Geodesic
The spectral edge of some random band matrices
Sasha Sodin1
1 School of Mathematical Sciences<br/>Tel Aviv University<br/>Ramav Aviv, Tel Aviv 69978<br/>Israel
Annals of mathematics, Tome 172 (2010) no. 3, pp. 2223-2251

Voir la notice de l'article provenant de la source Annals of Mathematics website

We study the asymptotic distribution of the eigenvalues of random Hermitian periodic band matrices, focusing on the spectral edges. The eigenvalues close to the edges converge in distribution to the Airy point process if (and only if) the band is sufficiently wide ($W \gg N^{5/6}$). Otherwise, a different limiting distribution appears.

DOI : 10.4007/annals.2010.172.2223

Sasha Sodin 1

1 School of Mathematical Sciences<br/>Tel Aviv University<br/>Ramav Aviv, Tel Aviv 69978<br/>Israel 
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Sasha Sodin. The spectral edge of some random band matrices. Annals of mathematics, Tome 172 (2010) no. 3, pp. 2223-2251. doi: 10.4007/annals.2010.172.2223

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