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Scaling Limits of Disorder Relevant Non-Binary Spin Systems

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abstract

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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math.PR 1

years

2024 1

verdicts

CONDITIONAL 1

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The Critical 2d Stochastic Heat Flow and Related Models

math.PR · 2024-12-13 · conditional · novelty 2.0

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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  • The Critical 2d Stochastic Heat Flow and Related Models math.PR · 2024-12-13 · conditional · none · ref 2010 · internal anchor

    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.