{"title":"TASEP in half-space","authors":"Xincheng Zhang","doi":"arxiv-2409.09974","DOIUrl":null,"url":null,"abstract":"We study the half-space TASEP with a reservoir at the origin. We solve the\nmodel for a general deterministic initial condition. Taking the 1:2:3 KPZ\nscaling, we derive the transition probability for the half-space KPZ fixed\npoint.","PeriodicalId":501245,"journal":{"name":"arXiv - MATH - Probability","volume":"30 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-2409.09974","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We study the half-space TASEP with a reservoir at the origin. We solve the
model for a general deterministic initial condition. Taking the 1:2:3 KPZ
scaling, we derive the transition probability for the half-space KPZ fixed
point.