{"title":"半空间 TASEP","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":"{\"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}","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}
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.
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