Takeshi Matsumoto (source code)

= Takeshi Matsumoto
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<Takeshi Matsumoto> studied the <multifractal measure> of the <Feigenbaum attractor> with <Uriel Frisch> and <Konstantin Khanin>. Their analysis related power-law tails of <fractional derivatives> of an integrated <invariant measure> to its spectrum of local singularities.<Multifractality of the Feigenbaum attractor and fractional derivatives by Uriel Frisch and others>[Abstract: singularity spectrum, derivative statistics and numerical tests]{ref}

This supplies a way to detect nonuniform scaling from a transformed observable, rather than assigning the entire attractor one local exponent. The paper distinguishes its heuristic theoretical steps from high-accuracy numerical checks.