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L'application des representations au calcul explicite sur certaines chaînes de Markov finies

Published online by Cambridge University Press:  01 July 2016

Bernard Ycart
Bernard Ycart*
Affiliation:
Université Paul Sabatier, Toulouse
*
∗Adresse postale: Laboratoire de Statistique et Probabilités, ERA-CNRS 591, Université Paul Sabatier, 31062 Toulouse Cedex, France.
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Abstract

We give here concrete formulas relating the transition generatrix functions of any random walk on a finite group to the irreducible representations of this group. Some examples of such explicit calculations for the permutation groups A4, S4, and A5 are included.

Keywords

RANDOM WALKS ON FINITE GROUPSGROUP REPRESENTATIONS
Type
Research Article
Information
Advances in Applied Probability , Volume 16 , Issue 3 , September 1984 , pp. 656 - 666
Copyright
Copyright © Applied Probability Trust 1984 

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References

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