275 citations
- Queen's UniversityCA70 papers
- Queen's University BelfastGB27 papers
- University of OxfordGB14 papers
- University of WarwickGB13 papers
- AlbaNovaSE10 papers
- Institute of Space SciencesES10 papers
- European Southern ObservatoryCL9 papers
- Institut d'Estudis Espacials de CatalunyaES9 papers
- Astronomical ObservatoryRS8 papers
- California Institute of TechnologyUS8 papers
- Center for Astrophysics Harvard & SmithsonianUS8 papers
- Trinity College DublinIE8 papers
6 papers · 1 filter
Bi-Boolean independence for pairs of algebras
Yinzheng Gu, Paul Skoufranis
In this paper, the notion of bi-Boolean independence for non-unital pairs of algebras is introduced thereby extending the notion of Boolean independence to pairs of algebras. The n…
Asymptotic infinitesimal freeness with amalgamation for Haar quantum unitary random matrices
Stephen Curran, Roland Speicher
We consider the limiting distribution of and (and more general expressions), where and are matrices with entries in a unital C-alge…
Stochastic aspects of easy quantum groups
Teodor Banica, Stephen Curran, Roland Speicher
We consider several orthogonal quantum groups satisfying the easiness assumption axiomatized in our previous paper. For each of them we discuss the computation of the asymptotic la…
Second Order Freeness and Fluctuations of Random Matrices: I. Gaussian and Wishart matrices and Cyclic Fock spaces
James A. Mingo, Roland Speicher
We extend the relation between random matrices and free probability theory from the level of expectations to the level of fluctuations. We introduce the concept of "second order fr…
Annular non-crossing permutations and partitions, and second-order asymptotics for random matrices
James A. Mingo, Alexandru Nica
We study the set of permutations of which are non-crossing in an annulus with points marked on its external circle and points marked on its…
Random unitaries in non-commutative tori, and an asymptotic model for q-circular systems
James A. Mingo, Alexandru Nica
We consider the concept of a q-circular system, which is a deformation of the circular system from free probability, taking place in the framework of the so-called 'q-commutation r…