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Stability of optimal traffic plans in the irrigation problem

Abstract : We prove the stability of optimal traffic plans in branched transport. In particular, we show that any limit of optimal traffic plans is optimal as well. This is the Lagrangian counterpart of the recent Eulerian version proved in [CDM19a].
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Submitted on : Wednesday, March 25, 2020 - 7:10:39 PM
Last modification on : Wednesday, November 17, 2021 - 12:33:22 PM
Long-term archiving on: : Friday, June 26, 2020 - 3:45:11 PM


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  • HAL Id : hal-02519237, version 1
  • ARXIV : 2003.11793


Maria Colombo, Antonio de Rosa, Andrea Marchese, Paul Pegon, Antoine Prouff. Stability of optimal traffic plans in the irrigation problem. 2020. ⟨hal-02519237⟩



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