Spectral partitions on infinite graphs

Authors
Burioni, R Cassi, D Destri, C
Citation
R. Burioni et al., Spectral partitions on infinite graphs, J PHYS A, 33(19), 2000, pp. 3627-3636
Citations number
8
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
33
Issue
19
Year of publication
2000
Pages
3627 - 3636
Database
ISI
SICI code
0305-4470(20000519)33:19<3627:SPOIG>2.0.ZU;2-R
Abstract
Statistical models on infinite graphs may exhibit inhomogeneous thermodynam ic behaviour at macroscopic scales. This phenomenon is of a geometrical ori gin and may be properly described in terms of spectral partitions into subg raphs with well defined spectral dimensions and spectral weights. These sub graphs are shown to be thermodynamically homogeneous and effectively decoup led.