# The Wigner semi-circle law and the Heisenberg group

Banach Center Publications (2007)

- Volume: 78, Issue: 1, page 133-143
- ISSN: 0137-6934

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topJacques 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 -

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