图组态空间中的随机编织模型

arXiv: Combinatorics Pub Date : 2020-04-01 DOI:10.1093/IMRN/RNAB008

D. A. Levin, Eric Ramos, Benjamin Young

{"title":"图组态空间中的随机编织模型","authors":"D. A. Levin, Eric Ramos, Benjamin Young","doi":"10.1093/IMRN/RNAB008","DOIUrl":null,"url":null,"abstract":"We define and study a model of winding for non-colliding particles in finite trees. We prove that the asymptotic behavior of this statistic satisfies a central limiting theorem, analogous to similar results on winding of bounded particles in the plane. We also propose certain natural open questions and conjectures, whose confirmation would provide new insights on configuration spaces of trees.","PeriodicalId":8442,"journal":{"name":"arXiv: Combinatorics","volume":"87 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2020-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A Model for Random Braiding in Graph Configuration Spaces\",\"authors\":\"D. A. Levin, Eric Ramos, Benjamin Young\",\"doi\":\"10.1093/IMRN/RNAB008\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We define and study a model of winding for non-colliding particles in finite trees. We prove that the asymptotic behavior of this statistic satisfies a central limiting theorem, analogous to similar results on winding of bounded particles in the plane. We also propose certain natural open questions and conjectures, whose confirmation would provide new insights on configuration spaces of trees.\",\"PeriodicalId\":8442,\"journal\":{\"name\":\"arXiv: Combinatorics\",\"volume\":\"87 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-04-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv: Combinatorics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1093/IMRN/RNAB008\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv: Combinatorics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1093/IMRN/RNAB008","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

我们定义并研究了有限树中非碰撞粒子的缠绕模型。我们证明了该统计量的渐近性质满足中心极限定理，类似于平面上有界粒子缠绕的类似结果。我们还提出了一些自然开放的问题和猜想，这些问题和猜想的证实将为树木的构型空间提供新的见解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

A Model for Random Braiding in Graph Configuration Spaces

We define and study a model of winding for non-colliding particles in finite trees. We prove that the asymptotic behavior of this statistic satisfies a central limiting theorem, analogous to similar results on winding of bounded particles in the plane. We also propose certain natural open questions and conjectures, whose confirmation would provide new insights on configuration spaces of trees.

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

arXiv: Combinatorics

自引率

0.00%

发文量

期刊最新文献

Schubert Products for Permutations with Separated Descents. Explicit Formulas for the First Form (q,r)-Dowling Numbers and (q,r)-Whitney-Lah Numbers Tit-for-Tat Strategy as a Deformed Zero-Determinant Strategy in Repeated Games An inequality for coefficients of the real-rooted polynomials $\lambda$-Core Distance Partitions