Jacobi matrices on trees generated by Angelesco systems: asymptotics of coefficients and essential spectrum

DOI10.4171/JST/380zbMath1501.47050arXiv2004.04113OpenAlexW3209774806MaRDI QIDQ2078939

Maxim L. Yattselev, Sergey A. Denisov, Alexander I. Aptekarev

Publication date: 4 March 2022

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.04113

zbMATH Keywords

essential spectrummultiple orthogonal polynomialsAngelesco systemsJacobi matrices on trees

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Spectrum, resolvent (47A10) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (2)

Spectral theory for bounded banded matrices with positive bidiagonal factorization and mixed multiple orthogonal polynomials ⋮ Spectral theory of Jacobi matrices on trees whose coefficients are generated by multiple orthogonality

Uses Software

• DLMF

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Absolutely continuous spectrum for random operators on trees of finite cone type
• \(C^*\)-algebras of anisotropic Schrödinger operators on trees
• Nearest neighbor recurrence relations for multiple orthogonal polynomials
• Transfer matrices, hyperbolic geometry and absolutely continuous spectrum for some discrete Schrödinger operators on graphs
• Algebraic equations for Green kernel on a tree
• On convergence of simultaneous Padé approximants for systems of functions of Markov type
• Asymptotics of Hermite-Padé polynomials for a set of functions with different branch points
• Discrete Painlevé equations and their appearance in quantum gravity
• The isomonodromy approach to matrix models in 2D quantum gravity
• Extended states in the Anderson model on the Bethe lattice
• On the essential spectrum of Schrödinger operators on trees
• NIST digital library of mathematical functions
• The Riemann--Hilbert approach to strong asymptotics for orthogonal polynomials on [-1,1]
• On the spectral theory of trees with finite cone type
• A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
• On the preservation of absolutely continuous spectrum for Schrödinger operators
• On the limit behavior of recurrence coefficients for multiple orthogonal polynomials
• Isometries, Fock spaces, and spectral analysis of Schrödinger operators on trees
• A MOURRE ESTIMATE FOR A SCHRÖDINGER OPERATOR ON A BINARY TREE
• Discrete integrable systems generated by Hermite-Padé approximants
• Strong Asymptotics of Hermite-Padé Approximants for Angelesco Systems
• Convergent Interpolation to Cauchy Integrals over Analytic Arcs with Jacobi-Type Weights
• Painlevé XXXIV Asymptotics of Orthogonal Polynomials for the Gaussian Weight with a Jump at the Edge
• Critical Edge Behavior in Unitary Random Matrix Ensembles and the Thirty-Fourth Painlevé Transcendent
• Systems of Markov functions generated by graphs and the asymptotics of their Hermite-Padé approximants
• Unbounded Laplacians on Graphs: Basic Spectral Properties and the Heat Equation
• Asymptotics for a special solution of the thirty fourth Painlevé equation
• SINGULAR SPECTRUM FOR RADIAL TREES
• ON A CLASS OF POLYNOMIALS DEFINED BY TWO ORTHOGONALITY RELATIONS
• Self-adjoint Jacobi matrices on trees and multiple orthogonal polynomials
• Convergence of ray sequences of Frobenius-Padé approximants

This page was built for publication: Jacobi matrices on trees generated by Angelesco systems: asymptotics of coefficients and essential spectrum