Research

Research interests

  • Optimal transport (entropic, unbalanced, supremal)
  • Branched transport
  • Geometric measure theory
  • Calculus of variations
  • Γ-convergence
  • Quasi-convex analysis
  • Optimization
  • Network optimization
  • Partial differential equations

Publications et pre-publications

  • [P14]  (preprint) L. De Pascale, P. Pegon : The Quasi-Convex Rockafellar Theorem,  Prepublication (2026)  arXiv:2610.20542 |  HAL:hal-05800300
  • [P13]  (preprint) L. Nenna, B. Pass, P. Pegon, L. Tocquec : First-Order Γ-Expansion for Entropic Optimal Transport with Non-Degenerate Costs,  Prepublication (2026)  arXiv:2610.10257 |  HAL:hal-05774627
  • [P12]  (preprint) L. Nenna, P. Pegon, L. Tocquec : Convergence Rates for Regularized Unbalanced Optimal Transport: The Discrete Case,  Prepublication (2025)  arXiv:2507.07917 |  HAL:hal-05157120
  • [P11]  L. De Pascale, P. Pegon : A Rockafellar Theorem for Cyclically Quasi-Monotone Maps: The Regular Non-Vanishing Case,  Communications in Contemporary Mathematics, Article 2650071 (2026, online first)  arXiv:2507.09437 |  HAL:hal-05160124 |  Published version
  • [P10]  P. Pegon, M. Petrache : Optimal Quantization with Branched Optimal Transport Distances,  SIAM Journal on Mathematical Analysis 57 (4), pp 3649–3694 (2025)  arXiv:2309.08677 |  HAL:hal-04208973 |  Published version
  • [P9]  L. Nenna, P. Pegon : Convergence Rate of Entropy-Regularized Multi-Marginal Optimal Transport Costs,  Canadian Journal of Mathematics 77, pp 1072–1092 (2025)  arXiv:2307.03023 |  HAL:hal-04154453 |  Published version
  • [P8]  A. Monteil, P. Pegon : Mass Concentration in Rescaled First Order Integral Functionals,  Journal de l’École polytechnique — Mathématiques 11, pp 431–472 (2024)  arXiv:2203.01250 |  HAL:hal-03517074 |  Published version
  • [P7]  G. Carlier, P. Pegon, L. Tamanini : Convergence Rate of General Entropic Optimal Transport Costs,  Calculus of Variations and Partial Differential Equations 62 (4), Article 116 (2023)  arXiv:2206.03347 |  HAL:hal-03689945 |  Published version
  • [P6]  M. Colombo, A. De Rosa, A. Marchese, P. Pegon, A. Prouff : Stability of Optimal Traffic Plans in the Irrigation Problem,  Discrete and Continuous Dynamical Systems 42 (4), pp 1647–1667 (2022)  arXiv:2003.11793 |  HAL:hal-02519237 |  Published version
  • [P5]  P. Pegon, F. Santambrogio, Q. Xia : A Fractal Shape Optimization Problem in Branched Transport,  Journal de Mathématiques Pures et Appliquées 123, pp 244–269 (2019)  arXiv:1709.01415 |  HAL:hal-01581675 |  Published version
  • [P4]  P. Bochard, P. Pegon : Kinetic Selection Principle for Curl-Free Vector Fields of Unit Norm,  Communications in Partial Differential Equations 42 (9), pp 1375–1402 (2017)  arXiv:1701.02931 |  HAL:hal-01582933 |  Published version
  • [P3]  P. Pegon, F. Santambrogio, D. Piazzoli : Full Characterization of Optimal Transport Plans for Concave Costs,  Discrete & Continuous Dynamical Systems 35 (12), pp 6113–6132 (2015)  arXiv:1311.3406 |  HAL:hal-00904175 |  Published version
  • [P2]  D. Lesesvre, P. Pegon, F. Santambrogio : Optimal Transportation with an Oscillation-Type Cost: The One-Dimensional Case,  Set-Valued and Variational Analysis 21 (3), pp 541–556 (2013)  arXiv:1210.0761 |  HAL:hal-03883716 |  Published version
  • [P1]  P. Pegon : On the Lagrangian Branched Transport Model and the Equivalence with Its Eulerian Formulation,  in Topological Optimization and Optimal Transport: In the Applied Sciences (Eds. M. Bergounioux, É. Oudet, M. Rumpf, G. Carlier, T. Champion, F. Santambrogio), De Gruyter, pp 281–303 (2017)  HAL:hal-01581677 |  Published version
  • [P0]  P. Pegon : Branched Transport and Fractal Structures,  PhD thesis, Université Paris-Saclay (2017)  HAL:tel-01661457