Papers

M. Bardi, Asymptotic properties of non-coercive Hamiltonians with drift, arXiv: 2401.09147 (2024).

M. Cirant and D. Redaelli, Some remarks on Linear-quadratic closed-loop games with many players, arXiv: 2401.06534 (2024).

G. Conforti, R. Kraaij, L. Tamanini and D. Tonon, Hamilton-Jacobi equations for Wasserstein controlled gradient flows: existence of viscosity solutions, arXiv: 2401. 02240 (2024).

P. Mannucci, C. Marchi and C. Mendico, Semi-linear parabolic equations on homogeneous Lie groups arising from Mean Field Games, arXiv: 2307.07257 (2023).

M. Bardi and H. Kouhkouh, Long-time behaviour of deterministic Mean Field Games with non-monotone interactions, arXiv: 2304.09509 (2023).

G. Conforti, R. Kraaij and  D. Tonon, Hamilton–Jacobi equations for controlled gradient flows: cylindrical test functions, arXiv: 2302.06571 (2023).

A. Cesaroni and M. Cirant, Stationary equilibria and their stability in a Kuramoto MFG with strong interaction, arXiv: 2307.09305 , to appear in Comm. PDE.

Y. Achdou, G. Carlier,  Q. Petit and D. Tonon,  A Mean Field  Model for the interactions between firms on the markets of their inputs, arXiv: 2207.05411 (2022), to appear in Mathematical and Financial Economics.

Y. Achdou, G. Carlier,  Q. Petit and D. Tonon,  A simple city equilibrium model with an application to teleworking,  arXiv: 2207.12729 (2022), to appear in Applied Mathematics and Optimization.

C. Alasseur, M. Basei, C. Bertucci, and A. Cecchin. A mean field model for the development of renewable capacities. arXiv: 2210.15023  (2022), to appear in Mathematical and Financial Economics.

C. Bernardini, Mass concentration for ergodic Choquard Mean-Field Games, arXiv:2212.00132 (2022), to appear in ESAIM COCV.

C. Bertucci and A. Cecchin. Mean field games master equations: from discrete to continuous state space, arXiv: 2207.03191 (2022), to appear in SIAM Journal on Mathematical Analysis.

A. Cecchin and F. Delarue. Weak solutions to the master equation of potential mean field games, arXiv: 2204.04315 (2022), to appear in Memoirs of the AMS.

C. Bernardini and A. Cesaroni, Ergodic Mean-Field Games with aggregation of Choquard-type, Journal of Differential Equations (2023).

E. Bayraktar, A. Cecchin, and P. Chakraborty. Mean field control and finite dimensional approximation for regime-switching jump diffusions. Applied Mathematics and Optimization, 88:36, doi.org/10.1007/s00245-023-10015-3, 2023.

E. Bayraktar, A. Cecchin, A. Cohen, and F. Delarue. Finite state mean field games with Wright-Fisher common noise as limits of N-player weighted games, Mathematics of Operations Research, 47 (4), 2840-2890, doi.org/10.1287/moor.2021.1230, 2022.

F. Camilli and C. Marchi, On Quasi-Stationary Mean Field Games of Controls, to appear in Appl. Math. Optim. 

J. Dianetti, G. Ferrari, M. Fischer, and M. Nendel. A unifying framework for submodular mean field games, to appear in Math. Oper. Res.

M. Cirant, P. Cardaliaguet and A. Porretta: Splitting methods and short time existence for the master equation in mean field games, J. Eur. Math. Soc. (JEMS), 2022.

A. Cecchin and F. Delarue. Selection by vanishing common noise for potential finite state mean field games. Communications in Partial Differential Equations (2022), DOI: 10.1080/03605302.2021.1955256.

M. Bardi and H. Kouhkouh: An Eikonal equation with vanishing Lagrangian arising in Global Optimization, to appear in Appl. Math. Optim.

G. Conforti, R. Kraaij and  D. Tonon, Hamilton-Jacobi equations for controlled gradient flows: the comparison principle, to appear in J. Funct. Anal.

Y. Achdou, P. Mannucci, C. Marchi and N. Tchou, Deterministic Mean Field Games with control on the acceleretion and state constraints, SIAM J. Math. Anal. (2022), DOI: 10.1137/21M1415492 . 

P. Mannucci, C. Marchi and N. Tchou, Non coercive unbounded first order Mean Field Games: The Heisenberg example, J. Differential Equations (2022), DOI: 10.1016/j.jde.2021.11.029 .

A. Cesaroni and M. Cirant, Brake orbits and heteroclinic connections for first order Mean Field Games, Trans. Amer. Math. Soc. (2021), DOI: 10.1090/tran/8362 .

A. Cesaroni and M. Cirant, 1-dimensional multi-agent optimal control with aggregation and distance constraints: qualitative properties and mean-field limit, Nonlinearity (2021), DOI: 10.1088/1361-6544/abc795 .