Results 11 to 20 of about 1,081,230 (234)
Asymptotics for Toeplitz determinants: Perturbation of symbols with a gap [PDF]
Journal of Mathematical Physics, 2015 We study the determinants of Toeplitz matrices as the size of the matrices tends to infinity, in the particular case where the symbol has two jump discontinuities and tends to zero on an arc of the unit circle at a sufficiently fast rate. We generalize an asymptotic expansion by Widom [Indiana Univ. Math. J.
Christophe Charlier +1 more
exaly +7 more sources
Toeplitz determinants with merging singularities [PDF]
Duke Mathematical Journal, 2015 We study asymptotic behavior for determinants of $n\times n$ Toeplitz matrices corresponding to symbols with two Fisher-Hartwig singularities at the distance $2t\ge0$ from each other on the unit circle.
I Krasovsky
exaly +8 more sources
Asymptotics of block Toeplitz determinants with piecewise continuous symbols [PDF]
Communications on Pure and Applied Mathematics, 2023 We determine the asymptotics of the block Toeplitz determinants detTn(ϕ)$\det T_n(\phi)$ as n→∞$n\rightarrow \infty$ for N×N$N\times N$ matrix‐valued piecewise continuous functions ϕ$\phi$ with a finitely many jumps under mild additional conditions.
E. Basor +2 more
semanticscholar +7 more sources
Strong Szegő Limit Theorems for Multi-Bordered, Framed, and Multi-Framed Toeplitz Determinants [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2023 This work provides the general framework for obtaining strong Szegő limit theorems for multi-bordered, semi-framed, framed, and multi-framed Toeplitz determinants, extending the results of Basor et al.
R. Gharakhloo
semanticscholar +4 more sources
Aspects of Toeplitz Determinants [PDF]
, 2011 We review the asymptotic behavior of a class of Toeplitz (as well as related Hankel and Toeplitz + Hankel) determinants which arise in integrable models and other contexts. We discuss Szego, Fisher-Hartwig asymptotics, and how a transition between them is related to the Painleve V equation.
Igor Krasovsky, Krasovsky, Igor
openaire +5 more sources
Analytic determinants and inverses of Toeplitz and Hankel tridiagonal matrices with perturbed columns [PDF]
Special Matrices, 2020 In this paper, our main attention is paid to calculate the determinants and inverses of two types Toeplitz and Hankel tridiagonal matrices with perturbed columns.
Fu Yaru +3 more
doaj +2 more sources
Hermitian Toeplitz determinants for the class S of univalent functions [PDF]
Armenian Journal of Mathematics, 2021 Introducing a new method, we give sharp estimates of the Hermitian Toeplitz determinants of third order for the class S of functions univalent in the unit disc. The new approach is also illustrated on some subclasses of the class S.
M. Obradovic, N. Tuneski
semanticscholar +3 more sources
Emergence of a singularity for Toeplitz determinants and Painlevé V [PDF]
Duke Mathematical Journal, 2011 We obtain asymptotic expansions for Toeplitz determinants corresponding to a family of symbols depending on a parameter $t$. For $t$ positive, the symbols are regular so that the determinants obey Szegő's strong limit theorem. If $t=0$, the symbol possesses a Fisher-Hartwig singularity.
Claeys, T, Its, A, Krasovsky, I
openaire +8 more sources
Recursion Relation for Toeplitz Determinants and the Discrete Painlevé II Hierarchy [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2022 Solutions of the discrete Painlevé II hierarchy are shown to be in relation with a family of Toeplitz determinants describing certain quantities in multicritical random partitions models, for which the limiting behavior has been recently considered in ...
Thomas Chouteau, Sofia Tarricone
semanticscholar +4 more sources
Symmetric Toeplitz Determinants for Classes Defined by Post Quantum Operators Subordinated to the Limaçon Function [PDF]
Studia Universitatis Babeş-Bolyai. MathematicaThe present extensive study is focused to find estimates for the upper bounds of the Toeplitz determinants. The logarithmic coefficients of univalent functions play an important role in different estimates in the theory of univalent functions, and in the
Vijayalakshmi Sangarambadi Padmanabhan +2 more
semanticscholar +3 more sources