Overlaps and pathwise localization in the Anderson polymer model
نویسندگان
چکیده
منابع مشابه
Overlaps and Pathwise Localization in the Anderson Polymer Model
We consider large time behavior of typical paths under the Anderson polymer measure. If P x κ is the measure induced by rate κ, simple, symmetric random walk on Zd started at x, this measure is defined as dμκ,β,T (X) = Zκ,β,T (x) −1 exp { β ∫ T 0 dWX(s)(s) } dP x κ (X) where {Wx : x ∈ Zd} is a field of iid standard, one-dimensional Brownian motions, β > 0, κ > 0 and Zκ,β,t(x) the normalizing co...
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ژورنال
عنوان ژورنال: Stochastic Processes and their Applications
سال: 2013
ISSN: 0304-4149
DOI: 10.1016/j.spa.2013.02.010