ON COUNTING FUNCTIONS OF SELF-SIMILAR SEQUENCES

[摘要] A special class of self-similar sequences is considered. They produce fractal self-similar curves such as the Levy curve and the von Koch curve and so on. The counting functions of them are investigated with the aid of the Discrete Fourier Transform. Under suitable conditions on the generator of the self-similar sequence the relative counting function converges to the constant function.

[发布日期] 1991-12-23

[效力级别]  Proceedings Paper

[关键词] FRACTAL;LEVY CURVE;VONKOCH CURVE;SELF-SIMILAR SEQUENCE;COUNTING FUNCTION;DISCRETE FOURIER TRANSFORM