CONSTRUCTION OF A NEW CLASS OF QUANTUM MARKOV FIELDS

被引：12

作者：

Accardi, Luigi ^{[1
,3
]}

Mukhamedov, Farrukh ^{[2
,4
]}

Souissi, Abdessatar ^{[3
,4
]}

机构：

[1] Univ Roma Tor Vergata, Ctr Vito Volterra, I-00133 Rome, Italy

[2] United Arab Emirates Univ, Dept Math Sci, Coll Sci, POB 15551, Abu Dhabi, U Arab Emirates

[3] Univ Tunis El Manar, Dept Math, Fac Sci Tunis, Tunis 1060, Tunisia

[4] Carthage Univ, Preparatory Inst Sci & Tech Studies, Tunis, Tunisia

来源：

ADVANCES IN OPERATOR THEORY | 2016年 / 1卷 / 02期

关键词：

Quantum Markov field; graph; tessellation; construction;

D O I：

10.22034/aot.1610.1031

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper, we propose a new construction of quantum Markov fields on arbitrary connected, infinite, locally finite graphs. The construction is based on a specific tessellation on the considered graph, that allows us to express the Markov property for the local structure of the graph. Our main result concerns the existence and uniqueness of quantum Markov field over such graphs.

引用

页码：206 / 218

页数：13

共 13 条

[1] Quantum Markov fields [J].