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On the asymptotics of some large Hankel determinants generated by Fisher–Hartwig symbols defined on the real line

On the asymptotics of some large Hankel determinants generated by Fisher–Hartwig symbols defined on the real line

We investigate the asymptotics of the determinant of N by N Hankel matrices generated by Fisher-Hartwig symbols defined on the real line, as N becomes large. Such objects are natural analogues of Toeplitz determinants generated by Fisher-Hartwig symbols, and arise in random matrix theory in the investigation of certain expectations …