A q-analogue of de Finetti's theorem
Probability
2013-03-04 v1 Combinatorics
Abstract
A q-analogue of de Finetti's theorem is obtained in terms of a boundary problem for the q-Pascal graph. For q a power of prime this leads to a characterisation of random spaces over the Galois field F_q that are invariant under the natural action of the infinite group of invertible matrices with coefficients from F_q.
Cite
@article{arxiv.0905.0367,
title = {A q-analogue of de Finetti's theorem},
author = {Alexander Gnedin and Grigori Olshanski},
journal= {arXiv preprint arXiv:0905.0367},
year = {2013}
}
Comments
LaTeX, 15 pages