Spectral Multiplicity of General Automata

Author(s):  
Martine Queffélec
1991 ◽  
Vol 85 (2) ◽  
pp. 145-160 ◽  
Author(s):  
Floyd L Williams

2013 ◽  
Vol 46 (10) ◽  
pp. 2819-2829 ◽  
Author(s):  
Wei Feng ◽  
Zhi-Qiang Liu ◽  
Liang Wan ◽  
Chi-Man Pun ◽  
Jianmin Jiang

1992 ◽  
Vol 332 (2) ◽  
pp. 875
Author(s):  
Jonathan Huntley

2020 ◽  
Vol 32 (09) ◽  
pp. 2050025
Author(s):  
Anish Mallick ◽  
Krishna Maddaly

In this paper, we consider Anderson type operators on a separable Hilbert space where the random perturbations are finite rank and the random variables have full support on [Formula: see text]. We show that spectral multiplicity has a uniform lower bound whenever the lower bound is given on a set of positive Lebesgue measure on the point spectrum away from the continuous one. We also show a deep connection between the multiplicity of pure point spectrum and local spectral statistics, in particular, we show that spectral multiplicity higher than one always gives non-Poisson local statistics in the framework of Minami theory. In particular, for higher rank Anderson models with pure point spectrum, with the randomness having support equal to [Formula: see text], there is a uniform lower bound on spectral multiplicity and in case this is larger than one, the local statistics is not Poisson.


1992 ◽  
Vol 102 (2) ◽  
pp. 121-144 ◽  
Author(s):  
Sébastien Ferenczi

Filomat ◽  
2013 ◽  
Vol 27 (8) ◽  
pp. 1455-1461 ◽  
Author(s):  
Aleksandra Eric ◽  
Fonseca da

Sign in / Sign up

Export Citation Format

Share Document