electronic journal of combinatorics, The Wilf Festschrift volume, Tome 4 (1997) no. 2
We present several problems involving geometric probability. Each is related to the division of a simplex or cube by a family of hyperplanes. Both the classical Eulerian numbers and their analogue for the hyperoctahedral group arise in the solutions.
DOI :
10.37236/1333
Classification :
52A22, 60D05, 52B11, 05A15
Mots-clés : geometric probability, simplex, hyperplanes, Eulerian numbers
Mots-clés : geometric probability, simplex, hyperplanes, Eulerian numbers
@article{10_37236_1333,
author = {Frank Schmidt and Rodica Simion},
title = {Some geometric probability problems involving the {Eulerian} numbers},
journal = {The electronic journal of combinatorics},
year = {1997},
volume = {4},
number = {2},
doi = {10.37236/1333},
zbl = {0890.52005},
url = {http://geodesic.mathdoc.fr/articles/10.37236/1333/}
}
Frank Schmidt; Rodica Simion. Some geometric probability problems involving the Eulerian numbers. The electronic journal of combinatorics, The Wilf Festschrift volume, Tome 4 (1997) no. 2. doi: 10.37236/1333
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