# Spin Distributions for Generic Spherical Spin Glasses

## TL;DR

This paper develops a new representation of spin distributions in spherical p-spin models using a stochastic process and introduces a novel double limit scheme involving a renormalized sphere.

## Contribution

It presents a novel double limit scheme and a stochastic process representation for spin distributions in spherical p-spin glasses, advancing theoretical understanding.

## Key findings

- Representation of spin distributions via stochastic processes
- Introduction of a double limit scheme for analysis
- Use of a renormalized sphere in the model

## 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.