Generalized Galois numbers, inversions, lattice paths, Ferrers diagrams and limit theorems

Details Generalized Galois numbers, inversions, lattice paths, Ferrers diagrams and limit theorems Generalized Galois numbers, inversions, lattice paths, Ferrers diagrams and limit theorems

2012-03-29

arxiv.org/abs/1203.6480v1

Mathematics

Combinatorics

16 pages

Scientific paper

Bliem and Kousidis (arXiv:1109.4624) 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.

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