科研之友
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摘要
Combining Stein's method with heat kernel techniques, we show that the trace of the jth power of an element of U(n, C), U Sp(n, C) or SO(n, R) has a normal limit with error term C . j/n, with C an absolute constant. In contrast to previous works, here j may be growing with n. The technique might prove useful in the study of the value distribution of approximate eigenfunctions of Laplacians.
- 出版日期2012-8-18
