On the Self-Similar Jordan Arcs Admitting Structure Parametrization

Author:

Aseev V. V.,Tetenov A. V.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference7 articles.

1. Bandt Ch. and Graf S., “Self-similar sets 7. A characterization of self-similar fractals with positive Hausdorff measure,” Proc. Amer. Math. Soc., 114, No.4, 995–1001 (1992).

2. Aseev V. V., “On the regularity of self-similar zippers,” in: Materials: 6th Russian-Korean International Symposium on Science and Technology, KORUS-2002, June 24–30 2002, Novosibirsk State Techn. Univ., Russia, NGTU, Novosibirsk, 2002, Part 3 (Abstracts), p. 167.

3. Astala K., “Selfsimilar zippers,” in: Holomorphic Functions and Moduli, Proc. Workshop, March 13–19, 1986, New York etc., 1988, V. 1, pp. 61–73.

4. Aseev V. V., Tetenov A. V., and A. S Kravchenko, “On selfsimilar Jordan curves on the plane,” Sibirsk. Mat. Zh., 44, No.3, 481–492 (2003).

5. Hutchinson J., “Fractals and self-similarity,” Indiana Univ. Math. J., 30, No.5, 713–747 (1981).

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