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Scaling Limits of Disorder Relevant Non-Binary Spin Systems

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arxiv 2410.00579 v2 pith:L453GCQ2 submitted 2024-10-01 math.PR

Liuyan Li , Vlad Margarint , Rongfeng Sun This is my paper · ORCID
classification math.PR
keywords spinsystemscriteriadisorderlimitsnon-binaryrelevantvalued
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In [7], Caravenna, Sun and Zygouras gave general criteria for the partition functions of binary valued spin systems with a relevant random field perturbation to have non-trivial continuum and weak disorder limits. In this work, we show how these criteria can be extended to non-binary valued spin systems.

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  1. The Critical 2d Stochastic Heat Flow and Related Models

    math.PR 2024-12 conditional novelty 2.0 of 10

    Review of the proof that 2d directed polymer and stochastic heat equation partition functions converge, in a critical window, to a unique object called the critical 2d stochastic heat flow.

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