| dc.contributor | 應數系 | - |
| dc.creator (作者) | 班榮超 | - |
| dc.creator (作者) | Ban, Jung-Chao | - |
| dc.creator (作者) | Hu, Wen-Guei | - |
| dc.creator (作者) | Lai, Guan-Yu | - |
| dc.date (日期) | 2021-09 | - |
| dc.date.accessioned | 10-Feb-2022 14:58:13 (UTC+8) | - |
| dc.date.available | 10-Feb-2022 14:58:13 (UTC+8) | - |
| dc.date.issued (上傳時間) | 10-Feb-2022 14:58:13 (UTC+8) | - |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/139041 | - |
| dc.description.abstract (摘要) | This paper establishes the large deviation principle (LDP) for multiple averages on Nd . We extend the previous work of Carinci et al. (2012) to multidimensional lattice Nd for d≥≥2. The same technique is also applicable to the weighted multiple average launched by Fan (2021). Finally, the boundary conditions are imposed to the multiple sum and explicit formulae of the energy functions with respect to the boundary conditions are obtained. | - |
| dc.format.extent | 737211 bytes | - |
| dc.format.mimetype | application/pdf | - |
| dc.relation (關聯) | Indagationes Mathematicae, Vol.33, No.2, pp.450-471 | - |
| dc.subject (關鍵詞) | Large deviation principle;Multiple sum;Weighted multiple sum;Free energy function;Boundary condition | - |
| dc.title (題名) | Large deviation principle of multidimensional multiple averages on Nd | - |
| dc.type (資料類型) | article | - |
| dc.identifier.doi (DOI) | 10.1016/j.indag.2021.09.010 | - |
| dc.doi.uri (DOI) | https://doi.org/10.1016/j.indag.2021.09.010 | - |
