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Undirected Polymers in Random Environment: path properties in the mean field limit

2022
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Latin American Journal of Probability and Mathematical Statistics
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We consider the problem of undirected polymers (tied at the endpoints) in random environment, also known as the unoriented first passage percolation on the hypercube, in the limit of large dimensions. By means of the multiscale refinement of the second moment method we obtain a fairly precise geometrical description of optimal paths, i.e. of polymers with minimal energy. We give the distribution of the backsteps as a function of the Hamming distance from the origin. The picture which emerges

doi:10.30757/alea.v19-61
fatcat:4vbzg5ywyrftfb4vfc5y2fgw5y