On the GFF with one free boundary condition
文献类型：期刊论文
| 作者 | Han, Yong1; Wang, Yuefei1,2; Wang, Zipeng3 |
| 刊名 | STATISTICS & PROBABILITY LETTERS
 |
| 出版日期 | 2023-02-01 |
| 卷号 | 193页码:8 |
| 关键词 | SLE? Level line of GFF Mixed boundary conditions |
| ISSN号 | 0167-7152 |
| DOI | 10.1016/j.spl.2022.109699 |
| 英文摘要 | In this note, we shall obtain an explicit formula on the probability of the level line of the Gaussian Free Field (GFF) with mixed boundary condition terminating at the free boundary, which generalizes the results of GFF with Dirichlet boundary condition. Our proof of the main result relies on both the martingale methods, and finding out the explicit form of the solution of the partial differential equation derived from the Ito's calculus with extra efforts.(c) 2022 Elsevier B.V. All rights reserved. |
| 资助项目 | NSF of China ; NSF of Chongqing ; [12131016] ; [12201419] ; [CSTB2022BSXM- JCX0088] ; [CSTB2022NSCQ-MSX0321] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000875779100001 |
| 出版者 | ELSEVIER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/60817]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Han, Yong |
| 作者单位 | 1.Shenzhen Univ, Coll Math & Stat, Shenzhen 518060, Guangdong, Peoples R China 2.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China |
| 推荐引用方式 GB/T 7714 | Han, Yong,Wang, Yuefei,Wang, Zipeng. On the GFF with one free boundary condition[J]. STATISTICS & PROBABILITY LETTERS,2023,193:8. |
| APA | Han, Yong,Wang, Yuefei,&Wang, Zipeng.(2023).On the GFF with one free boundary condition.STATISTICS & PROBABILITY LETTERS,193,8. |
| MLA | Han, Yong,et al."On the GFF with one free boundary condition".STATISTICS & PROBABILITY LETTERS 193(2023):8. |
入库方式： OAI收割
来源：数学与系统科学研究院
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