硅酸盐型Sierpinski垫片上二聚体覆盖和生成树的统计

IF 1.3 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Journal of Statistical Physics Pub Date : 2025-01-20 DOI:10.1007/s10955-024-03392-8

Xingsheng Yang, Jingchao Lai, Weigen Yan

{"title":"硅酸盐型Sierpinski垫片上二聚体覆盖和生成树的统计","authors":"Xingsheng Yang, Jingchao Lai, Weigen Yan","doi":"10.1007/s10955-024-03392-8","DOIUrl":null,"url":null,"abstract":"<div>Chang and Chen (J Stat Phys 131(4):631–650, 2008) and Chang et al. (J Stat Phys 126(3):649–667, 2007) present the number of dimer coverings and spanning trees on the Sierpinski gasket \\(SG_b(n)\\) at stage n with the side length b equal to two, three and four, respectively. In this paper, we obtain the exact closed formula of the number of dimer coverings and spanning trees on the silicate-type Sierpinski gasket \\(SO_b(n)\\) at stage n with the side length \\(b=2,3,4\\).</div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"192 2","pages":""},"PeriodicalIF":1.3000,"publicationDate":"2025-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the Statistics of Dimer Coverings and Spanning Trees on the Silicate-Type Sierpinski Gasket\",\"authors\":\"Xingsheng Yang, Jingchao Lai, Weigen Yan\",\"doi\":\"10.1007/s10955-024-03392-8\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div>Chang and Chen (J Stat Phys 131(4):631–650, 2008) and Chang et al. (J Stat Phys 126(3):649–667, 2007) present the number of dimer coverings and spanning trees on the Sierpinski gasket \\\\(SG_b(n)\\\\) at stage n with the side length b equal to two, three and four, respectively. In this paper, we obtain the exact closed formula of the number of dimer coverings and spanning trees on the silicate-type Sierpinski gasket \\\\(SO_b(n)\\\\) at stage n with the side length \\\\(b=2,3,4\\\\).</div>\",\"PeriodicalId\":667,\"journal\":{\"name\":\"Journal of Statistical Physics\",\"volume\":\"192 2\",\"pages\":\"\"},\"PeriodicalIF\":1.3000,\"publicationDate\":\"2025-01-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Statistical Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10955-024-03392-8\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, MATHEMATICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Statistical Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s10955-024-03392-8","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}

引用次数: 0

摘要

Chang和Chen （J Stat Phys 131(4): 631-650, 2008）和Chang等（J Stat Phys 126(3): 649-667, 2007）给出了Sierpinski垫片\(SG_b(n)\)在第n阶段，边长b分别为2、3和4时的二聚体覆盖物和生成树的数量。本文得到了边长为\(b=2,3,4\)的硅酸盐型Sierpinski垫片\(SO_b(n)\)在n阶段上二聚体覆盖层数和生成树数的精确封闭公式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

On the Statistics of Dimer Coverings and Spanning Trees on the Silicate-Type Sierpinski Gasket

查看原文本刊更多论文

On the Statistics of Dimer Coverings and Spanning Trees on the Silicate-Type Sierpinski Gasket

Chang and Chen (J Stat Phys 131(4):631–650, 2008) and Chang et al. (J Stat Phys 126(3):649–667, 2007) present the number of dimer coverings and spanning trees on the Sierpinski gasket \(SG_b(n)\) at stage n with the side length b equal to two, three and four, respectively. In this paper, we obtain the exact closed formula of the number of dimer coverings and spanning trees on the silicate-type Sierpinski gasket \(SO_b(n)\) at stage n with the side length \(b=2,3,4\).

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Journal of Statistical Physics 物理-物理：数学物理

CiteScore

3.10

自引率

12.50%

发文量

152

审稿时长

3-6 weeks

期刊介绍： The Journal of Statistical Physics publishes original and invited review papers in all areas of statistical physics as well as in related fields concerned with collective phenomena in physical systems.