Invariant multifractal measures in chaotic Hamiltonian systems, and related structures

Martin C. Gutzwiller; Benoit B. Mandelbrot

doi:10.1103/PhysRevLett.60.673

Physical Review Letters

Paper

22 Feb 1988

Invariant multifractal measures in chaotic Hamiltonian systems, and related structures

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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 ranges all the way from 0 to ẑ. © 1988 The American Physical Society.

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