Discrete Schrödinger operator on a tree, Angelesco potentials, and their perturbations
DOI10.1134/S0081543820060012zbMath1458.39015OpenAlexW3128549966MaRDI QIDQ2227079
Maxim L. Yattselev, Sergey A. Denisov, Alexander I. Aptekarev
Publication date: 9 February 2021
Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0081543820060012
discrete Schrödinger operatorsmultiple orthogonal polynomialsAngelesco systemshomogeneous rooted tree
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Discrete version of topics in analysis (39A12) Difference operators (39A70) Dynamical systems involving maps of trees and graphs (37E25)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Absolutely continuous spectrum for random operators on trees of finite cone type
- Nearest neighbor recurrence relations for multiple orthogonal polynomials
- On convergence of simultaneous Padé approximants for systems of functions of Markov type
- Discrete magnetic Laplacian
- Trace formulas for a discrete Schrödinger operator
- On the essential spectrum of Schrödinger operators on trees
- Differential equations for the recurrence coefficients limits for multiple orthogonal polynomials from a Nevai class
- 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
- SINGULAR SPECTRUM FOR RADIAL TREES
- ON THE ASYMPTOTICS OF THE RATIO OF ORTHOGONAL POLYNOMIALS. II
- ON THE ASYMPTOTICS OF THE RATIO OF ORTHOGONAL POLYNOMIALS
- On Rakhmanov’s theorem for Jacobi matrices
- ASYMPTOTICS OF SIMULTANEOUSLY ORTHOGONAL POLYNOMIALS IN THE ANGELESCO CASE
- Asymptotics and estimates for the discrete spectrum of the Schrödinger operator on a discrete periodic graph
- On 2D discrete Schrödinger operators associated with multiple orthogonal polynomials
- Self-adjoint Jacobi matrices on trees and multiple orthogonal polynomials
- The essential spectrum of Schrödinger operators on lattices
This page was built for publication: Discrete Schrödinger operator on a tree, Angelesco potentials, and their perturbations