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 scaling limit that is just a product of magnetization eigenstates.

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Publication Details

Journal
Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
Published
2025-04-01
DOI
https://doi.org/10.1098/rspa.2024.0774
Citations
1
Primary Topic
Complex Network Analysis Techniques
Type
article
Field-Weighted Citation Impact
1.32

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article

Universal scaling limits for spin networks via martingale methods

Simone Franchini
1 citations
Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
Complex Network Analysis Techniques
1.32
article

Universal scaling limits for spin networks via martingale methods

Simone Franchini
article en
1 citations

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.

Proceedings of the Royal Society A Mathematical Physical and Engineering SciencesVol. 481(2311)
Sapienza University of Rome (IT)
Horizon 2020 Framework Programme
Openalex Percentile: Top 21%
Complex Network Analysis Techniques
1.32
DOISourceOpenAlex
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Universal scaling limits for spin networks via martingale methods — Simone Franchini · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences (2025) | TGRS Research Map | TGRS