Projection theorems for box and packing dimensions
Copyright policy ) Kenneth J. Falconer; J. D. Howroyd;
Projection theorems for box and packing dimensions
AbstractWe show that if E is an analytic subset of ℝn thenfor almost all m–dimensional subspaces V of ℝn, where projvE is the orthogonal projection of E onto V and dimp denotes packing dimension. The same inequality holds for lower and upper box counting dimensions, and these inequalities are the best possible ones.
- University of St Andrews United Kingdom
projection set, Fractals, box dimension, packing dimension
projection set, Fractals, box dimension, packing dimension
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
Popularity provided by BIP! 43
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