Publications

Published papers:

• 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.
• 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.
• 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.
• 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.
• A jump-diffusion stochastic formalism for muscle contraction models at multiple timescales, L. Chaintron, F. Kimmig, M. Caruel, P. Moireau, accepted at Journal of Applied Physics in October 2023.

Preprints:

• Existence and global Lipschitz estimates for unbounded classical solutions of a Hamilton-Jacobi equation, L. Chaintron, submitted in September 2023.

Invited talks:

• CEMRACS 2021 (CIRM, Marseille, August 2021): « Deterministic filtering for non-smooth dynamical systems » (slides).
• Les probabilités de demain (IHP, Paris, November 2022): « Gibbs principle on path space and link with stochastic control » (slides).
• Analysis and simulations of metastable systems (CIRM, Marseille, April 2023): « Large mean-field systems conditioned by rare events » (slides).
• EDP, commande et observation des systèmes (LAAS, Toulouse, October 2023): « Mortensen observer for sub-differential dynamics » (slides).