Lattice-type self-similar sets with pluriphase generators fail to be Minkowski measurable

Author:

Kombrink Sabrina,Pearse Erin P. J.,Winter Steffen

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference32 articles.

1. Bandt, C., Hung, N.V., Rao, H.: On the open set condition for self-similar fractals. Proc. Am. Math. Soc. 134(5), 1369–1374 (2006). doi: 10.1090/S0002-9939-05-08300-0

2. Demir, B., Deniz, A., Koçak, Ş., Üreyen, A.E.: Tube formulas for graph-directed fractals. Fractals 18(3), 349–361 (2010). doi: 10.1142/S0218348X10004919

3. Deniz, A., Koçak, Ş., Özdemir, Y., Ratiu, A., Üreyen, A.E.: On the Minkowski measurability of self-similar fractals in $${\mathbb{R}}^d$$ R d . Turk. J. Math. 37(5), 830–846 (2013)

4. Deniz, A., Koçak, Ş., Özdemir, Y., Üreyen, A.E.: Tube formula for self-similar fractals with non-Steiner-like generators. In: Proceedings of the Gökova Geometry-Topology Conference 2012, pp. 123–145. International Press, Somerville (2013)

5. Deniz, A., Koçak, Ş., Özdemir, Y., Üreyen, A.E.: Tube formulas for self-similar and graph-directed fractals. Math. Intell. 35(3), 36–49 (2013). doi: 10.1007/s00283-013-9382-8

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