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We show that the ratio of a discrete Toeplitz/Hankel determinant and its continuous counterpart equals a Freholm determinant involving continuous orthogonal polynomials. This identity is used to evaluate a triple asymptotic of some discrete Toeplitz/Hankel determinants which arise in studying nonintersecting processes. We show that the asymptotic fluctuations of the width of such processes are giv...

Discrete Toeplitz/Hankel Determinants and the Width of Nonintersecting Processes