马洛尺度的局部中心极限定理

arXiv - MATH - Probability Pub Date : 2024-09-16 DOI:arxiv-2409.10415

Alexey Bufetov, Kailun Chen

{"title":"马洛尺度的局部中心极限定理","authors":"Alexey Bufetov, Kailun Chen","doi":"arxiv-2409.10415","DOIUrl":null,"url":null,"abstract":"We study the statistics of the Mallows measure on permutations in the limit\npioneered by Starr (2009). Our main result is the local central limit theorem\nfor its height function. We also re-derive versions of the law of large numbers\nand the large deviation principle, obtain the standard central limit theorem\nfrom the local one, and establish a multi-point version of the local central\nlimit theorem.","PeriodicalId":501245,"journal":{"name":"arXiv - MATH - Probability","volume":"24 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Local central limit theorem for Mallows measure\",\"authors\":\"Alexey Bufetov, Kailun Chen\",\"doi\":\"arxiv-2409.10415\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study the statistics of the Mallows measure on permutations in the limit\\npioneered by Starr (2009). Our main result is the local central limit theorem\\nfor its height function. We also re-derive versions of the law of large numbers\\nand the large deviation principle, obtain the standard central limit theorem\\nfrom the local one, and establish a multi-point version of the local central\\nlimit theorem.\",\"PeriodicalId\":501245,\"journal\":{\"name\":\"arXiv - MATH - Probability\",\"volume\":\"24 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Probability\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.10415\",\"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 - MATH - Probability","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.10415","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

我们在 Starr（2009）的极限开创中研究了关于排列的 Mallows 度量的统计。我们的主要结果是其高度函数的局部中心极限定理。我们还重新推导了大数定律和大偏差原理的版本，从局部中心极限定理得到了标准中心极限定理，并建立了局部中心极限定理的多点版本。

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

Local central limit theorem for Mallows measure

We study the statistics of the Mallows measure on permutations in the limit pioneered by Starr (2009). Our main result is the local central limit theorem for its height function. We also re-derive versions of the law of large numbers and the large deviation principle, obtain the standard central limit theorem from the local one, and establish a multi-point version of the local central limit theorem.

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 - MATH - Probability

自引率

0.00%

发文量

期刊最新文献

Total disconnectedness and percolation for the supports of super-tree random measures The largest fragment in self-similar fragmentation processes of positive index Local limit of the random degree constrained process The Moran process on a random graph Abelian and stochastic sandpile models on complete bipartite graphs