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On the multivariate multifractal formalism: examples and counter-examples

math.MG · 2024-11-21 · accept · novelty 7.0

For pairs of measures, the Legendre transform of the bivariate Lq-spectrum can be completely irrelevant as an upper bound, and for a random correlated pair of binomial measures the bivariate multifractal formalism holds exactly when the two parameters lie on the same side of 1/2.

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  • On the multivariate multifractal formalism: examples and counter-examples math.MG · 2024-11-21 · accept · none · ref 4

    For pairs of measures, the Legendre transform of the bivariate Lq-spectrum can be completely irrelevant as an upper bound, and for a random correlated pair of binomial measures the bivariate multifractal formalism holds exactly when the two parameters lie on the same side of 1/2.