---
res:
bibo_abstract:
- We consider products of random matrices that are small, independent identically
distributed perturbations of a fixed matrix (Formula presented.). Focusing on
the eigenvalues of (Formula presented.) of a particular size we obtain a limit
to a SDE in a critical scaling. Previous results required (Formula presented.)
to be a (conjugated) unitary matrix so it could not have eigenvalues of different
modulus. From the result we can also obtain a limit SDE for the Markov process
given by the action of the random products on the flag manifold. Applying the
result to random Schrödinger operators we can improve some results by Valko and
Virag showing GOE statistics for the rescaled eigenvalue process of a sequence
of Anderson models on long boxes. In particular, we solve a problem posed in their
work.@eng
bibo_authorlist:
- foaf_Person:
foaf_givenName: Christian
foaf_name: Sadel, Christian
foaf_surname: Sadel
foaf_workInfoHomepage: http://www.librecat.org/personId=4760E9F8-F248-11E8-B48F-1D18A9856A87
orcid: 0000-0001-8255-3968
- foaf_Person:
foaf_givenName: Bálint
foaf_name: Virág, Bálint
foaf_surname: Virág
bibo_doi: 10.1007/s00220-016-2600-4
bibo_issue: '3'
bibo_volume: 343
dct_date: 2016^xs_gYear
dct_language: eng
dct_publisher: Springer@
dct_title: A central limit theorem for products of random matrices and GOE statistics
for the Anderson model on long boxes@
...