Paul Pegon Maître de conférences

Identifiants chercheurs

IdHAL :

paul-pegon

ORCID :

0009-0005-2113-2816

Présentation

My research interests are

Optimal transport

Branched transport

Calculus of variations

Geometric measure theory

Optimization

Partial differential equations

Publications

Pré-publication, Document de travail (3)

A Rockafellar Theorem for cyclically quasi-monotone maps: the regular non-vanishing case Luigi de Pascale,Paul Pegon 2025 Pré-publication, Document de travail hal-05160124v2
Convergence rates for regularized unbalanced optimal transport: the discrete case Luca Nenna,Paul Pegon,Louis Tocquec 2025 Pré-publication, Document de travail hal-05157120v2
The landscape function in irrigation problems with an extended source Paul Pegon 2018 Pré-publication, Document de travail hal-01756113v1

Article dans une revue (9)

Optimal quantization with branched optimal transport distances Paul Pegon,Mircea Petrache SIAM Journal on Mathematical Analysis, In press Article dans une revue hal-04208973v3
Convergence rate of entropy-regularized multi-marginal optimal transport costs Luca Nenna,Paul Pegon Canadian Journal of Mathematics = Journal Canadien de Mathématiques, 2024, ⟨10.4153/S0008414X24000257⟩ Article dans une revue hal-04154453v3
Mass concentration in rescaled first order integral functionals Antonin Monteil,Paul Pegon Journal de l'École polytechnique — Mathématiques, 2024, 11, pp.42. ⟨10.5802/jep.257⟩ Article dans une revue hal-03517074v4
Convergence rate of general entropic optimal transport costs Guillaume Carlier,Paul Pegon,Luca Tamanini Calculus of Variations and Partial Differential Equations, 2023, 62 (4), pp.116. ⟨10.1007/s00526-023-02455-0⟩ Article dans une revue hal-03689945v1
Stability of optimal traffic plans in the irrigation problem Maria Colombo,Antonio de Rosa,Andrea Marchese,Paul Pegon,Antoine Prouff Discrete and Continuous Dynamical Systems - Series A, In press, ⟨10.3934/dcds.2021167⟩ Article dans une revue hal-02519237v2
A fractal shape optimization problem in branched transport Paul Pegon,Filippo Santambrogio,Qinglan Xia Journal de Mathématiques Pures et Appliquées, 2019, 123, pp.244-269. ⟨10.1016/j.matpur.2018.06.007⟩ Article dans une revue hal-01581675v2
A kinetic selection principle for curl-free vector fields of unit norm Pierre Bochard,Paul Pegon Communications in Partial Differential Equations, 2017, 42 (9), pp.1375-1402. ⟨10.1080/03605302.2017.1358276⟩ Article dans une revue hal-01582933v1
Full characterization of optimal transport plans for concave costs Paul Pegon,Davide Piazzoli,Filippo Santambrogio Discrete and Continuous Dynamical Systems - Series A, 2015, 35 (12), ⟨10.3934/dcds.2015.35.6113⟩ Article dans une revue hal-00904175v3
Optimal Transportation with an Oscillation-Type Cost: The One-Dimensional Case Didier Lesesvre,Paul Pegon,Filippo Santambrogio Set-Valued and Variational Analysis, 2013, 21 (3), pp.541-556. ⟨10.1007/s11228-013-0229-4⟩ Article dans une revue hal-03883716v2

Thèse (1)

Branched transport and fractal structures Paul Pegon Classical Analysis and ODEs [math.CA]. Université Paris Saclay (COmUE), 2017. English. ⟨NNT : 2017SACLS444⟩ Thèse tel-01661457v1

Chapitre d'ouvrage (1)

On the Lagrangian branched transport model and the equivalence with its Eulerian formulation Paul Pegon Topological optimization and optimal transport, De Gruyter, pp.281-303, 2017, ⟨10.1515/9783110430417-012⟩ Chapitre d'ouvrage hal-01581677v1