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We introduce a model of Poincar\'e mappings which represents hierarchicalstructure of phase spaces for systems with many degrees of freedom. The modelyields residence time distribution of power type, hence temporal correlationremains long. The power law behavior is enhanced as the system size increases.Comment: 6 pages, 3 Encapsulated Postscript figures, LaTeX (58 kb

A Geometrical Model for Stagnant Motion in Hamiltonian Systems with Many Degrees of Freedom