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Voltage Collapse and ODE Approach to Power Flows: Analysis of a Feeder Line with Static Disorder in Consumption/Production
ODE Voltage Collapse Feeder Line Power Flows Static Disorder
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2011/7/6
We consider a model of a distribution feeder connecting multiple loads to the sub-station. Voltage is controlled directly at the head of the line (sub-station), however, voltage anywhere further down ...
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 ...
Strong disorder in semidirected random polymers
Random walks random potential Lyapunov norms strong disorder lo-calization
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2010/12/6
We consider a random walk in a random potential, which models a situ-ation of a random polymer and we study the annealed and quenched costs to perform long crossings from a point to a hyperplane. Thes...
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...