Spectral partitions on infinite graphs

被引：5

作者：

Burioni, R

Cassi, D

Destri, C

机构：

[1] Univ Parma, Dipartimento Fis, I-43100 Parma, Italy

[2] Ist Nazl Fis Mat, I-43100 Parma, Italy

[3] Ist Nazl Fis Nucl, Sez Milano, I-20133 Milan, Italy

[4] Dipartimento Fis G Occhialini, I-20133 Milan, Italy

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2000年 / 33卷 / 19期

关键词：

D O I：

10.1088/0305-4470/33/19/301

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Statistical models on infinite graphs may exhibit inhomogeneous thermodynamic behaviour at macroscopic scales. This phenomenon is of a geometrical origin and may be properly described in terms of spectral partitions into subgraphs with well defined spectral dimensions and spectral weights. These subgraphs are shown to be thermodynamically homogeneous and effectively decoupled.

引用

页码：3627 / 3636

页数：10

共 8 条

[1]

Alexander S., 1982, J PHYS PARIS LETT, V43, P625

[2]

[Anonymous], 2001, GRAPH THEORY

[3] Transience on the average and spontaneous symmetry breaking on graphs [J].