Operators and special functions in random matrix theory

The Fredholm determinants of integral operators with kernel of the form (A(x)B(y) − A(y)B(x))/(x−y) arise in probabilistic calculations in Random Matrix Theory. These were extensively studied by Tracy and Widom, so we refer to them as Tracy–Widom operators. We prove that the integral operator with J...

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Bibliographic Details
Main Author: McCafferty, Andrew James
Published: Lancaster University 2008
Subjects:
510
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.524733