scholarly journals On the continuity of Lyapunov exponents of random walk in random potential

Bernoulli ◽  
2017 ◽  
Vol 23 (1) ◽  
pp. 522-538 ◽  
Author(s):  
Le Thi Thu Hien
Keyword(s):  
Random Walk ◽  
Lyapunov Exponents ◽  
Random Potential

On the Scaling Function of Lyapunov Exponents for Intermittent Maps

1993 ◽  
Vol 48 (5-6) ◽  
pp. 641-642
Author(s):  
R. Stoop ◽  
J. Parisi
Keyword(s):  
Random Walk ◽  
Lyapunov Exponents ◽  
Finite Time ◽  
Scaling Function ◽  
External Parameter ◽  
Scaling Properties ◽  
Finite Time Lyapunov Exponents ◽  
Gaussian Fluctuations ◽  
Non Gaussian ◽  
The Scaling Function

Abstract The scaling function of Lyapunov exponents for intermittent systems is full of particularities if compared with hyperbolic cases or the usual, nonhyperbolic, parabola. One particularity arises when this function is calculated from finite-time Lyapunov exponents: Different scaling properties with respect to the length of the finite-time chains emerge. As expected from random walk models, the scaling of an ensemble with non-Gaussian fluctuations evolves for certain values of the external parameter.

A Random Walk with Random Potential

1994 ◽  
Vol 38 (2) ◽  
pp. 382-385 ◽  
Author(s):  
Ya. G. Sinai
Keyword(s):  
Random Walk ◽  
Random Potential

scholarly journals Localization for a Random Walk in Slowly Decreasing Random Potential

2012 ◽  
Vol 150 (2) ◽  
pp. 285-298 ◽  
Author(s):  
Christophe Gallesco ◽  
Serguei Popov ◽  
Gunter M. Schütz
Keyword(s):  
Random Walk ◽  
Random Potential
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