18 citations · 23 across the 7 of their papers we have counts for
8 papers
Möbius Functions of Some Annular Noncrossing Objects
C. E. I. Redelmeier
We present the Möbius functions of several posets of annular noncrossing objects, namely a self-dual extension of the annular noncrossing permutations, minimal length annular parti…
Real and quaternionic second-order free cumulants and connections to matrix cumulants
C. E. I. Redelmeier
We present definitions for real and quaternionic second-order free cumulants, functions whose collective vanshing when applied to elements from different subalgebras is equivalent…
Topological expansion for Haar-distributed orthogonal matrices and second-order freeness of orthogonally invariant ensembles
C. E. I. Redelmeier
We present a genus expansion-type expression for the expected values of products of traces of expressions involving Haar-distributed orthogonal matrices. As with other real genus e…
Quaternionic Second-Order Freeness and the Fluctuations of Large Symplectically Invariant Random Matrices
C. E. I. Redelmeier
We present a definition for second-order freeness in the quaternionic case. We demonstrate that this definition on a second-order probability space is asymptotically satisfied by i…
Explicit Multi-Matrix Topological Expansion for Quaternionic Random Matrices
C. E. I. Redelmeier
We present an explicit formula for the expected value of a product of several independent symplectically invariant matrices in which the trace and real part function may be applied…
Appendix to "Real second-order freeness and the asymptotic real second-order freeness of several real matrix models": Examples and Diagrams
C. Emily I. Redelmeier
We present examples and diagrams illustrating the proofs appearing in "Real second-order freeness and the asymptotic real second-order freeness of several real matrix models", to w…
Real second-order freeness and the asymptotic real second-order freeness of several real matrix ensembles
C. Emily I. Redelmeier
We introduce real second-order freeness in second-order noncommutative probability spaces. We demonstrate that under this definition, three real models of random matrices, namely r…
Representations of the Temperley-Lieb Algebra via a New Inner Product on Half-Diagrams
C. Emily I. Redelmeier
We describe an inner product on the diagrams on which the Temperley-Lieb algebra can be represented. We exhibit several constructions which are in natural combinatorial bijection w…