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Two Pinning Models with Markov disorder
pinning models statistical mechanics polymers
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2011/2/21
Disordered pinning models deal with the (de)localization tran-sition of a polymer in interaction with a heterogeneous interface. In this paper, we focus on two models where the inhomogeneities at the ...
Weak disorder in the stochastic mean-field model of distance II
First passage percolation complete graph extreme value theory hopcount
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2010/12/9
In this paper, we study the complete graph Kn with n vertices, where we attach an i.i.d. weight to each of the n(n − 1)/2 edges. We focus on the weight Wn and the number of edges Hn of the minim...