We show in full generality the stability of optimal traffic paths in branched transport: namely we prove that any limit of optimal traffic paths is optimal as well. This solves an open problem in the field (cf. Open problem 1 in the book Optimal transportation networks, by Bernot, Caselles and Morel), which has been addressed up to now only under restrictive assumptions.

中文翻译：

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论分支交通的良性

我们全面展示了分支运输中最优交通路径的稳定性：即我们证明最优交通路径的任何限制也是最优的。这解决了该领域的一个开放问题（参见 Bernot、Caselles 和 Morel 所著的 Optimal transport networks 一书中的开放问题 1），该问题迄今为止仅在限制性假设下得到解决。