Spectral theory of one-dimensional Schr�dinger operators with strongly fluctuating potentials

1991 ◽  
Vol 25 (3) ◽  
pp. 236-238 ◽  
Author(s):  
A. Ya. Gordon ◽  
S. A. Molchanov ◽  
B. Tsagani
Keyword(s):  
Spectral Theory ◽  
One Dimensional

COMBINATORIAL PROPERTIES OF ARNOUX–RAUZY SUBSHIFTS AND APPLICATIONS TO SCHRÖDINGER OPERATORS

2003 ◽  
Vol 15 (07) ◽  
pp. 745-763 ◽  
Author(s):  
D. DAMANIK ◽  
LUCA Q. ZAMBONI
Keyword(s):  
Spectral Theory ◽  
Schrödinger Operators ◽  
Schrodinger Operators ◽  
Maximal Power ◽  
One Dimensional ◽  
Combinatorial Properties

We consider Arnoux–Rauzy subshifts X and study various combinatorial questions: When is X linearly recurrent? What is the maximal power occurring in X? What is the number of palindromes of a given length occurring in X? We present applications of our combinatorial results to the spectral theory of discrete one-dimensional Schrödinger operators with potentials given by Arnoux–Rauzy sequences.

Dynamics of Cocycles and One-Dimensional Spectral Theory

2005 ◽  
pp. 2933-2978
Author(s):  
David Damanik ◽  
Russell Johnson ◽  
Daniel Lenz
Keyword(s):  
Spectral Theory ◽  
One Dimensional
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