The Mallows Measures on the Hyperoctahedral Group

@article{Korotkikh2017TheMM,
  title={The Mallows Measures on the Hyperoctahedral Group},
  author={Sergei Korotkikh},
  journal={Journal of Mathematical Sciences},
  year={2017},
  volume={224},
  pages={269-277}
}
  • S. Korotkikh
  • Published 27 May 2017
  • Mathematics
  • Journal of Mathematical Sciences
The Mallows measures on the symmetric group Sn form a deformation of the uniform distribution. These measures are commonly used in mathematical statistics, and in recent years they found applications in other areas of mathematics as well.As shown by Gnedin and Olshanski, there exists an analog of the Mallows measures on the infinite symmetric group. These new measures are diffuse, and they are quasi-invariant with respect to the two-sided action of a countable dense subgroup.The purpose of the… 
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References

SHOWING 1-3 OF 3 REFERENCES

q-exchangeability via quasi-invariance

For positive q is not 1, the q-exchangeability of an infinite random word is introduced as quasi-invariance under permutations of letters, with a special cocycle which accounts for inversions in the