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Double-scaling limits of Toeplitz determinants and Fisher-Hartwig singularities

Virtanen, J. A. (2018) Double-scaling limits of Toeplitz determinants and Fisher-Hartwig singularities. In: Böttcher, A., Potts, D., Stollmann, P. and Wenzel, D. (eds.) The Diversity and Beauty of Applied Operator Theory. Operator Theory: Advances and Applications (268). Springer, pp. 495-504. ISBN 9783319759951

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To link to this item DOI: 10.1007/978-3-319-75996-8_29

Abstract/Summary

Double-scaling limits of Toeplitz determinants Dn(ft) generated by a set of functions ft ∈ L1 are discussed as both n → ∞ and t → 0 simultaneously, which is currently of great importance in mathematics and in physics. The main focus is on the cases where the number of Fisher–Hartwig singularities changes as t → 0. All the results on double-scaling limits are discussed in the context of applications in random matrix theory and in mathematical physics.

Item Type:Book or Report Section
Refereed:Yes
Divisions:Faculty of Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
ID Code:75928
Publisher:Springer

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