An Ultrametric State Space with a Dense Discrete Overlap Distribution: Paperfolding Sequences

被引：1

作者：

van Enter, Aernout C. D. ^{[1
]}

de Groote, Ellis ^{[1
]}

机构：

[1] Univ Groningen, Johann Bernoulli Inst, NL-9747 AG Groningen, Netherlands

来源：

JOURNAL OF STATISTICAL PHYSICS | 2011年 / 142卷 / 02期

关键词：

PURE STATES; SYMMETRY; SYSTEMS; DIFFRACTION; CRYSTALS;

D O I：

10.1007/s10955-010-0107-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We compute the Parisi overlap distribution for paperfolding sequences. It turns out to be discrete, and to live on the dyadic rationals. Hence it is a pure point measure whose support (as a closed set) is the full interval [-1,+1]. The space of paperfolding sequences has an ultrametric structure. Our example provides an illustration of some properties which were suggested to occur for pure states in spin glass models.

引用

页码：223 / 228

页数：6

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