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. (C) 2009 Elsevier Ltd. All rights reserved.
Markov chains on orthogonal block structures / Daniele, D'Angeli; Donno, Alfredo. - In: EUROPEAN JOURNAL OF COMBINATORICS. - ISSN 0195-6698. - 31:1(2010), pp. 34-46. [10.1016/j.ejc.2009.02.003]
Markov chains on orthogonal block structures
DONNO, Alfredo
2010
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. (C) 2009 Elsevier Ltd. All rights reserved.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
