Fractal regularity results on optimal irrigation patterns
Fractal regularity results on optimal irrigation patterns
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DOI：
10.1016/j.matpur.2014.02.008
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发表时间：
2014-11-01
影响因子：
2.3
通讯作者：
Solimini, Sergio
中科院分区：
文献类型：
--
作者：
Brancolini, Alessio;Solimini, Sergio
在本文中的规则性问题，即分形行为，分支运输问题的最小值的解决。我们证明，在适当的灌溉措施条件下，极小值呈现分形规律，即在给定的长度为l的分支上，从它分叉的长度与c相当的分支的数目可以从上到下用l/n估计。(C)2014年Elsevier Masson SAS。All rights reserved.
In this paper the problem of the regularity, i.e. fractal behaviour, of the minima of the branched transport problem is addressed. We show that, under suitable conditions on the irrigated measure, the minima present a fractal regularity, that is on a given branch of length l the number of branches bifurcating from it whose length is comparable with c can be estimated both from above and below by l/epsilon. (C) 2014 Elsevier Masson SAS. All rights reserved.