| Título: | Stein's method, heat kernel, and traces of powers of elements of compact Lie groups |
| Autores: | Fulman, Jason; University of Southern California |
| Fecha: | 2012-01-01 |
| Publicador: | Electronic journal of probability |
| Fuente: |
 |
| Tipo: | Peer-reviewed Article |
| Tema: |
random matrix, Stein's method, heat kernel 60B20; 15B52; 60F05 |
| Descripción: | Combining Stein's method with heat kernel techniques, we show that the trace of the jth power of an element of U(n,C), USp(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. |
| Idioma: | Inglés |
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