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Preprint, (arXiv:2501.10949v2)

[GSZ25]Gao, Rui,Shen, Weixiao, andZhang, Ruiqin, Typicality of periodic optimization over an expanding circle map · arXiv 2501.10949

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Joint typical periodic optimization

math.DS · 2025-02-17 · unverdicted · novelty 7.0

Proves that for α-Hölder functions on Lipschitz expanding maps, Anosov diffeomorphisms, or beta-transformations, an open dense subset of pairs has unique maximizing measures supported on periodic orbits.

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  • Joint typical periodic optimization math.DS · 2025-02-17 · unverdicted · none · ref 9

    Proves that for α-Hölder functions on Lipschitz expanding maps, Anosov diffeomorphisms, or beta-transformations, an open dense subset of pairs has unique maximizing measures supported on periodic orbits.