CHAOTIC SCATTERING - AN INVARIANT FRACTAL TILING OF PHASE-SPACE

The existence of an invariant fractal tiling of phase space for unboun d Hamiltonian systems is demonstrated. The fractal properties of this partitioning of phase space is intimately related to the redistributio n of energy among the various modes of the system. The existence of th is tiling enables one to express the expectation values of physical ob servables as infinite sums over all of the tiles. Furthermore, knowled ge of the scaling laws associated with the tiling then enables one to evaluate these sums. (C) 1995 American Institute of Physics.