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 
@article{10_4007_annals_2010_172_2223,
     author = {Sasha Sodin},
     title = {The spectral edge of some random band matrices},
     journal = {Annals of mathematics},
     pages = {2223--2251},
     publisher = {mathdoc},
     volume = {172},
     number = {3},
     year = {2010},
     doi = {10.4007/annals.2010.172.2223},
     mrnumber = {2726110},
     zbl = {1210.15039},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4007/annals.2010.172.2223/}
}
TY  - JOUR
AU  - Sasha Sodin
TI  - The spectral edge of some random band matrices
JO  - Annals of mathematics
PY  - 2010
SP  - 2223
EP  - 2251
VL  - 172
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4007/annals.2010.172.2223/
DO  - 10.4007/annals.2010.172.2223
LA  - en
ID  - 10_4007_annals_2010_172_2223
ER  - 
%0 Journal Article
%A Sasha Sodin
%T The spectral edge of some random band matrices
%J Annals of mathematics
%D 2010
%P 2223-2251
%V 172
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4007/annals.2010.172.2223/
%R 10.4007/annals.2010.172.2223
%G en
%F 10_4007_annals_2010_172_2223
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. http://geodesic.mathdoc.fr/articles/10.4007/annals.2010.172.2223/

Cité par Sources :