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math.PR2009★ 1 cited
Ballisticity conditions for random walk in random environment
Alexander Drewitz, Alejandro F. Ramírez
Consider a random walk in a uniformly elliptic i.i.d. random environment in dimensions . In 2002, Sznitman introduced for each the ballisticity conditions $(T)…
math.PR2009
Asymptotic directions in random walks in random environment revisited
Alexander Drewitz, Alejandro F. Ramírez
Recently Simenhaus proved that for any elliptic random walk in random environment, transience in the neighborhood of a given direction is equivalent to the a.s. existence of a dete…