Displaying similar documents to “A Green's Function for Non-Homogegeous Random Walks on Free Products.”

Asymptotics for Products of a Random Number of Partial Sums

Marcin Przystalski (2009)

Bulletin of the Polish Academy of Sciences. Mathematics

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We consider products of a random number of partial sums of independent, identically distributed, positive square-integrable random variables. We show that the distribution of these products is asymptotically lognormal.

Strong disorder in semidirected random polymers

N. Zygouras (2013)

Annales de l'I.H.P. Probabilités et statistiques

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We consider a random walk in a random potential, which models a situation of a random polymer and we study the annealed and quenched costs to perform long crossings from a point to a hyperplane. These costs are measured by the so called Lyapounov norms. We identify situations where the point-to-hyperplane annealed and quenched Lyapounov norms are different. We also prove that in these cases the polymer path exhibits localization.