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math.AP 1

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2026 1

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An autonomous Lipschitz fast dynamo on the three-torus

math.AP · 2026-08-03 · accept · novelty 8.0

One fixed Lipschitz, divergence-free, autonomous velocity field on the flat three-torus is a fast dynamo: for every small diffusivity an amplifying magnetic eigenmode exists with uniformly positive growth, while the particle flow has zero topological entropy.

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  • An autonomous Lipschitz fast dynamo on the three-torus math.AP · 2026-08-03 · accept · none · ref 7

    One fixed Lipschitz, divergence-free, autonomous velocity field on the flat three-torus is a fast dynamo: for every small diffusivity an amplifying magnetic eigenmode exists with uniformly positive growth, while the particle flow has zero topological entropy.