Professeur Agrégé à l'IUT de Saint-Denis
Département Gestion des Entreprises et Administrations
Email: thibault.caillet.mail[at]gmail.com or thibault.caillet[at]univ-paris13.fr
Bureau: E408 IUT Saint-Denis, Bât E 4è étage
Enseignement
Probabilités
Cours
Feuille 1 Correction
Feuille 2 Correction
Feuille 3 Correction
Notes : BUT2AP
Probabilités
Cours
Feuille 1 Correction
Feuille 2 Correction
Feuille 3 Correction
Statistiques
Cours
Feuille 1 Correction
Formation Initiale : Notes TD4 Notes GPRH
Apprentissage : Notes
Research
During my PhD, I was interested in Optimal Transportation and more precisely in the so called generalized Jordan-Kinderlerher-Otto scheme, which is a time-discretization scheme for a certain class of evolution PDEs based on iterated optimization problems using the p-Wasserstein distance. The manuscript of my PhD tresis is available here.
Published papers
T. Caillet. The five gradients inequality for non quadratic costs. Comptes Rendus. Mathématique, Volume 361 (2023), pp. 715-721. doi : 10.5802/crmath.444.
T. Caillet and F. Santambrogio. Doubly nonlinear diffusive PDEs: new existence results via generalized Wasserstein gradient flows. SIAM Journal on Mathematical Analysis, Vol. 56, No. 6 (2024), pp. 7043–7073. doi : 10.1137/24M1639427
T. Caillet and F. Santambrogio. Fisher information and continuity estimates for nonlinear but 1-homogeneous diffusive PDEs (via the JKO scheme). Bulletin of the Hellenic Mathematical Society (2025)
T.Caillet and F. Coudreuse. Generalized Logarithmic Sobolev Inequality by the JKO Scheme. Preprint (2026) HAL