Fetching the paper…

Reading the bibliography…

CLT for spectra of submatrices of Wigner random matrices · Around

2010

CLT for spectra of submatrices of Wigner random matrices

Borodin, Alexei

Original
PDF
Post on X

Understand

We prove a CLT for spectra of submatrices of real symmetric and Hermitian Wigner matrices.

We show that if in the standard normalization the fourth moment of the off-digonal entries is GOE/GUE-like then the limiting Gaussian process can be viewed as a collection of simply yet nontrivially correlated two-dimensional Gaussian Free Fields.

Built on

R. L. Graham, D. E. Knuth, and O. Patashnik
1994
Earlier work this paper cites.
K. Johansson
1998
Earlier work this paper cites.
K. Johansson and E. Nordenstam
2006
Earlier work this paper cites.

Similar

A. Okounkov and N. Reshetikhin
2006
Cited alongside, same era.
S. Sheffield
2007
Cited alongside, same era.
A. Borodin and P. L. Ferrari
Original
2008
Cited alongside, same era.

Then

R. Kenyon
2008
Later among the works it cites.
G. W. Anderson, A. Guionnet, and O. Zeitouni
2010
Closest in time.
Z. Bai and J. W. Silverstein
2010
Closest in time.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…