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Shinoda, Uncountably many maximizing measures for a dense subset of con- tinuous functions.Nonlinearity31(5) (2018), 2192–2200

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Complete realization of multifractal entropy spectra

math.DS · 2026-05-20 · unverdicted · novelty 7.0

Proves complete realization of any suitable concave multifractal entropy spectrum by continuous potentials on systems with given topological entropy H, plus lower semicontinuity results and a pressure flexibility theorem answering Kucherenko-Quas.

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  • Complete realization of multifractal entropy spectra math.DS · 2026-05-20 · unverdicted · none · ref 52

    Proves complete realization of any suitable concave multifractal entropy spectrum by continuous potentials on systems with given topological entropy H, plus lower semicontinuity results and a pressure flexibility theorem answering Kucherenko-Quas.