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arXiv · 1907.03847

Spin Distributions for Generic Spherical Spin Glasses

Arka Adhikari
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Abstract

This paper investigates p-spin distributions for a generic spherical p-spin model; we give a representation of spin distributions in terms of a stochastic process. In order to do this, we find a novel double limit scheme that allows us to treat the sphere as a product space and perform cavity computations. The decomposition into a product space involves the creation of a renormalized sphere, whose scale $R$ will be taken to infinity.

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Arka Adhikari. 2019-07-08. Spin Distributions for Generic Spherical Spin Glasses. https://arxiv.org/abs/1907.03847

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