A. J. McCafferty

most citedIntegrable operators and squares of Hankel Matrices

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math.FA2008★ 1 cited

Discrete Tracy-Widom Operators

G. Blower, A. J. McCafferty

Integrable operators arise in random matrix theory, where they describe the asymptotic eigenvalue distribution of large self-adjoint random matrices from the generalized unitary en…

math.FA2007★ 1 cited

Integrable operators and squares of Hankel Matrices

A. J. McCafferty

In this note, we find sufficient conditions for an operator with kernel of the form $A (x) B (y) - A (x) B (y) / (x - y)$ (which we call a Tracy-Widom type operator) to be the square of a Hank…