A q-analogue of de Finetti's theorem

Details A q-analogue of de Finetti's theorem A q-analogue of de Finetti's theorem

2009-05-04

arxiv.org/abs/0905.0367v1

Mathematics

Probability

LaTeX, 15 pages

Scientific paper

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.

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