3 papers
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…
math.PR2008
Large Deviations of the Front in a one dimensional model of
Jean Bérard, Alejandro Ramírez
We investigate the probabilities of large deviations for the position of the front in a stochastic model of the reaction on the integer lattice in which particles…
math.PR2007
Central Limit Theorem for the Excited Random Walk in dimension
Jean Bérard, Alejandro Ramírez
We prove that a law of large numbers and a central limit theorem hold for the excited random walk model in every dimension .