Publications

Preprints:

  1. Optimal rate of convergence in the vanishing viscosity for quadratic Hamilton-Jacobi equations, L. Chaintron, S. Daudin submitted in February 2025.
  2. Constrained non-linear estimation and links with stochastic filtering, L. Chaintron, L. Mertz, P. Moireau, H. Zidani submitted in February 2025.
  3. Regularity and stability for the Gibbs conditioning principle on path space via McKean-Vlasov control, L. Chaintron, G. Conforti, submitted in November 2024.
  4. Gibbs principle with infinitely many constraints: optimality conditions and stability, L. Chaintron, G. Conforti, J. Reygner, submitted in November 2024.
  5. Quasi-continuity method for mean-field diffusions: large deviations and central limit theorem, L. Chaintron, submitted in October 2024.

Articles:

  1. Existence and global Lipschitz estimates for unbounded classical solutions of a Hamilton-Jacobi equation, L. Chaintron, accepted in Annales de la Faculté des Sciences de Toulouse, July 2024.
  2. 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..
  3. Modeling actin-myosin interaction: beyond the Huxley-Hill framework, L. Chaintron, M. Caruel, F. Kimmig, MathematicS In Action, Tome 12 (2023) no. 1, pp. 191-226.
  4. 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, September 2023, Vol. 73, p. 130-157.
  5. 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.
  6. 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.