An example concerning the geometric significance of the rotation number — integrated density of states

1986 ◽  
pp. 216-226 ◽  
Author(s):  
Russell A. Johnson
Keyword(s):  
Density Of States ◽  
Rotation Number ◽  
Integrated Density Of States

scholarly journals H�lder Equicontinuity of the Integrated Density of States at Weak Disorder

2004 ◽  
Vol 70 (3) ◽  
pp. 195-209 ◽  
Author(s):  
Jeffrey H. Schenker
Keyword(s):  
Density Of States ◽  
Integrated Density Of States ◽  
Weak Disorder

scholarly journals The landscape law for the integrated density of states

2021 ◽  
Vol 390 ◽  
pp. 107946
Author(s):  
G. David ◽  
M. Filoche ◽  
S. Mayboroda
Keyword(s):  
Density Of States ◽  
Integrated Density Of States

GAP-LABELING PROPERTIES OF THE ENERGY SPECTRUM FOR TWO-DIMENSIONAL FIBONACCI QUASILATTICES

1995 ◽  
Vol 09 (01) ◽  
pp. 55-66
Author(s):  
YOUYAN LIU ◽  
WICHIT SRITRAKOOL ◽  
XIUJUN FU
Keyword(s):  
Energy Spectrum ◽  
Density Of States ◽  
Energy Gap ◽  
Fractional Part ◽  
Numerical Results ◽  
Step Height ◽  
Integrated Density Of States ◽  
Two Dimensional

We have analytically obtained the occupation probabilities on subbands of the hierarchical energy spectrum and the step heights of the integrated density of states for two-dimensional Fibonacci quasilattices. Based on the above results, the gap-labeling properties of the energy spectrum are found, which claim that the step height is equal to {mτ}, where the braces denote the fractional part, and m is an integer that can be used to label the corresponding energy gap. Numerical results confirm these results very well.

scholarly journals Hölder continuity of the integrated density of states for quasi-periodic Jacobi operators

2017 ◽  
Vol 7 (2) ◽  
pp. 361-386 ◽  
Author(s):  
Kai Tao ◽  
Mircea Voda
Keyword(s):  
Density Of States ◽  
Hölder Continuity ◽  
Integrated Density Of States ◽  
Holder Continuity ◽  
Jacobi Operators

The Integrated Density of States

1990 ◽  
pp. 299-357
Author(s):  
René Carmona ◽  
Jean Lacroix
Keyword(s):  
Density Of States ◽  
Integrated Density Of States

scholarly journals Hölder Continuity of the Integrated Density of States for the Fibonacci Hamiltonian

2013 ◽  
Vol 323 (2) ◽  
pp. 497-515 ◽  
Author(s):  
David Damanik ◽  
Anton Gorodetski
Keyword(s):  
Density Of States ◽  
Hölder Continuity ◽  
Integrated Density Of States ◽  
Holder Continuity

The Wegner estimate and the integrated density of states for some random operators

2002 ◽  
Vol 112 (1) ◽  
pp. 31-53 ◽  
Author(s):  
J. M. Combes ◽  
P. D. Hislop ◽  
Frédéric Klopp ◽  
Shu Nakamura
Keyword(s):  
Density Of States ◽  
Integrated Density Of States ◽  
Random Operators ◽  
Wegner Estimate
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