One-point distribution of the geodesic in directed last passage percolation

• 成果类型: Article
• 署名作者: Liu, Zhipeng
• 署名单位: University of Kansas
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s00440-022-01123-2
• 发表日期: 2022
• 页码: 425-491
• 关键词: fluctuations; polymers; tasep

摘要

We consider the geodesic of the directed last passage percolation with iid exponential weights. We find the explicit one-point distribution of the geodesic location joint with the last passage times, and its limit as the parameters go to infinity under the KPZ scaling.