The Eigenvector Moment Flow and Local Quantum Unique Ergodicity

We prove that the distribution of eigenvectors of generalized Wigner matrices is universal both in the bulk and at the edge. This includes a probabilistic version of local quantum unique ergodicity and asymptotic normality of the eigenvector entries. The proof relies on analyzing the eigenvector flo...

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Veröffentlicht in:	Communications in mathematical physics 2017-02, Vol.350 (1), p.231-278
Hauptverfasser:	Bourgade, P., Yau, H.-T.
Format:	Artikel
Sprache:	eng
Schlagworte:	Classical and Quantum Gravitation Complex Systems Eigenvectors Mathematical and Computational Physics Mathematical Physics Physics Physics and Astronomy Quantum Physics Relativity Theory Theoretical
Online-Zugang:	Volltext
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