… of the Bernoulli process and a q-analogue of Pólya’s urn process. Finally, in Section 5, for
qa power of a prime number, we provide an interpretation of the theorem in terms of random …

… This framework allows us to extend the q-analog of de Finetti’s theorem for binary
sequences—see … case is straightforward in the light of de Finetti’s theorem: we simply randomize …

… By a q-analogue of the de Finetti's theorem proven in [GO09], extreme q-exchangeable
random walks (that is, extreme points of this simplex) are parametrized by $\Delta: = \left\{0,1,2,\…

… Finally, our results can be viewed as a classification theorem … to q-analogues of De Finetti’s
theorem. (See also earlier … the present paper we study a q-analogue of these measures. The …

… The authors define a q-analogue of the Pólya urn process: … the q-Hahn distribution as a
q-analogue of the Beta-Binomial … m goes to infinity to a q analogue of the Beta distribution, which …

… 6, we prove a q-analogue of Main Result I that involves the nontrivial notion of q-… the
connection to BC-type Dunkl theory. But now that this q-analogue is proved, a natural question arises…

… Theorem 3.4) similar to the one studied earlier for the continuous time |$q$|-PushTASEP [21]
and generalizes the contour integral formulas from that setting, too (see Theorem … Theorem …

… recall the basics of the theory of Markov processes and Bochner … A theorem due to de Finetti,
Lévy, and Khintchine (see Bertoin [3]… We summarize these results in the following theorem. …

… of the representation theory of symmetric groups in analysis), we discuss a q-analogue of the
… graphs is provided by de Finetti's classical theorem on random sequences invariant under …

… For the multi-species q-TAZRP, we use a decomposition theorem for elements of double
cosets of parabolic subgroups in a Coxeter group. The set of distinguished double coset rep…