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    政大機構典藏 > 理學院 > 應用數學系 > 期刊論文 >  Item 140.119/139041
    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/139041


    Title: Large deviation principle of multidimensional multiple averages on Nd
    Authors: 班榮超
    Ban, Jung-Chao
    Hu, Wen-Guei
    Lai, Guan-Yu
    Contributors: 應數系
    Keywords: Large deviation principle;Multiple sum;Weighted multiple sum;Free energy function;Boundary condition
    Date: 2021-09
    Issue Date: 2022-02-10 14:58:13 (UTC+8)
    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.
    Relation: Indagationes Mathematicae, Vol.33, No.2, pp.450-471
    Data Type: article
    DOI 連結: https://doi.org/10.1016/j.indag.2021.09.010
    DOI: 10.1016/j.indag.2021.09.010
    Appears in Collections:[應用數學系] 期刊論文

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