scholarly journals Regularity of the invariant measure and of the density of states in the one-dimensional Anderson model

1990 ◽  
Vol 88 (1) ◽  
pp. 211-227 ◽  
Author(s):  
Abel Klein ◽  
Athanasios Speis
Keyword(s):  
Invariant Measure ◽  
Density Of States ◽  
Anderson Model ◽  
One Dimensional ◽  
The One

Spin-Wave Spectrum in the Sinusoidal Superlattice with Amplitude and Phase Inhomogeneities

2014 ◽  
Vol 215 ◽  
pp. 385-388
Author(s):  
Valter A. Ignatchenko ◽  
Denis S. Tsikalov
Keyword(s):  
Spin Wave ◽  
Density Of States ◽  
Wave Spectrum ◽  
The Self ◽  
One Dimensional ◽  
Consistent Approximation ◽  
Self Consistent ◽  
Greens Function ◽  
The One ◽  
Spin Wave Spectrum

Effects of both the phase and the amplitude inhomogeneities of different dimensionalities on the Greens function and on the one-dimensional density of states of spin waves in the sinusoidal superlattice have been studied. Processes of multiple scattering of waves from inhomogeneities have been taken into account in the self-consistent approximation.

Corrections to the one-dimensional density of states: Observation of a Coulomb gap?

1986 ◽  
Vol 56 (5) ◽  
pp. 532-535 ◽  
Author(s):  
Alice E. White ◽  
R. C. Dynes ◽  
J. P. Garno
Keyword(s):  
Density Of States ◽  
One Dimensional ◽  
Coulomb Gap ◽  
The One

A coupling of finite particle systems

1993 ◽  
Vol 30 (01) ◽  
pp. 258-262 ◽  
Author(s):  
T. S. Mountford
Keyword(s):  
Invariant Measure ◽  
Branching Process ◽  
Interacting Particle Systems ◽  
Particle Systems ◽  
Initial Configuration ◽  
Limit Measure ◽  
One Dimensional ◽  
Interacting Particle ◽  
The One ◽  
Finite Particle

We show that for a large class of one-dimensional interacting particle systems, with a finite initial configuration, any limit measure , for a sequence of times tending to infinity, must be invariant. This result is used to show that the one-dimensional biased annihilating branching process with parameter > 1/3 converges in distribution to the upper invariant measure provided its initial configuration is almost surely finite and non-null.

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