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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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https://hal.archives-ouvertes.fr/hal-02519237
Contributor : Paul Pegon Connect in order to contact the contributor
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

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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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