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Multifractal Analysis of Parabolic Rational MapsByrne, Jesse William 08 1900 (has links)
The investigation of the multifractal spectrum of the equilibrium measure for
a parabolic rational map with a Lipschitz continuous potential, φ, which satisfies
sup φ < P(φ)
x∈J(T)
is conducted. More specifically, the multifractal spectrum or spectrum of singularities, f(α) is studied.
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