Matrix models for classical groups and Toeplitz$\pm $Hankel minors with applications to Chern-Simons theory and fermionic models [PDF]
, 2020 We study matrix integration over the classical Lie groups $U(N),Sp(2N),O(2N)$ and $O(2N+1)$, using symmetric function theory and the equivalent formulation in terms of determinants and minors of Toeplitz$\pm$Hankel matrices.
García-García, David, Tierz, Miguel
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Toeplitz minors and specializations of skew Schur polynomials [PDF]
, 2020 We express minors of Toeplitz matrices of finite and large dimension in terms of symmetric functions. Comparing the resulting expressions with the inverses of some Toeplitz matrices, we obtain explicit formulas for a Selberg-Morris integral and for ...
García-García, David, Tierz, Miguel
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Positive Definiteness and Semi-Definiteness of Even Order Symmetric Cauchy Tensors [PDF]
, 2014 Motivated by symmetric Cauchy matrices, we define symmetric Cauchy tensors and their generating vectors in this paper. Hilbert tensors are symmetric Cauchy tensors.
Chen, Haibin, Qi, Liqun
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Recent progress on truncated Toeplitz operators [PDF]
, 2012 This paper is a survey on the emerging theory of truncated Toeplitz operators. We begin with a brief introduction to the subject and then highlight the many recent developments in the field since Sarason's seminal paper in 2007.Comment: 46 ...
Garcia, Stephan Ramon, Ross, William T.
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Spatial isomorphisms of algebras of truncated Toeplitz operators [PDF]
, 2010 We examine when two maximal abelian algebras in the truncated Toeplitz operators are spatially isomorphic. This builds upon recent work of N. Sedlock, who obtained a complete description of the maximal algebras of truncated Toeplitz operators.Comment: 24
Garcia, Stephan Ramon +2 more
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Some weighted estimates for the dbar- equation and a finite rank theorem for Toeplitz operators in the Fock space [PDF]
, 2013 We consider the $\dbar-$ equation in $\C^1$ in classes of functions with Gaussian decay at infinity. We prove that if the right-hand side of the equation is majorated by $\exp(-q|z|^2)$, with some positive $q$, together with derivatives up to some order,
Rozenblum, Grigori, Shirokov, Nikolay
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Quasi-nilpotency of generalized Volterra operators on sequence spaces
, 2021 We study the quasi-nilpotency of generalized Volterra operators on spaces of power series with Taylor coefficients in weighted $\ell^p$ spaces ...
Chalmoukis, Nikolaos +1 more
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On Functions of quasi Toeplitz matrices
, 2016 Let $a(z)=\sum_{i\in\mathbb Z}a_iz^i$ be a complex valued continuous function, defined for $|z|=1$, such that $\sum_{i=-\infty}^{+\infty}|ia_i|
Bini, Dario A. +2 more
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Pricing Bermudan options under local L\'evy models with default [PDF]
, 2016 We consider a defaultable asset whose risk-neutral pricing dynamics are described by an exponential L\'evy-type martingale. This class of models allows for a local volatility, local default intensity and a locally dependent L\'evy measure.
Borovykh, Anastasia +2 more
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On the Distributions of the Lengths of the Longest Monotone Subsequences in Random Words
, 1999 We consider the distributions of the lengths of the longest weakly increasing and strongly decreasing subsequences in words of length N from an alphabet of k letters.
Tracy, Craig A., Widom, Harold
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