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Scientific article
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Markov chains on orthogonal block structures

Published inEuropean journal of combinatorics, vol. 31, no. 1, p. 34-46
Publication date2010
Abstract

In this paper we define a particular Markov chain on some combinatorial structures called orthogonal block structures. These structures include, as a particular case, the poset block structures, which can be naturally regarded as the set on which the generalized wreath product of permutation groups acts as the group of automorphisms. In this case, we study the associated Gelfand pairs together with the spherical functions.

Citation (ISO format)
D’ANGELI, Daniele, DONNO, Alfredo. Markov chains on orthogonal block structures. In: European journal of combinatorics, 2010, vol. 31, n° 1, p. 34–46. doi: 10.1016/j.ejc.2009.02.003
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ISSN of the journal0195-6698
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