Markov chains in Banach spaces on cycles

被引：2

作者：

Kalpazidou, S ^{[1
]}

Kassimatis, N

机构：

[1] Aristotelian Univ Salonika, Dept Math, GR-54006 Salonika, Greece

[2] Univ Patras, Dept Math, GR-26110 Patras, Greece

来源：

CIRCUITS SYSTEMS AND SIGNAL PROCESSING | 1998年 / 17卷 / 05期

关键词：

Fourier; Markov Chain; Fourier Series; Directed Cycle; Countable Infinity;

D O I：

10.1007/BF01203109

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

The problem of defining denumerable Markov chains by a countable infinity of weighted directed cycles is solved by using suitable Banach spaces l(p) on cycles and edges. Furthermore, it is showed that the transition probabilities of such chains may be described by Fourier series on orthonormal collections of homologic ingredients.

引用

页码：637 / 652

页数：16