Publications

Preprints and manuscripts under review

  1. Infinite ResNets are Gaussian Mean ODEs, L. Chaintron, L. Chizat, J. Maass, arXiv:2610.41514, submitted in November 2026.
  2. Convex geometry of diffusion laws and gradient flows for stochastic control, Y. Bai, L. Chaintron, Z. Ren, S. Wang, arXiv:2610.03487, submitted in October 2026.
  3. A Dacorogna-Moser construction of transport maps on Rd with application to geodesics on the space of couplings, L. Chaintron, M. Picco, arXiv:2607.23241, submitted in October 2026.
  4. Geodesic convexity and strengthened functional inequalities in submanifolds of Wasserstein space, L. Chaintron, D. Lacker, submitted in August 2025.
  5. ResNets of All Shapes and Sizes: Convergence of Training Dynamics in the Large-scale Limit, L. Chaintron, L. Chizat, J. Maass, minor revision in Communications on Pure and Applied Mathematics, submitted in March 2026.
  6. Propagation of weak log-concavity along generalised heat flows via Hamilton-Jacobi equations, L. Chaintron, G. Conforti, K. Eichinger, major revision in Probability Theory and Related Fields, submitted in October 2025.
  7. Optimal rate of convergence in the vanishing viscosity for uniformly convex Hamilton-Jacobi equations, L. Chaintron, S. Daudin, minor revision in Communications in Partial Differential Equations, submitted in July 2025.

Published and accepted articles

  1. Quasi-continuity method for mean-field diffusions: large deviations and central limit theorem, L. Chaintron, accepted in Annals of Applied Probability (2026).
  2. Mean-field limits à la Tanaka and large deviations for particle systems with network interactions, L. Chaintron, A. Diez, to appear in ESAIM: Probability and Statistics (2026).
  3. Gibbs principle with infinitely many constraints: optimality conditions and stability, L. Chaintron, G. Conforti, J. Reygner, Applied Mathematics & Optimization, 94 (3), 57 (2026).
  4. Constrained non-linear estimation and links with stochastic filtering, L. Chaintron, L. Mertz, P. Moireau, H. Zidani, SIAM Journal on Control and Optimization, 64 (3), 1974–2000 (2026).
  5. Regularity and stability for the Gibbs conditioning principle on path space via McKean-Vlasov control, L. Chaintron, G. Conforti, Probability Theory and Related Fields, 196, 789–847 (2026).
  6. Existence and global Lipschitz estimates for unbounded classical solutions of a Hamilton-Jacobi equation, L. Chaintron, Annales de la Faculté des Sciences de Toulouse : Mathématiques, 34, 851–876 (2025).
  7. A jump-diffusion stochastic formalism for muscle contraction models at multiple timescales, L. Chaintron, F. Kimmig, M. Caruel, P. Moireau, Journal of Applied Physics, 134 (19) (2023).
  8. Modeling actin-myosin interaction: beyond the Huxley-Hill framework, L. Chaintron, M. Caruel, F. Kimmig, MathematicS In Action, 12 (1), 191–226 (2023).
  9. Mortensen Observer for a class of variational inequalities – Lost equivalence with stochastic filtering approaches, L. Chaintron, A. González, L. Mertz, P. Moireau, ESAIM: Proceedings and Surveys, 73, 130–157 (2023).
  10. Propagation of chaos: a review of models, methods and applications. II. Applications, L. Chaintron, A. Diez, Kinetic and Related Models, 15 (6), 1017–1173 (2022).
  11. Propagation of chaos: a review of models, methods and applications. I. Models and methods, L. Chaintron, A. Diez, Kinetic and Related Models, 15 (6), 895–1015 (2022).