scholarly journals Coincidence of Lyapunov exponents for random walks in weak random potentials

2008 ◽  
Vol 36 (4) ◽  
pp. 1528-1583 ◽  
Author(s):  
Markus Flury
Keyword(s):  
Random Walks ◽  
Lyapunov Exponents ◽  
Random Potentials

scholarly journals Quenched Free Energy and Large Deviations for Random Walks in Random Potentials

2012 ◽  
Vol 66 (2) ◽  
pp. 202-244 ◽  
Author(s):  
Firas Rassoul-Agha ◽  
Timo Seppäläinen ◽  
Atilla Yilmaz
Keyword(s):  
Free Energy ◽  
Large Deviations ◽  
Random Walks ◽  
Random Potentials

scholarly journals Variational formulas and disorder regimes of random walks in random potentials

Bernoulli ◽  
2017 ◽  
Vol 23 (1) ◽  
pp. 405-431 ◽  
Author(s):  
Firas Rassoul-Agha ◽  
Timo Seppäläinen ◽  
Atilla Yilmaz
Keyword(s):  
Random Walks ◽  
Random Potentials ◽  
Variational Formulas

scholarly journals Lyapunov exponents of Green’s functions for random potentials tending to zero

2010 ◽  
Vol 150 (1-2) ◽  
pp. 43-59 ◽  
Author(s):  
Elena Kosygina ◽  
Thomas S. Mountford ◽  
Martin P. W. Zerner
Keyword(s):  
Lyapunov Exponents ◽  
Green's Functions ◽  
Green’S Functions ◽  
Random Potentials

scholarly journals C1-generic symplectic diffeomorphisms: partial hyperbolicity and zero centre Lyapunov exponents

2009 ◽  
Vol 9 (1) ◽  
pp. 49-93 ◽  
Author(s):  
Jairo Bochi
Keyword(s):  
Random Walks ◽  
Lyapunov Exponents ◽  
Probabilistic Method ◽  
International Congress ◽  
Partial Hyperbolicity ◽  
Symplectic Diffeomorphisms ◽  
Symplectic Diffeomorphism ◽  
Partially Hyperbolic

AbstractWe prove that if f is a C1-generic symplectic diffeomorphism then the Oseledets splitting along almost every orbit is either trivial or partially hyperbolic. In addition, if f is not Anosov then all the exponents in the centre bundle vanish. This establishes in full a result announced by Mañé at the International Congress of Mathematicians in 1983. The main technical novelty is a probabilistic method for the construction of perturbations, using random walks.

scholarly journals Quenched point-to-point free energy for random walks in random potentials

2013 ◽  
Vol 158 (3-4) ◽  
pp. 711-750 ◽  
Author(s):  
Firas Rassoul-Agha ◽  
Timo Seppäläinen
Keyword(s):  
Free Energy ◽  
Random Walks ◽  
Random Potentials ◽  
Point To Point

Conditions for soliton trapping in random potentials using Lyapunov exponents of stochastic ODEs

2000 ◽  
Vol 271 (5-6) ◽  
pp. 334-340 ◽  
Author(s):  
A.N Yannacopoulos ◽  
D.J Frantzeskakis ◽  
C Polymilis ◽  
K Hizanidis
Keyword(s):  
Lyapunov Exponents ◽  
Random Potentials ◽  
Stochastic Odes
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