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Universal scaling limits for spin networks via martingale methods

We use simple martingale methods to construct a large deviation theory of spin systems with pairwise interactions. As an application, we show that the fully connected case obeys a universal… Click to show full abstract

We use simple martingale methods to construct a large deviation theory of spin systems with pairwise interactions. As an application, we show that the fully connected case obeys a universal scaling limit that is just a product of magnetization eigenstates.

Keywords: scaling limits; martingale methods; spin networks; networks via; limits spin; universal scaling

Journal Title: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Year Published: 2024

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