臺灣大學: 數學研究所張志中許朝雄Hsu, Chao-HsiungChao-HsiungHsu2013-03-212018-06-282013-03-212018-06-282012http://ntur.lib.ntu.edu.tw//handle/246246/249927In this paper, we consider n×n real symmetric Wigner matrices W with independent (modulo symmetry condition), but not necessarily identically distributed, entries {W_jk }_(j,k=1)^n and prove central limit theorem for linear eigenvalue statistics of such matrices.336209 bytesapplication/pdfen-US隨機矩陣特徵值中央極限定理Random matrices,EigenvaluesCentral limit theorem廣義隨機矩陣特徵值之中央極限定理Central Limit Theorem for Linear Eigenvalue Statistics of Generalized Wigner Matricesthesishttp://ntur.lib.ntu.edu.tw/bitstream/246246/249927/1/ntu-101-R98221002-1.pdf