Random Walks on Amalgams.
Wolfgang Woess, Massimo Picardello (1985)
Monatshefte für Mathematik
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Wolfgang Woess, Massimo Picardello (1985)
Monatshefte für Mathematik
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N. Zygouras (2013)
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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.
I. Kopocińska, B. Kopociński (1987)
Applicationes Mathematicae
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Göran Högnäs (1978)
Monatshefte für Mathematik
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R. Kaufman (1970)
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