The Wigner semi-circle law and the Heisenberg group

Jacques Faraut, and Linda Saal. "The Wigner semi-circle law and the Heisenberg group." Banach Center Publications 78.1 (2007): 133-143. <http://eudml.org/doc/282264>.

@article{JacquesFaraut2007,
abstract = {The Wigner Theorem states that the statistical distribution of the eigenvalues of a random Hermitian matrix converges to the semi-circular law as the dimension goes to infinity. It is possible to establish this result by using harmonic analysis on the Heisenberg group. In fact this convergence corresponds to the topology of the set of spherical functions associated to the action of the unitary group on the Heisenberg group.},
author = {Jacques Faraut, Linda Saal},
journal = {Banach Center Publications},
keywords = {random matrix; semi-circle law; Wigner Theorem; Heisenberg group; spherical function; statistical distribution of the eigenvalues},
language = {eng},
number = {1},
pages = {133-143},
title = {The Wigner semi-circle law and the Heisenberg group},
url = {http://eudml.org/doc/282264},
volume = {78},
year = {2007},
}

TY - JOUR
AU - Jacques Faraut
AU - Linda Saal
TI - The Wigner semi-circle law and the Heisenberg group
JO - Banach Center Publications
PY - 2007
VL - 78
IS - 1
SP - 133
EP - 143
AB - The Wigner Theorem states that the statistical distribution of the eigenvalues of a random Hermitian matrix converges to the semi-circular law as the dimension goes to infinity. It is possible to establish this result by using harmonic analysis on the Heisenberg group. In fact this convergence corresponds to the topology of the set of spherical functions associated to the action of the unitary group on the Heisenberg group.
LA - eng
KW - random matrix; semi-circle law; Wigner Theorem; Heisenberg group; spherical function; statistical distribution of the eigenvalues
UR - http://eudml.org/doc/282264
ER -