当测地线在有向景观中变为刚性时

IF 0.5 4区数学 Q4 STATISTICS & PROBABILITY

Electronic Communications in Probability Pub Date : 2021-06-13 DOI:10.1214/22-ecp484

Zhipeng Liu

{"title":"当测地线在有向景观中变为刚性时","authors":"Zhipeng Liu","doi":"10.1214/22-ecp484","DOIUrl":null,"url":null,"abstract":"When the value L of the directed landscape at a point ( p ; q ) is suﬃciently large, the geodesic from p to q is rigid and its location ﬂuctuates of order L − 1 / 4 around its expectation. We further show that at a midpoint of the geodesic, the location of the geodesic and the value of the directed landscape after appropriate scaling converge to two independent Gaussians.","PeriodicalId":50543,"journal":{"name":"Electronic Communications in Probability","volume":" ","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2021-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"When the geodesic becomes rigid in the directed landscape\",\"authors\":\"Zhipeng Liu\",\"doi\":\"10.1214/22-ecp484\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"When the value L of the directed landscape at a point ( p ; q ) is suﬃciently large, the geodesic from p to q is rigid and its location ﬂuctuates of order L − 1 / 4 around its expectation. We further show that at a midpoint of the geodesic, the location of the geodesic and the value of the directed landscape after appropriate scaling converge to two independent Gaussians.\",\"PeriodicalId\":50543,\"journal\":{\"name\":\"Electronic Communications in Probability\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2021-06-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Electronic Communications in Probability\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1214/22-ecp484\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"STATISTICS & PROBABILITY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Electronic Communications in Probability","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1214/22-ecp484","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"STATISTICS & PROBABILITY","Score":null,"Total":0}

引用次数: 3

摘要

当一点（p；q）的有向景观的值L足够大时，从p到q的测地线是刚性的，其位置围绕其预期为L−1/4阶。我们进一步证明，在测地线的中点，测地线的位置和适当缩放后的定向景观的值收敛到两个独立的高斯。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

When the geodesic becomes rigid in the directed landscape

When the value L of the directed landscape at a point ( p ; q ) is suﬃciently large, the geodesic from p to q is rigid and its location ﬂuctuates of order L − 1 / 4 around its expectation. We further show that at a midpoint of the geodesic, the location of the geodesic and the value of the directed landscape after appropriate scaling converge to two independent Gaussians.

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

Electronic Communications in Probability 工程技术-统计学与概率论

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Electronic Communications in Probability (ECP) publishes short research articles in probability theory. Its sister journal, the Electronic Journal of Probability (EJP), publishes full-length articles in probability theory. Short papers, those less than 12 pages, should be submitted to ECP first. EJP and ECP share the same editorial board, but with different Editors in Chief.