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Optimal Transport with Discrete Mean Field Interaction

Chapter


Abstract


  • In this note, we summarise some regularity results recently obtained for an optimal transport problem where the matter transported is either accelerated by an external force field, or self-interacting, at a given intermediate time.

Authors


  •   Liu, Jiakun
  •   Loeper, Gregoire (external author)

Publication Date


  • 2019

Citation


  • Liu, J. & Loeper, G. (2019). Optimal Transport with Discrete Mean Field Interaction. In D. Wood, C. Praeger, J. De Gier & T. Tao (Eds.), 2017 MATRIX Annals (pp. 207-212). Switzerland: Springer.

International Standard Book Number (isbn) 13


  • 9783030041601

Book Title


  • 2017 MATRIX Annals

Start Page


  • 207

End Page


  • 212

Place Of Publication


  • Switzerland

Abstract


  • In this note, we summarise some regularity results recently obtained for an optimal transport problem where the matter transported is either accelerated by an external force field, or self-interacting, at a given intermediate time.

Authors


  •   Liu, Jiakun
  •   Loeper, Gregoire (external author)

Publication Date


  • 2019

Citation


  • Liu, J. & Loeper, G. (2019). Optimal Transport with Discrete Mean Field Interaction. In D. Wood, C. Praeger, J. De Gier & T. Tao (Eds.), 2017 MATRIX Annals (pp. 207-212). Switzerland: Springer.

International Standard Book Number (isbn) 13


  • 9783030041601

Book Title


  • 2017 MATRIX Annals

Start Page


  • 207

End Page


  • 212

Place Of Publication


  • Switzerland