Cantor Spectrum and KDS Eigenstates

2006 ◽  
Vol 267 (3) ◽  
pp. 735-740 ◽  
Author(s):  
Joaquim Puig
Keyword(s):  
Cantor Spectrum

scholarly journals The spectrum of a class of almost periodic operators

2003 ◽  
Vol 2003 (36) ◽  
pp. 2277-2301 ◽  
Author(s):  
Norbert Riedel
Keyword(s):  
Almost Periodic ◽  
Cantor Spectrum ◽  
Periodic Operators

For almost Mathieu operators, it is shown that the occurrence of Cantor spectrum and the existence, for every point in the spectrum and suitable phase parameters, of at least one localized eigenfunction which decays exponentially are inconsistent properties.

scholarly journals Cantor spectrum for the almost Mathieu equation

1982 ◽  
Vol 48 (3) ◽  
pp. 408-419 ◽  
Author(s):  
J Bellissard ◽  
B Simon
Keyword(s):  
Mathieu Equation ◽  
Cantor Spectrum

Metamorphosis of a Cantor spectrum due to classical chaos

1991 ◽  
Vol 67 (26) ◽  
pp. 3635-3638 ◽  
Author(s):  
T. Geisel ◽  
R. Ketzmerick ◽  
G. Petschel
Keyword(s):  
Classical Chaos ◽  
Cantor Spectrum

Discrete and Cantor Spectrum for Neumann Laplacians of Combs

1997 ◽  
Vol 188 (1) ◽  
pp. 141-168 ◽  
Author(s):  
Rainer Hempel ◽  
Thomas Kriecherbauer ◽  
Peter Plankensteiner
Keyword(s):  
Cantor Spectrum

scholarly journals Cantor spectrum for CMV and Jacobi matrices with coefficients arising from generalized skew-shifts

2021 ◽  
pp. 1-19
Author(s):  
HYUNKYU JUN
Keyword(s):  
Jacobi Matrices ◽  
Continuous Sampling ◽  
Uniform Hyperbolicity ◽  
Cantor Spectrum

Abstract We consider continuous cocycles arising from CMV and Jacobi matrices. Assuming that the Verblunsky and Jacobi coefficients arise from generalized skew-shifts, we prove that uniform hyperbolicity of the associated cocycles is $C^0$ -dense. This implies that the associated CMV and Jacobi matrices have a Cantor spectrum for a generic continuous sampling map.

scholarly journals Singular continuous Cantor spectrum for magnetic quantum walks

2020 ◽  
Vol 110 (6) ◽  
pp. 1141-1158
Author(s):  
C. Cedzich ◽  
J. Fillman ◽  
T. Geib ◽  
A. H. Werner
Keyword(s):  
Quantum Walks ◽  
Cantor Spectrum

scholarly journals Limit-periodic continuum Schrödinger operators with zero measure Cantor spectrum

2017 ◽  
Vol 7 (4) ◽  
pp. 1101-1118 ◽  
Author(s):  
David Damanik ◽  
Jake Fillman ◽  
Milivoje Lukic
Keyword(s):  
Schrödinger Operators ◽  
Schrodinger Operators ◽  
Zero Measure ◽  
Cantor Spectrum
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