Patrimony

The Louis Bachelier Group's patrimony has been defined as all the publications produced by academic researchers thanks to Group funding (ILB, FdR, IEF, Labex) or via the use of EquipEx data (BEDOFIH, EUROFIDAI).


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Optimal control of deterministic and stochastic neuron models, in finite and infinite dimension. Application to the control of neuronal dynamics via Optogenetics.

Contrôle optimal, Modèles de neurones, Optimal control, Optogénétique, Partial differential equations, Piecewise deterministic Markov processes, Processus de Markov décisionnels, Processus de Markov déterministes par morceaux, Systèmes de contrôles déterministes affines

Optimal control of deterministic and stochastic neural models in finite and infinite dimension. Application to the control of neural dynamics by Optogenetics.

Contrôle optimal, Modèles de neurones, Optimal control, Optogénétique, Partial differential equations, Piecewise deterministic Markov processes, Processus de Markov décisionnels, Processus de Markov déterministes par morceaux, Systèmes de contrôles déterministes affines

Optimal control of infinite-dimensional piecewise deterministic Markov processes and application to the control of neuronal dynamics via Optogenetics.

Dynamic programming, Markov Decision Processes, Optimal control, Optogenetics, Piecewise Deterministic Markov Processes, Semilinear parabolic equations

Optimal control of infinite-dimensional piecewise deterministic Markov processes and application to the control of neuronal dynamics via Optogenetics.

Dynamic programming, Markov Decision Processes, Optimal control, Optogenetics, Piecewise Deterministic Markov Processes, Semilinear parabolic equations

Probabilistic representation of HJB equations for optimal control of jump processes, EDSR (stochastic backward differential equations) and stochastic calculus.

Backward stochastic differential equations, Contrôle optimal, Equations d'Hamilton-Jacobi-Bellman, Equations différentielles stochastiques rétrogrades, Hamilton-Jacobi-Bellman equations, Mesures aléatoires et compensateurs, Optimal control, Piecewise deterministic Markov processes, Processus de Dirichlet au sens faible, Processus de Markov déterministes par morceaux, Random measures and compensators, Weak Dirichlet processes