Weak disorder expansion of the invariant measure for the one-dimensional Anderson model

1988 ◽  
Vol 51 (3-4) ◽  
pp. 501-517 ◽  
Author(s):  
Anton Bovier ◽  
Abel Klein
Keyword(s):  
Invariant Measure ◽  
Anderson Model ◽  
Weak Disorder ◽  
One Dimensional ◽  
The One

scholarly journals Anomalies in the one-dimensional Anderson model at weak disorder

1990 ◽  
Vol 130 (3) ◽  
pp. 441-456 ◽  
Author(s):  
Massimo Campanino ◽  
Abel Klein
Keyword(s):  
Anderson Model ◽  
Weak Disorder ◽  
One Dimensional ◽  
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.

Localization behavior induced by asymmetric disorder for the one-dimensional Anderson model

2019 ◽  
Vol 100 (4) ◽  
Author(s):  
Delong Feng ◽  
Yang Cui ◽  
Kai Kang ◽  
Shaojing Qin ◽  
Chuilin Wang
Keyword(s):  
Anderson Model ◽  
One Dimensional ◽  
The One ◽  
Localization Behavior

scholarly journals Localization for the one-dimensional Anderson model via positivity and large deviations for the Lyapunov exponent

2019 ◽  
Vol 372 (5) ◽  
pp. 3619-3667 ◽  
Author(s):  
Valmir Bucaj ◽  
David Damanik ◽  
Jake Fillman ◽  
Vitaly Gerbuz ◽  
Tom VandenBoom ◽  
...  
Keyword(s):  
Lyapunov Exponent ◽  
Large Deviations ◽  
Anderson Model ◽  
One Dimensional ◽  
The One
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