Title
Markov chains on orthogonal block structures
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.
Year
DOI
Venue
2010
10.1016/j.ejc.2009.02.003
Eur. J. Comb.
Keywords
Field
DocType
poset block structure,orthogonal block structure,spherical function,particular case,gelfand pair,generalized wreath product,combinatorial structure,permutation groups act,particular markov chain,wreath product,permutation group,markov chain
Discrete mathematics,Combinatorics,Automorphism,Markov chain,Permutation group,Wreath product,Partially ordered set,Mathematics
Journal
Volume
Issue
ISSN
31
1
0195-6698
Citations 
PageRank 
References 
5
1.30
0
Authors
2
Name
Order
Citations
PageRank
Daniele D'Angeli1297.01
Alfredo Donno2278.03