Generalized Galois Numbers, Inversions, Lattice Paths, Ferrers Diagrams and Limit Theorems

  • Svante Janson Uppsala University
Keywords: generalized Galois numbers, inversions, Ferrers diagrams, asymptotic normality

Abstract

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.

Author Biography

Svante Janson, Uppsala University
D
Published
2012-09-13
Article Number
P34