Publications
Bagagiolo, F., C.apuani, R., Marzufero, L., A zero-sum differential game for two opponent masses, accepted, https://arxiv.org/pdf/2408.03860
Bagagiolo, F., Capuani, R., Marzufero, L., A single player and a mass of agents: A pursuit evasion-like game, ESAIM: Control, Optimisation and Calculus of Variations,Volume 30, 2024
Capuani, R., Marigonda, A., Quincampoix, M., Set-driven evolution for multiagent system, Journal of Optimization Theory and Application, 200, 280–307, https://doi.org/10.1007/s10957-023-02344-8, 2024
Capuani, R., Marigonda, A. , Ricciardi, M. Random Lift of Set Valued Maps and Applications to Multiagent Dynamics. Set-Valued Var. Anal 31, 28 (2023). https://doi.org/10.1007/s11228-023-00693-0, 2023
Capuani, R., Marigonda, A., A Mean Field Model For Counter CBRN Threats, accepted to appear in Lecture Notes in Computer Science, Springer.
Capuani, R., Marigonda, A., Constrained Mean Field Games Equilibria as Fixed Point of Random Lifting of Set-Valued Maps, IFAC-PapersOnLine, Volume 55, Issue 30, Pages 180 - 185, DOI: 10.1016/j.ifacol.2022.11.049, 2022.
Capuani, R., Marigonda, A., Mogentale, M., Random Lifting of Set-Valued Maps, In: Lirkov, I., Margenov, S. (eds) Large-Scale Scientific Computing. LSSC 2021. Lecture Notes in Computer Science, vol 13127., Springer, Cham. http://doi.org/10.1007/978-3-030-97549-4_34, 2022
Cannarsa, P., Capuani, R. & Cardaliaguet, P. Mean field games with state constraints: from mild to pointwise solutions of the PDE system. Calc. Var. 60, 108, https://doi.org/10.1007/s00526-021-01936-4, 33 pages, 2021.
Capuani, R., Dutta, P., Nguyen, K. T., Metric entropy for functions of bounded total generalized variation, SIAM J. Math. Anal., 53(1), DOI: 10.1137/20M1310953, 22 pages, 2021.
Capuani, R., Gilmore, S., Nguyen, K. T., A model of debt with bankruptcy risk and currency devaluation, Minimax Theory and its Applications , 5, no. 2, 23 pages, 2020.
Cannarsa, P.,Capuani, R., and Cardaliaguet, P., C^{1,1}-smoothness of constrained solutions in the calculus of variations with application to mean field games,Mathematics in Engineering,1(1), 29 pages, doi:10.3934/Mine.2018.1.174, 2018.
Cannarsa, P., Capuani, R., Existence and uniqueness for Mean Field Games with state constraints,"PDE models for multi-agent phenomena", P. Cardaliaguet, A.Porretta, F. Salvarani editors, Springer INdAM Series, 22 pages, 2018.
Submitted, Preprints
Capuani, R., Marigonda, A., Quincampoix, M., Admissible variations and generalized differentiation in Wasserstein space, preprint.
Capuani, R., Di Persio, L., Kondratiev, Y., Ricciardi, M., da Silva, J.L., Random time dynamical system, https://arxiv.org/pdf/2108.05261.pdf, preprint.