Graph-Directed Sprays and Their Tube Volumes via Functional Equations

Autor:	Çelik, Derya, Koçak, Şahin, Özdemir, Yunus, Üreyen, A. Ersin
Rok vydání:	2015
Předmět:	Mathematics - Metric Geometry Primary 28A80 28A75 Secondary 52A38
Druh dokumentu:	Working Paper
Popis:	The notion of sprays introduced by Lapidus and his co-workers has proved useful in the context of fractal tube formulas. In the present note, we propose a more general concept of sprays, where we allow several generators to make them more convenient for applications to graph-directed fractals. Using a simple functional equation satisfied by the volume of the inner $\varepsilon$-neighborhood of such a generalized spray, we establish a tube formula for them. Comment: 27 pages, 9 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1507.07461 Zobrazit plný text záznamu View this record from Arxiv