On the edge universality of the local eigenvalue statistics of matrix models

  title={On the edge universality of the local eigenvalue statistics of matrix models},
  author={Leonid Pastur and Maria Shcherbina},
Basing on our recent results on the 1/n-expansion in unitary invariant random matrix ensembles, known as matrix models, we prove that the local eigenvalue statistic, arising in a certain neighborhood of the edges of the support of the Density of States, is independent of the form of the potential, determining the matrix model. Our proof is applicable to the case of real analytic potentials and of supports, consisting of one or two disjoint intervals. 
Highly Cited
This paper has 18 citations. REVIEW CITATIONS

From This Paper

Topics from this paper.


Publications referenced by this paper.
Showing 1-10 of 19 references

The spectrum edges of random matrix ensembles

P. Forrester
Nucl. Phys. B • 1993
View 4 Excerpts
Highly Influenced

On fluctuations of eigenvalues of random Hermitian matrices

K. Johansson
Duke Math. J. 91, • 1998
View 4 Excerpts
Highly Influenced

On the statistical mechanics approach in the random matrix theory. Integrated density of states

Monvel A. Boutet de, L. Pastur, M. Shcherbina
J. Stat. Phys • 1995
View 6 Excerpts
Highly Influenced

On the 1/n expansion for some unitary invariant ensembles of random matrices

S. Albeverio, L. Pastur, M. Shcherbina
Commun. Math. Phys. 224, • 2001
View 2 Excerpts

Random matrices as paradigm

L. Pastur
Zegarlinski B. (eds.) Mathematical Physics • 2000

New results on the equilibrium measure in the presence of external field

P. Deift, T. Kriecherbauer, K. McLaughlin
J. Approx. Theory • 1998
View 2 Excerpts

Random matrix theories in quantum physics: common concepts

T. Guhr, A. Mueller-Groeling, Weidenmueller H.A
Phys. Rept • 1998
View 1 Excerpt

Similar Papers

Loading similar papers…