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

  • Benoit B. Mandelbrot


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 ∞.


Hamiltonian System Invariant Measure Fuchsian Group Letter Sequence Chaotic Trajectory 


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Copyright information

© Benoit B. Mandelbrot 2004

Authors and Affiliations

  • Benoit B. Mandelbrot
    • 1
    • 2
  1. 1.Mathematics DepartmentYale UniversityNew HavenUSA
  2. 2.IBM T.J. Watson Research CenterYorktown HeightsUSA

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