Invariant multifractal measures in chaotic Hamiltonian systems, and related structures

Martin C. Gutzwiller and Benoit B. Mandelbrot
Phys. Rev. Lett. 60, 673 – Published 22 February 1988
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Abstract

The coding of chaotic trajectories in Hamiltonian systems and the stochastic reflection of points on circles introduce examples of a new kind of multifractal measure, whose Hölder α ranges all the way from 0 to .

  • Received 27 October 1987

DOI:https://doi.org/10.1103/PhysRevLett.60.673

©1988 American Physical Society

Authors & Affiliations

Martin C. Gutzwiller and Benoit B. Mandelbrot

  • IBM Thomas J. Watson Research Center, Yorktown Heights, New York 10598

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Issue

Vol. 60, Iss. 8 — 22 February 1988

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