Christopher D. Sinclair

collaborators

3 papers

math-ph2026

The Hirota Identity for Hyperpfaffian $I ¨ $ -Functions in Charge- $L$ Ensembles

Christopher D. Sinclair

We study log-gas ensembles with inverse temperature $I^^{2} = L^{2}$ using a confluent Vandermonde representation that admits a formulation in the exterior algebra of a finite-dimensional…

math-ph2026

Exact Solvability via the KP Hierarchy for $I^^{2} = L^{2}$ Random Matrix Ensembles

Christopher D. Sinclair

Random matrix ensembles with Dyson index $I^^{2} = L^{2}$ describe systems of $M$ charge- $L$ particles interacting logarithmically in the presence of an external potential, yet exact for…

math-ph2025

Hyperpfaffian Correlations for Beta-Ensembles: Beta an Even Square Integer

Christopher D. Sinclair, Jonathan M. Wells

We give a hyperpfaffian formulation for correlation functions in $I^^{2}$ -ensembles arising in random matrix theory and statistical mechanics when $I^^{2} = L^{2}$ is an even square integer.…

The Hirota Identity for Hyperpfaffian I¨-Functions in Charge-L Ensembles

Exact Solvability via the KP Hierarchy for I^2=L2 Random Matrix Ensembles

Hyperpfaffian Correlations for Beta-Ensembles: Beta an Even Square Integer

The Hirota Identity for Hyperpfaffian $I ¨ $ -Functions in Charge- $L$ Ensembles

Exact Solvability via the KP Hierarchy for $I^^{2} = L^{2}$ Random Matrix Ensembles