Please use this identifier to cite or link to this item:
https://ah.lib.nccu.edu.tw/handle/140.119/139041
DC Field | Value | Language |
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dc.contributor | 應數系 | - |
dc.creator | 班榮超 | - |
dc.creator | Ban, Jung-Chao | - |
dc.creator | Hu, Wen-Guei | - |
dc.creator | Lai, Guan-Yu | - |
dc.date | 2021-09 | - |
dc.date.accessioned | 2022-02-10T06:58:13Z | - |
dc.date.available | 2022-02-10T06:58:13Z | - |
dc.date.issued | 2022-02-10T06:58:13Z | - |
dc.identifier.uri | http://nccur.lib.nccu.edu.tw/handle/140.119/139041 | - |
dc.description.abstract | 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 | Indagationes Mathematicae, Vol.33, No.2, pp.450-471 | - |
dc.subject | Large deviation principle;Multiple sum;Weighted multiple sum;Free energy function;Boundary condition | - |
dc.title | Large deviation principle of multidimensional multiple averages on Nd | - |
dc.type | article | - |
dc.identifier.doi | 10.1016/j.indag.2021.09.010 | - |
dc.doi.uri | https://doi.org/10.1016/j.indag.2021.09.010 | - |
item.openairetype | article | - |
item.cerifentitytype | Publications | - |
item.fulltext | With Fulltext | - |
item.grantfulltext | restricted | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
Appears in Collections: | 期刊論文 |
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