3 papers
math.CO2018
A Combinatorial Approach to Mixed Ratios of Characteristic Polynomials
Helen Riedtmann
We provide a combinatorial derivation of an asymptotic formula for averages of mixed ratios of characteristic polynomials over the unitary group, where mixed ratios are products of…
math.CO2018
Overlap Identities for Littlewood-Schur Functions
Helen Riedtmann
Our results revolve around a new operation on partitions, which we call overlap. We prove two overlap identities for so-called Littlewood-Schur functions. Littlewood-Schur function…
math.CO2018
Combinatorial Structures in Random Matrix Theory Predictions for -Functions
Helen Riedtmann
Our results can be viewed as applications of algebraic combinatorics in random matrix theory. These applications are motivated by the predictive power of random matrix theory for t…