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Variational formulas and disorder regimes of random walks in random potentials

Koc University Digital Collections · Papers
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diffusionfree-energyhomogenizationlocalizationstatistics-and-probability
We give two variational formulas (qVar1) and (qVar2) for the quenched free energy of a random walk in random potential (RWRP) when (i) the underlying walk is directed or undirected, (ii) the environment is stationary and ergodic, and (iii) the potential is allowed to depend on the next step of the w
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