Limiting behavior of eigenvectors of large Wigner matrices

• المؤلفون الرئيسيون: Bai, Z. D., Pan, G. M.
• مؤلفون آخرون: School of Physical and Mathematical Sciences
• التنسيق: مقال
• اللغة: English
• منشور في: 2013
• الموضوعات: DRNTU::Science::Mathematics
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/99322; http://hdl.handle.net/10220/17138

A new form of empirical spectral distribution of a Wigner matrix Wn with weights specified by the eigenvectors is defined and it is then shown to converge with probability one to the semicircular law. Moreover, central limit theorem for linear spectral statistics defined by the eigenvectors and eige...