Research

Research interests

  • Optimal transport
  • Branched transport
  • Calculus of variations
  • Geometric measure theory
  • Optimization
  • Partial differential equations

Publications et pre-publications

  1. (preprint) L. Nenna, P. Pegon, L. Tocquec : Convergence Rates for Regularized Unbalanced Optimal Transport: The Discrete Case,  Prepublication (2025)  arXiv:2507.07917
  2. (preprint) L. De Pascale, P. Pegon : A Rockafellar Theorem for Cyclically Quasi-Monotone Maps: The Regular Non-Vanishing Case,  Prepublication (2025)  arXiv:2507.09437
  3.   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 | Published version
  4.   L. Nenna, P. Pegon : Convergence Rate of Entropy-Regularized Multi-Marginal Optimal Transport Costs,  Canadian Journal of Mathematics (2024)  arXiv:2307.03023 | Published version
  5.   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 |  Published version
  6.   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 |  Published version
  7.   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 |  Published version
  8.   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 |  Published version
  9.   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)  Published version
  10.   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 |  Published version
  11.   P. Pegon, F. Santambrogio, D. Piazzoli : Full Characterization of Optimal Transport Plans for Concave Costs,  Discrete & Continuous Dynamical Systems 35 (12), Article 6113 (2015)  arXiv:1311.3406 |  Published version
  12.   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 |  Published version