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Lyapunov Exponents of Random Walks in Small Random Potential: The Lower Bound

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Academic year: 2021

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Figure

Fig. 1. On this two-dimensional drawing, a box of size r β contains 9 boxes of size r β
Fig. 2. The trajectory of the random walk is represented by the orange path. Only important sites in I ∩ D ( S 0 , R β − r β )\ D ( S 0 , ε 1 r β ) are depicted
Fig. 3. Orange dots represent the coarse-grained trajectory Y 0 , Y 1 , . . . , up to the moment when the coarse- coarse-grained trajectory is within distance R β from the target hyperplane (depicted as a thick line)

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