基于函数方程的图向喷雾及其管形化
Graph-Directed Sprays and Their Tube Volumes via Functional Equations
摘要：
由Lapidus和他的同事提出的喷雾概念在分形管公式中被证明是有用的。在本说明中，我们提出了一个更一般的概念喷雾，在那里我们允许几个发电机，使他们更方便的应用程序图形导向分形。利用这种广义喷雾的内$\varepsilon$ -邻域的体积所满足的一个简单的函数方程，我们建立了它们的管公式。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
