Invariant multifractal measures in chaotic Hamiltonian systems and related structures (Gutzwiller & M 1988)

Benoit B. Mandelbrot
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Benoit B. Mandelbrot: Yale University, Mathematics Department

Chapter C20 in Fractals and Chaos, 2004, pp 231-238 from Springer

Abstract: Abstract The coding of chaotic trajectories in Hamiltonian systems, and the stochastic reflection of points on circles examplify a new kind of multifractal measure, whose Hölder α ranges from 0 to ∞.

Keywords: Hamiltonian System; Invariant Measure; Fuchsian Group; Letter Sequence; Chaotic Trajectory (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1007/978-1-4757-4017-2_20

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