Geodesic
Generalized Galois numbers, inversions, lattice paths, ferrers diagrams and limit theorems
Svante Janson1
1Uppsala University
The electronic journal of combinatorics, Tome 19 (2012) no. 3

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Zbl arXiv
Bliem and Kousidis recently considered a family of random variables whose distributions are given by the generalized Galois numbers (after normalization). We give probabilistic interpretations of these random variables, using inversions in random words, random lattice paths and random Ferrers diagrams, and use these to give new proofs of limit theorems as well as some further limit results.
DOI : 10.37236/2188
Classification : 05A16, 05A15, 60C05, 60F05, 11B75
Mots-clés : generalized Galois numbers, inversions, Ferrers diagrams, asymptotic normality

Svante Janson  1

1 Uppsala University 
Svante Janson. Generalized Galois numbers, inversions, lattice paths, ferrers diagrams and limit theorems. The electronic journal of combinatorics, Tome 19 (2012) no. 3. doi: 10.37236/2188
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     title = {Generalized {Galois} numbers, inversions, lattice paths, ferrers diagrams and limit theorems},
     journal = {The electronic journal of combinatorics},
     year = {2012},
     volume = {19},
     number = {3},
     doi = {10.37236/2188},
     zbl = {1253.05024},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/2188/}
}
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