Invariant multifractal measures in chaotic Hamiltonian systems and related structures (Gutzwiller & M 1988)
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 ∞.
KeywordsHamiltonian System Invariant Measure Fuchsian Group Letter Sequence Chaotic Trajectory
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© Benoit B. Mandelbrot 2004