Certain Singular Distributions and Fractals
Copyright policy )Certain Singular Distributions and Fractals
Abstract In the presented paper, the main attention is given to fractal sets whose elements have certain restrictions on using digits or combinations of digits in their own nega-P-representation. Topological, metric, and fractal properties of images of certain self-similar fractals under the action of some singular distributions, are investigated.
Fractals, Irrationality; linear independence over a field, fractal, Mathematics - Classical Analysis and ODEs, Moran structure, Extremal combinatorics, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Metric theory of other algorithms and expansions; measure and Hausdorff dimension, Elementary functions, Hausdorff dimension, range of values of a function, continuous function
Fractals, Irrationality; linear independence over a field, fractal, Mathematics - Classical Analysis and ODEs, Moran structure, Extremal combinatorics, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Metric theory of other algorithms and expansions; measure and Hausdorff dimension, Elementary functions, Hausdorff dimension, range of values of a function, continuous function
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