Invariant multifractal measures in chaotic Hamiltonian systems, and related structures
- 22 February 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 60 (8), 673-676
- https://doi.org/10.1103/physrevlett.60.673
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 ∞.Keywords
This publication has 3 references indexed in Scilit:
- Fractal measures and their singularities: The characterization of strange setsPhysical Review A, 1986
- The Modular Surface and Continued FractionsJournal of the London Mathematical Society, 1985
- Classical Quantization of a Hamiltonian with Ergodic BehaviorPhysical Review Letters, 1980