Weingarten calculus via orthogonality relations: new applications

Sur certaines formes Riemanniennes remarquables des géeométries à groupe fondamental simple (French),

Cartan, E · 1927

Earlier work this paper cites.

A remark on Stirling’s formula

Robbins, H · 1955

Earlier work this paper cites.

Asymptotic behavior of group integrals in the limit of infinite rank

Weingarten, D · 1978

Earlier work this paper cites.

U ⁡ ( N ) \mathrm{U}(N) Integrals, 1 / N 1/N , and the De Wit-’t Hooft anomalies

Samuel, S · 1980

Earlier work this paper cites.

Universality at the edge of the spectrum in Wigner random matrices

Soshnikov, A · 1999

Earlier work this paper cites.

Moments and cumulants of polynomial random variables on unitary groups, the Itzykson-Zuber integral and free probability

Collins, B · 2003

Earlier work this paper cites.

Integration with respect to the Haar measure on unitary, orthogonal and symplectic group

Collins, B., Śniady, P · 2006

Earlier work this paper cites.

Borel theorems for random matrices from the classical compact symmetric spaces

Collins, B., Stolz, M · 2008

Cited alongside, same era.

Jucys-Murphy elements and Weingarten matrices

Zinn-Justin, P · 2010

Cited alongside, same era.

Jucys-Murphy elements, orthogonal matrix integrals, and Jack measures

Matsumoto, S · 2011

Cited alongside, same era.

On Complete Functions in Jucys-Murphy Elements

Féray, V · 2012

Cited alongside, same era.

General Moments of matrix elements from circular orthogonal ensembles

Matsumoto, S · 2012

Cited alongside, same era.

Combinatorial theory of the semiclassical evaluation of transport moments I: equivalence with the random matrix approach

Berkolaiko, G., Kuipers, J · 2013

Cited alongside, same era.

Matrix Product States, Random Matrix Theory and the Principle of Maximum Entropy

Collins, B., Gonzalez-Guillen, C. E., Perez-Garcia, D · 2013

Later among the works it cites.

Monotone Hurwitz numbers in genus zero

Goulden, I., Guay-Paquet, M., Novak, J · 2013

Later among the works it cites.

Weingarten calculus for matrix ensembles associated with compact symmetric spaces

Matsumoto, S · 2013

Later among the works it cites.

Jucys-Murphy elements and unitary matrix integrals

Matsumoto, S., Novak, J · 2013

Later among the works it cites.

Weak multiplicativity for random quantum channels

Montanaro, A · 2013

Later among the works it cites.

Exponential bounds for the support convergence in the Single Ring Theorem

Benaych-Georges, F · 2015

Later among the works it cites.