On the zeroes of some random functions
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R. Kaufman (1970)
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W. Dziubdziela (1976)
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I. Deák (1980)
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Agnieszka Jurlewicz
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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.
S. K. Srinivasan, K. S. S. Iyer (1965)
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