scholarly journals Lyapunov Exponents and Large Deviations Analysis of Eigenfunctions in Anderson Models on Graphs

2013 ◽  
Vol 1 (3) ◽  
pp. 119-134
Author(s):  
VICTOR CHULAEVSKY
Keyword(s):  
Large Deviations ◽  
Lyapunov Exponents ◽  
Anderson Models

scholarly journals Weak specification properties and large deviations for non-additive potentials

2013 ◽  
Vol 35 (3) ◽  
pp. 968-993 ◽  
Author(s):  
PAULO VARANDAS ◽  
YUN ZHAO
Keyword(s):  
Dynamical Systems ◽  
Large Deviations ◽  
Lyapunov Exponents ◽  
Large Deviation Principle ◽  
Large Deviation ◽  
Deviation Principle ◽  
Hyperbolic Dynamical Systems

AbstractWe obtain large deviation bounds for the measure of deviation sets associated with asymptotically additive and sub-additive potentials under some weak specification properties. In particular, a large deviation principle is obtained in the case of uniformly hyperbolic dynamical systems. Some applications to the study of the convergence of Lyapunov exponents are given.

scholarly journals Large deviations of Lyapunov exponents

2013 ◽  
Vol 46 (25) ◽  
pp. 254002 ◽  
Author(s):  
Tanguy Laffargue ◽  
Khanh-Dang Nguyen Thu Lam ◽  
Jorge Kurchan ◽  
Julien Tailleur
Keyword(s):  
Large Deviations ◽  
Lyapunov Exponents

scholarly journals Positive Lyapunov exponents and a Large Deviation Theorem for continuum Anderson models, briefly

2019 ◽  
Vol 277 (9) ◽  
pp. 3179-3186 ◽  
Author(s):  
Valmir Bucaj ◽  
David Damanik ◽  
Jake Fillman ◽  
Vitaly Gerbuz ◽  
Tom VandenBoom ◽  
...  
Keyword(s):  
Lyapunov Exponents ◽  
Large Deviation ◽  
Large Deviation Theorem ◽  
Anderson Models

scholarly journals Lyapunov exponents for unitary Anderson models

2007 ◽  
Vol 48 (4) ◽  
pp. 043301 ◽  
Author(s):  
Eman Hamza ◽  
Günter Stolz
Keyword(s):  
Lyapunov Exponents ◽  
Anderson Models

scholarly journals Second order Lyapunov exponents for parabolic and hyperbolic Anderson models

Bernoulli ◽  
2019 ◽  
Vol 25 (4A) ◽  
pp. 3069-3089
Author(s):  
Raluca M. Balan ◽  
Jian Song
Keyword(s):  
Lyapunov Exponents ◽  
Second Order ◽  
Anderson Models

Lyapunov Exponents

2016 ◽  
Author(s):  
Arkady Pikovsky ◽  
Antonio Politi
Keyword(s):  
Lyapunov Exponents

EFFECTS OF TREND AND PERIODICITY ON THE CORRELATION DIMENSION AND THE LYAPUNOV EXPONENTS

2008 ◽  
Vol 18 (12) ◽  
pp. 3679-3687 ◽  
Author(s):  
AYDIN A. CECEN ◽  
CAHIT ERKAL
Keyword(s):  
Time Series ◽  
Lyapunov Exponent ◽  
Lyapunov Exponents ◽  
Correlation Dimension ◽  
Time Series Data ◽  
Logistic Map ◽  
Model Identification ◽  
Series Data ◽  
Largest Lyapunov Exponent ◽  
The Impact

We present a critical remark on the pitfalls of calculating the correlation dimension and the largest Lyapunov exponent from time series data when trend and periodicity exist. We consider a special case where a time series Zi can be expressed as the sum of two subsystems so that Zi = Xi + Yi and at least one of the subsystems is deterministic. We show that if the trend and periodicity are not properly removed, correlation dimension and Lyapunov exponent estimations yield misleading results, which can severely compromise the results of diagnostic tests and model identification. We also establish an analytic relationship between the largest Lyapunov exponents of the subsystems and that of the whole system. In addition, the impact of a periodic parameter perturbation on the Lyapunov exponent for the logistic map and the Lorenz system is discussed.

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