Publications / pre-publications
Grouped by theme. Articles covering several topics are included in each.
Geometry
- Alexandrov spaces with non negative curvature and displacement convexity of the entropy tensor, J. Serres, (2026) (HAL)
- A generalization of Grünbaum's inequality in RCD(0,N)-spaces, V. -E. Brunel, S. -I. Ohta and J. Serres. (2024) Journal of Functional Analysis, Volume 290, Issue 1, 2026, 111210, ISSN 0022-1236, (JFA, arXiv)
- Stability estimates for the sharp spectral gap bound under a curvature-dimension condition, M. Fathi, I. Gentil and J. Serres, Annales de l'institut Fourier, Tome 74 (2024) no. 6, pp. 2425-2459 (Fourier, arXiv)
Statistics and learning in metric spaces
- K-means with learned metrics, P. Groisman, M. Jonckheere, J. Serres, M. Sued, (2026) (arXiv)
- Finite sample bounds for barycenter estimation in geodesic spaces, V.-E. Brunel and J. Serres, (2025). (arXiv)
- A generalization of Grünbaum's inequality in RCD(0,N)-spaces, V. -E. Brunel, S. -I. Ohta and J. Serres. (2024) Journal of Functional Analysis, Volume 290, Issue 1, 2026, 111210, ISSN 0022-1236, (JFA, arXiv)
- Concentration of empirical barycenters in metric spaces, V.-E. Brunel and J. Serres, Proceedings of The 35th International Conference on Algorithmic Learning Theory, PMLR 237:337-361. (2024). (ALT, arXiv)
Optimal transport and contraction
- A Generalization of Caffarelli's Contraction Theorem to Nearly Spherical Manifolds, Y. Ge and J. Serres, (2025) to appear in Proceedings of the American Mathematical Society (arXiv)
- Contractive transport maps from \(\mathbb{S}^2\) to nearly spherical surfaces with positive Ricci curvature, J. Serres, Nonlinear Analysis, Volume 267, 2026 (HAL, NLA)
Stein's method and stability of functional inequalities
- Generalized perimeters and gradient estimates, J. Serres. (2024) to appear in Annales de la Faculté des Sciences de Toulouse: Mathématiques (HAL)
- Isoperimetric and geometric inequalities in quantitative form: Stein's method approach, J. Serres. (2024) to appear in SIAM Journal on Mathematical Analysis (HAL)
- Stability estimates for the sharp spectral gap bound under a curvature-dimension condition, M. Fathi, I. Gentil and J. Serres, Annales de l'institut Fourier, Tome 74 (2024) no. 6, pp. 2425-2459 (Fourier, arXiv)
- Stability of higher order eigenvalues in dimension one, J. Serres, Stochastic Processes and their Applications, 155, 459-484. (2023). (SPA, arXiv)
- Stability of the Poincaré constant, J. Serres, Bernoulli 29 (2) 1297 - 1320. (2023). (Bernoulli, HAL)
Renormalization
Thesis and surveys
- Some recent advances in functional inequalities using stochastic methods, P. Bizeul, A. Joulin, P. Le Bris, C. Roberto and J. Serres. (2024) to appear in ESAIM: Proceedings and Surveys (preprint)
- Around stability for functional inequalities, J. Serres, Doctoral dissertation, Université Paul Sabatier-Toulouse III. (2022). (HAL)