Asymptotics of determinants of block Toeplitz matrices

DOI10.1142/S2010326317400032zbMath1502.15003OpenAlexW2755139226MaRDI QIDQ4595045

Estelle L. Basor

Publication date: 28 November 2017

Published in: Random Matrices: Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s2010326317400032

zbMATH Keywords

asymptoticsdeterminantblock Toeplitz matrix

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Random matrices (algebraic aspects) (15B52) Research exposition (monographs, survey articles) pertaining to linear algebra (15-02) Toeplitz, Cauchy, and related matrices (15B05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Loops in \(\mathrm{SU}(2)\), Riemann surfaces, and factorization. I.
• Asymptotic behavior of block Toeplitz matrices and determinants. II
• A Fredholm determinant formula for Toeplitz determinants
• On a Toeplitz determinant identity of Borodin and Okounkov
• Asymptotic behavior of block Toeplitz matrices and determinants
• Exact solution of the classical dimer model on a triangular lattice: monomer-monomer correlations
• Asymptotics of block Toeplitz determinants and the classical dimer model
• On the asymptotics of a Toeplitz determinant with singularities
• Advanced Statistical Mechanics
• Determinant computations for some classes of Toeplitz-Hankel matrices
• Statistical Mechanics of Dimers on a Plane Lattice. II. Dimer Correlations and Monomers
• One more proof of the Borodin-Okounkov formula for Toeplitz determinants

This page was built for publication: Asymptotics of determinants of block Toeplitz matrices