论文标题
加权计划的灌溉措施
Irrigable Measures for Weighted Irrigation Plans
论文作者
论文摘要
灌溉网络的模型最近必须在BSUN2 [4]中引入较低的分支以支持较高的分支。这导致了一个可数的ODE家族，描述了每个分支的厚度，通过向后诱导解决。本文确定可以通过有限的加权成本来灌溉哪种措施。实际上，成本的界限取决于灌溉度量的支撑的维度，也取决于决定分支厚度的ODE的渐近性。
A model of irrigation network, where lower branches must be thicker in order to support the weight of the higher ones, was recently introduced in BSUN2 [4]. This leads to a countable family of ODEs, describing the thickness of every branch, solved by backward induction. The present paper determines what kind of measures can be irrigated with a finite weighted cost. Indeed, the boundedness of the cost depends on the dimension of the support of the irrigated measure, and also on the asymptotic properties of the ODE which determines the thickness of branches.
