Markov chains on orthogonal block structures

详细信息    查看全文

• 作者：Daniele D’ ; Angeli ; Alfredo Donno
• 刊名：European Journal of Combinatorics
• 出版年：2010
• 出版时间：January 2010
• 年：2010
• 卷：31
• 期：1
• 页码：34-46
• 全文大小：668 K

文摘

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.