弱不对称桥梁的标度极限

IF 1.3 Q2 STATISTICS & PROBABILITY Probability Surveys Pub Date : 2016-09-19 DOI:10.1214/17-PS285

C. Labb'e

{"title":"弱不对称桥梁的标度极限","authors":"C. Labb'e","doi":"10.1214/17-PS285","DOIUrl":null,"url":null,"abstract":"We consider a discrete bridge from ((0,0)) to ((2N,0)) evolving according to the corner growth dynamics, where the jump rates are subject to an upward asymmetry of order (N^{-alpha}) with (alphain(0,infty)). We provide a classification of the asymptotic behaviours - invariant measure, hydrodynamic limit and fluctuations - of this model according to the value of the parameter (alpha).\r\n\r\n<script type=\"text/javascript\"\r\nsrc=\"//cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML\">","PeriodicalId":46216,"journal":{"name":"Probability Surveys","volume":null,"pages":null},"PeriodicalIF":1.3000,"publicationDate":"2016-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":"{\"title\":\"On the scaling limits of weakly asymmetric bridges\",\"authors\":\"C. Labb'e\",\"doi\":\"10.1214/17-PS285\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We consider a discrete bridge from ((0,0)) to ((2N,0)) evolving according to the corner growth dynamics, where the jump rates are subject to an upward asymmetry of order (N^{-alpha}) with (alphain(0,infty)). We provide a classification of the asymptotic behaviours - invariant measure, hydrodynamic limit and fluctuations - of this model according to the value of the parameter (alpha).\\r\\n\\r\\n<script type=\\\"text/javascript\\\"\\r\\nsrc=\\\"//cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML\\\">\",\"PeriodicalId\":46216,\"journal\":{\"name\":\"Probability Surveys\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.3000,\"publicationDate\":\"2016-09-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Probability Surveys\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1214/17-PS285\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"STATISTICS & PROBABILITY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Probability Surveys","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1214/17-PS285","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"STATISTICS & PROBABILITY","Score":null,"Total":0}

引用次数: 7

摘要

我们考虑一个从(0,0)到(2N,0)的离散桥，根据角生长动力学进行进化，其中跳跃率服从于(N^{-alpha})阶与(alphain(0,infty))的向上不对称。我们根据参数(alpha)的值对该模型的渐近行为——不变测度、流体动力极限和波动——进行了分类。

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

On the scaling limits of weakly asymmetric bridges

We consider a discrete bridge from ((0,0)) to ((2N,0)) evolving according to the corner growth dynamics, where the jump rates are subject to an upward asymmetry of order (N^{-alpha}) with (alphain(0,infty)). We provide a classification of the asymptotic behaviours - invariant measure, hydrodynamic limit and fluctuations - of this model according to the value of the parameter (alpha).

Book学术文献互助群
群号：481959085

文献互助智能选刊最新文献互助须知联系我们：info@booksci.cn

Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。