Publications / pre-publications (Google Scholar)

• Alexandrov spaces with non negative curvature and displacement convexity of the entropy tensor, J. Serres, (2026) (HAL)


• K-means with learned metrics, P. Groisman, M. Jonckheere, J. Serres, M. Sued, (2026) (arXiv)


• 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)


• Finite sample bounds for barycenter estimation in geodesic spaces, V.-E. Brunel and J. Serres, (2025). (arXiv)


• 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)


• 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)


• 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)


• Behavior of the Poincaré constant along the Polchinski flow, J. Serres, Communications in Contemporary Mathematics, 26 (07). (2024). (CCM, arXiv)


• Around stability for functional inequalities, J. Serres, Doctoral dissertation, Université Paul Sabatier-Toulouse III. (2022). (HAL)


• Stability of higher order eigenvalues in dimension one, J. Serres, Stochastic Processes and their Applications, 155, 459-484. (2023). (SPA, 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)


• Stability of the Poincaré constant, J. Serres, Bernoulli 29 (2) 1297 - 1320. (2023). (Bernoulli, HAL)