Publications

Preprints:

  1. Mean-field limits à la Tanaka and large deviations for particle systems with network interactions, L. Chaintron, A. Diez, submitted in November 2025.
  2. Propagation of weak log-concavity along generalised heat flows via Hamilton-Jacobi equations, L. Chaintron, G. Conforti, K. Eichinger, submitted in October 2025.
  3. Geodesic convexity and strengthened functional inequalities in submanifolds of Wasserstein space, L. Chaintron, D. Lacker, submitted in August 2025.
  4. Optimal rate of convergence in the vanishing viscosity for uniformly convex Hamilton-Jacobi equations, L. Chaintron, S. Daudin, submitted in July 2025.
  5. Gibbs principle with infinitely many constraints: optimality conditions and stability, L. Chaintron, G. Conforti, J. Reygner, submitted in July 2025.
  6. Constrained non-linear estimation and links with stochastic filtering, L. Chaintron, L. Mertz, P. Moireau, H. Zidani, submitted in February 2025.
  7. Quasi-continuity method for mean-field diffusions: large deviations and central limit theorem, L. Chaintron, submitted in October 2024.

Articles:

  1. Regularity and stability for the Gibbs conditioning principle on path space via McKean-Vlasov control, L. Chaintron, G. Conforti, Probability Theory and Related Fields, 2025, p. 1-59.
  2. 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, 2025, vol. 34, pp. 851–876.
  3. A jump-diffusion stochastic formalism for muscle contraction models at multiple timescales, L. Chaintron, F. Kimmig, M. Caruel, P. Moireau, Journal of Applied Physics, 2023, vol. 134, no 19.
  4. Modeling actin-myosin interaction: beyond the Huxley-Hill framework, L. Chaintron, M. Caruel, F. Kimmig, MathematicS In Action, 2023, Tome 12 no. 1, pp. 191-226.
  5. 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, 2023, Vol. 73, p. 130-157.
  6. Propagation of chaos: a review of models, methods and applications. II. Applications, L. Chaintron, A. Diez, Kinetic and Related Models, 2022, 15(6): 1017-1173.
  7. Propagation of chaos: a review of models, methods and applications. I. Models and methods, L. Chaintron, A. Diez, Kinetic and Related Models, 2022, 15(6): 895-1015.