The paper derives entropy-based bounds for generalized fractal dimensions and claims a generic zero metric entropy result for systems with dense periodic measures.
Pointwise dimensions for Poincar´ e recurrences associated with maps and special flow s
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A note on the relation between the metric entropy and the generalized fractal dimensions of invariant measures
The paper derives entropy-based bounds for generalized fractal dimensions and claims a generic zero metric entropy result for systems with dense periodic measures.