Asymptotics for Toeplitz determinants on a circular arc

Abstract

An asymptotic formula is found for a Toeplitz determinant with the symbol supported on an arc of the unit circle in the case when the symbol has Fisher-Hartwig singularities.

11 pages, 1 figure

References in corpus (1)

• Some computable Wiener-Hopf determinants and polynomials orthogonal on an arc of the unit circle

Cited by in corpus (4)

• Asymptotics for Toeplitz determinants: perturbation of symbols with a gap
• Asymptotic expansion of Toeplitz determinants of an indicator function with discrete rotational symmetry and powers of random unitary matrices
• Truncated Wiener-Hopf operators with Fisher Hartwig singularities
• The Fisher-Hartwig Formula and Generalized Entropies in XY Spin Chain