In the infinite-dimensional limit the elastic polymer free energy is given explicitly by the law of the inner product of two independent paths; the model is diffusive for short-range or weak correlations and superdiffusive for strong long-range correlations, with the transition coinciding exactly to
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Wandering Exponents and the Free Energy of the High-Dimensional Elastic Polymer
In the infinite-dimensional limit the elastic polymer free energy is given explicitly by the law of the inner product of two independent paths; the model is diffusive for short-range or weak correlations and superdiffusive for strong long-range correlations, with the transition coinciding exactly to