Non-Archimedean Scale Invariance and Cantor Sets

Details Non-Archimedean Scale Invariance and Cantor Sets Non-Archimedean Scale Invariance and Cantor Sets

2010-01-10

arxiv.org/abs/1001.1487v1

Mathematics

General Mathematics

AMS_latex 2e, 13 pages, no figures, to appear in Fractals (2010)

Scientific paper

The framework of a new scale invariant analysis on a Cantor set $C\subset $ $% I=[0,1] $, presented originally in {\it S. Raut and D. P. Datta, Fractals, 17, 45-52, (2009)}, is clarified and extended further. For an arbitrarily small $\varepsilon >0$, elements $\tilde{x}$ in $I\backslash C$ satisfying $0<\tilde{x}<\varepsilon

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