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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An asymptotic formula for the free energy of the SK model with general sparse variance profile is derived at high temperature, along with an AMP algorithm for its TAP equations.
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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
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The SK model with a sparse variance profile: free energy and AMP algorithm for TAP equations at high temperature
An asymptotic formula for the free energy of the SK model with general sparse variance profile is derived at high temperature, along with an AMP algorithm for its TAP equations.