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

  • Benoit B. Mandelbrot
Chapter

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 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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