Geodesic
A \(q\)-analogue of de Finetti's theorem
The electronic journal of combinatorics, Tome 16 (2009) no. 1
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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 ${\Bbb F}_q$ that are invariant under the natural action of the infinite group of invertible matrices with coefficients from ${\Bbb F}_q$.
DOI : 10.37236/167
Classification : 60G09, 60J50, 60C05, 05C80 
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     author = {Alexander Gnedin and Grigori Olshanski},
     title = {A \(q\)-analogue of de {Finetti's} theorem},
     journal = {The electronic journal of combinatorics},
     year = {2009},
     volume = {16},
     number = {1},
     doi = {10.37236/167},
     zbl = {1200.60029},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/167/}
}
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Alexander Gnedin; Grigori Olshanski. A \(q\)-analogue of de Finetti's theorem. The electronic journal of combinatorics, Tome 16 (2009) no. 1. doi: 10.37236/167

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