On the Asymptotic Behavior of a Log Gas in the Bulk Scaling Limit in the Presence of a Varying External Potential II

DOI10.1007/978-3-319-49182-0_12zbMath1382.82014arXiv1512.02883OpenAlexW4239521747MaRDI QIDQ5269034

Thomas Bothner, Alexander R. Its, I. V. Krasovsky, Percy A. Deift

Publication date: 14 June 2017

Published in: Large Truncated Toeplitz Matrices, Toeplitz Operators, and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.02883

zbMATH Keywords

Riemann-Hilbert problemToeplitz determinanttransition asymptoticsDeift-Zhou nonlinear steepest descent method.sine kernel determinant

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Exactly solvable models; Bethe ansatz (82B23) Asymptotic expansions of solutions to ordinary differential equations (34E05) Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain (34M50) Toeplitz, Cauchy, and related matrices (15B05)

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