Spectral partitions on infinite graphs

Details Spectral partitions on infinite graphs Spectral partitions on infinite graphs

2000-04-12

arxiv.org/abs/cond-mat/0004191v1

Physics

Condensed Matter

Statistical Mechanics

8 pages, to appear on Journal of Physics A

Scientific paper

Statistical models on infinite graphs may exhibit inhomogeneous thermodynamic
behaviour at macroscopic scales. This phenomenon is of 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.

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