scholarly journals Self-adjoint Jacobi matrices on trees and multiple orthogonal polynomials

2019 ◽  
Vol 373 (2) ◽  
pp. 875-917 ◽  
Author(s):  
Alexander I. Aptekarev ◽  
Sergey A. Denisov ◽  
Maxim L. Yattselev
Keyword(s):  
Orthogonal Polynomials ◽  
Jacobi Matrices ◽  
Multiple Orthogonal Polynomials

On Spectrum of a Class of Jacobi Matrices on Graph-Trees and Multiple Orthogonal Polynomials

2021 ◽  
pp. 17-24
Author(s):  
Alexander I. Aptekarev ◽  
Sergey A. Denisov ◽  
Maxim L. Yattselev
Keyword(s):  
Orthogonal Polynomials ◽  
Jacobi Matrices ◽  
Multiple Orthogonal Polynomials

scholarly journals Selfadjoint Jacobi matrices on graphs and multiple orthogonal polynomials

2018 ◽  
pp. 1-27
Author(s):  
Alexander Ivanovich Aptekarev ◽  
Sergey Aleksandrovich Denisov ◽  
Maxim Leonidovich Yattselev
Keyword(s):  
Orthogonal Polynomials ◽  
Jacobi Matrices ◽  
Multiple Orthogonal Polynomials

scholarly journals Strong asymptotics for the Pollaczek multiple orthogonal polynomials

2015 ◽  
Vol 92 (3) ◽  
pp. 709-713
Author(s):  
A. I. Aptekarev ◽  
G. López Lagomasino ◽  
A. Martínez-Finkelshtein
Keyword(s):  
Orthogonal Polynomials ◽  
Strong Asymptotics ◽  
Multiple Orthogonal Polynomials

Multiple Orthogonal Polynomials on the Unit Circle

2007 ◽  
Vol 28 (2) ◽  
pp. 173-197 ◽  
Author(s):  
Judit Minguez Ceniceros ◽  
Walter Van Assche
Keyword(s):  
Orthogonal Polynomials ◽  
Unit Circle ◽  
Multiple Orthogonal Polynomials

Continuity of the Lyapunov exponent for analytic quasiperiodic cocycles

2009 ◽  
Vol 29 (6) ◽  
pp. 1881-1905 ◽  
Author(s):  
S. JITOMIRSKAYA ◽  
D. A. KOSLOVER ◽  
M. S. SCHULTEIS
Keyword(s):  
Lyapunov Exponent ◽  
Orthogonal Polynomials ◽  
Unit Circle ◽  
Quantum Dynamics ◽  
Jacobi Matrices

AbstractIt is known that the Lyapunov exponent is not continuous at certain points in the space of continuous quasiperiodic cocycles. In this paper we show that it is continuous in the analytic category. Our corollaries include continuity of the Lyapunov exponent associated with general quasiperiodic Jacobi matrices or orthogonal polynomials on the unit circle, in various parameters, and applications to the study of quantum dynamics.

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