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The Renormalization Group as a Stochastic Exploration Process

math-ph · 2026-08-11 · conditional · novelty 3.0

RG transformations are conditional expectations with respect to a scale filtration, so the RG flow is a martingale exploration process, a viewpoint previously developed by Bauerschmidt and Bodineau and by the author and Bauer.

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  • The Renormalization Group as a Stochastic Exploration Process math-ph · 2026-08-11 · conditional · none · ref 8

    RG transformations are conditional expectations with respect to a scale filtration, so the RG flow is a martingale exploration process, a viewpoint previously developed by Bauerschmidt and Bodineau and by the author and Bauer.