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arXiv:0905.0367 [math.PR]AbstractReferencesReviewsResources

A q-analogue of de Finetti's theorem

Alexander Gnedin, Grigori Olshanski

Published 2009-05-04Version 1

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.

Comments: LaTeX, 15 pages
Journal: Electronic Journal of Combinatorics 16 (2009), no. 1, paper #R78
Categories: math.PR, math.CO
Subjects: 60G09, 60J50, 60C05
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