Publications
Journal Papers
G. Cavagnari, G. Savaré and G.E. Sodini: Extension of monotone operators and Lipschitz maps invariant for a group of isometries. Canadian Journal of Mathematics (2023). Published online. DOI: 10.4153/S0008414X23000846
G. Cavagnari, G. Savaré and G.E. Sodini: Dissipative probability vector fields and generation of evolution semigroups in Wasserstein spaces. Probability Theory and Related Fields (PTRF), vol. 185, pp. 1087-1182 (2023). DOI: 10.1007/s00440-022-01148-7.
G. Cavagnari, S. Lisini, C. Orrieri and G. Savaré: Lagrangian, Eulerian and Kantorovich formulations of multi-agent optimal control problems: equivalence and Gamma-convergence. Journal of Differential Equations (JDE), vol. 322, pp. 268-364 (2022). DOI: 10.1016/j.jde.2022.03.019.
G. Cavagnari, A. Marigonda and Marc Quincampoix: Compatibility of state constraints and dynamics for multiagent control systems. Journal of Evolution Equations (JEEQ), vol. 21, pp. 4491-4537 (2021). DOI: 10.1007/s00028-021-00724-z.
F. Camilli, G. Cavagnari, R. De Maio and B. Piccoli: Superposition principle and schemes for Measure Differential Equations. Kinetic and Related Models (KRM), vol. 14, n. 1, pp. 89-113 (2021). DOI: 10.3934/krm.2020050. Published online.
G. Cavagnari and A. Marigonda: Attainability property for a probabilistic target in Wasserstein spaces. Discrete & Continuous Dynamical Systems - A (DCDS-A), vol. 41, n. 2, pp. 777-812 (2021). DOI: 10.3934/dcds.2020300. Published online.
G. Cavagnari, A. Marigonda and B. Piccoli: Generalized dynamic programming principle and sparse mean-field control problems. Journal of Mathematical Analysis and Applications (JMAA), vol. 481, n. 1 (2020). DOI: 10.1016/j.jmaa.2019.123437. Published online.
G. Cavagnari and A. Marigonda: Measure-theoretic Lie Brackets for nonsmooth vector fields. Discrete & Continuous Dynamical Systems - S (DCDS-S), vol. 11, n. 5, pp. 845-864 (2018). DOI: 10.3934/dcdss.2018052. Published online.
G. Cavagnari, A. Marigonda and B. Piccoli: Averaged time-optimal control problem in the space of positive Borel measures. ESAIM: COCV, vol. 24, n. 2, pp. 721-740 (2018) . DOI: 10.1051/cocv/2017060.
G. Cavagnari, A. Marigonda and B. Piccoli: Optimal synchronization problem for a multi-agent system. Networks and Heterogeneous Media (NHM), vol. 12, n. 2, pp. 277-295 (2017). DOI: 10.3934/nhm.2017012. Published online.
G. Cavagnari, A. Marigonda, K. T. Nguyen and F. S. Priuli: Generalized control systems in the space of probability measures. Set-Valued and Variational Analysis, vol. 26, n. 3, pp. 663-691 (2018). DOI: 10.1007/s11228-017-0414-y.
G. Cavagnari: Regularity results for a time-optimal control problem in the space of probability measures. Mathematical Control and Related Fields (MCRF), vol. 7, n. 2, pp. 213-233 (2017). DOI: 10.3934/mcrf.2017007. Published online.
Conference Proceedings
G. Cavagnari, A. Marigonda and B. Piccoli: Superposition principle for differential inclusions. I. Lirkov, S. Margenov (Eds.). Large-Scale Scientific Computing, LSSC 2017, Lecture Notes in Computer Science, vol. 10665, pp. 201-209. Springer, Cham (2018). DOI: 10.1007/978-3-319-73441-5_21. Published online.
G. Cavagnari, A. Marigonda and G. Orlandi: Hamilton-Jacobi-Bellman equation for a time-optimal control problem in the space of probability measures. Bociu, Lorena and Désidéri, Jean-Antoine and Habbal, Abderrahmane (Eds.). System Modeling and Optimization: 27th IFIP TC 7 Conference, CSMO 2015, Sophia Antipolis, France, June 29 - July 3, 2015, Revised Selected Papers, vol. 494, pp. 200-208. Springer, Cham (2016). DOI: 10.1007/978-3-319-55795-3_18
G. Cavagnari and A. Marigonda: Time-optimal control problem in the space of probability measures. I. Lirkov et al. (Eds.). Large-scale scientific computing, Lecture Notes in Computer Science, vol. 9374, pp. 109-116. Springer, Cham (2015). DOI: 10.1007/ 978-3-319-26520-9_11
Preprints
G. Cavagnari, G. Savaré and G.E. Sodini: A Lagrangian approach to dissipative evolutions in Wasserstein spaces. Preprint version: arXiv:2305.05211
Works in progress
G. Cavagnari and M. Quincampoix
G. Cavagnari and C. Hermosilla
G. Cavagnari, G. Savaré, G.E. Sodini
Thesis
Time-optimal control problems in the space of measures. Ph.D. Thesis. University of Trento, Trento (Italy), 2016. [PDF]
Generalized control systems in the space of probability measures. M. Sc. Thesis. University of Verona, Verona (Italy), 2013.
La “doppia proiezione” di Gauss in cartografia. B. Sc. Thesis. University of Verona, Verona (Italy), 2011.