Publications

Preprints


Articles

  1. J. A. Carrillo, D. Kalise, F. Rossi, E. Trélat, Controlling swarms towards flocks and mills, SIAM J Control, accepted, arXiv:2103.07304.
  2. F. Boarotto, L. Caravenna, F. Rossi, D. Vittone, On the Lebesgue measure of the boundary of the evoluted set, Systems & Control Letters, 158-105078, 2021.
  3. B. Piccoli, F. Rossi, Generalized solutions to bounded-confidence models, Math. Mod. Meth. Applied Sciences 31 (6), pp. 1237–1276, 2021.
  4. B. Bonnet, F. Rossi, Intrinsic Lipschitz Regularity of Mean-Field Optimal Controls, SIAM J Control, 59-3, pp. 2011–2046, 2021.
  5. J.-P. Gauthier, F. Rossi, A universal gap for non-spin quantum systems, Proc. AMS 149 (3), pp. 1203–1214, 2021.
  6. M. Duprez, M. Morancey, F. Rossi, Minimal time for the continuity equation controlled by a localized perturbation of the velocity vector field, J. Diff. Eq., Volume 269 (1), pp. 82–124, 2020.
  7. G. Cibelli, S. Polidoro, F. Rossi, Sharp Estimates for Geman-Yor Processes and applications to Arithmetic Average Asian options, J. Math. Pures Appl., Vol. 129, pp. 87–130, 2019.
  8. B. Bonnet, J.-P. Gauthier, F. Rossi, Generic Singularities of the 3D-Contact sub-Riemannian Conjugate Locus, Comptes Rendus Acad. Sciences – Math, Vol. 357 (6), pp. 520–527, 2019.
  9. B. Piccoli, F. Rossi, Measure dynamics with Probability Vector Fields and sources, Discrete & Continuous Dynamical Systems – A, Vol. 39(11), pp. 6207–6230, 2019.
  10. G. Albi, M. Bongini, F. Rossi, F. Solombrino, Leader formation with mean-field birth and death models, Math. Mod. Meth. Applied Sciences, Vol. 29, No. 04, pp. 633-679, 2019.
  11. M. Duprez, M. Morancey, F. Rossi, Approximate and exact controllability of the continuity equation with a localized vector field, SIAM J. Control Optim, 57-2, pp. 1284-1311, 2019.
  12. B. Bonnet, F. Rossi, The Pontryagin Maximum Principle in the Wasserstein Space, Calc. Var. PDE, 58:11, 2019.
  13. M. Bongini, M. Fornasier, F. Rossi, F. Solombrino, Mean-Field Pontryagin Maximum Principle, Journal of Optimization Theory and Applications, Vol. 175, pp. 1–38, 2017.
  14. M. Caponigro, B. Piccoli, F. Rossi, E. Trélat, Mean-Field Sparse Jurdjevic-Quinn control, Mathematical Models and Methods in Applied Sciences, Vol. 27, No. 7, pp. 1223–1253, 2017.
  15. M. Caponigro, B. Piccoli, F. Rossi, E. Trélat, Sparse Jurdjevic-Quinn stabilization of dissipative systems, Automatica, 86, pp. 110-120, 2017.
  16. M.L. Delle Monache, B. Piccoli, F. Rossi, Traffic regulation via controlled speed limit, SIAM J Control Optimization, 55(5), pp. 2936-2958, 2017.
  17. P. Goatin, F. Rossi, A traffic flow model with non-smooth metric interaction: well-posedness and micro-macro limit, Comm. Math. Sciences, Vol. 15 (1), pp. 261–287, 2017.
  18. B. Piccoli, F. Rossi, On properties of the Generalized Wasserstein distance, Archive for Rational Mechanics and Analysis, vol. 222, pp. 1339–1365, 2016.
  19. B. Piccoli, F. Rossi, E. Trélat, Control to flocking of the kinetic Cucker-Smale model, SIAM J. Mathematical Analysis 47, no. 6, pp. 4685–4719, 2015.
  20. U. Boscain, J.-P. Gauthier, F. Rossi, M. Sigalotti, Approximate controllability, exact controllability, and conical eigenvalue intersections for quantum mechanical systems, Communications in Mathematical Physics, Volume 333, Issue 3, pp. 1225–1239, 2015.
  21. M. Fornasier, B. Piccoli, F. Rossi, Mean-Field Sparse Optimal Control, Phil. Trans. R. Soc. A, 372: 20130400, 2014.
  22. U. Boscain, R. Duits, F. Rossi, Y. Sachkov, Curve cuspless reconstruction via sub-Riemannian geometry, ESAIM:COCV, Volume 20, Issue 03, pp. 748–770, 2014.
  23. R. Duits, U. Boscain, F. Rossi, Y. Sachkov, Association fields via cuspless sub-Riemannian geodesics in SE(2), J. Mathematical Imaging and Vision, Volume 49, Issue 2, pp. 384–417, 2014.
  24. B. Piccoli, F. Rossi, Generalized Wasserstein distance and its application to transport equations with source, Archive for Rational Mechanics and Analysis, Volume 211, Issue 1, pp. 335–358, 2014.
  25. S. Sajja, F. Rossi, P. Colaneri, R. Shorten, Extensions of “Padé Discretization for Linear Sys- tems With Polyhedral Lyapunov Functions” for generalised Jordan structures, IEEE Transactions on Automatic Control, Volume 58, Issue 8, pp. 2071–2076, 2013.
  26. F. Rossi, Large time behavior for the heat equation on Carnot groups, Nonlinear Differential Equations and applications, Volume 20, Issue 3, pp. 1393–1407, 2013.
  27. B. Piccoli, F. Rossi, Transport equation with nonlocal velocity in Wasserstein spaces: convergence of numerical schemes, Acta Applicanda Matematicae 124, pp. 73–105, 2013.
  28. U. Boscain, J. Duplaix, J.-P. Gauthier, F. Rossi, Anthropomorphic Image Reconstruction via Hypoelliptic Diffusion, SIAM J. on Control and Optimization 50,pp. 1309–1336, 2012.
  29. U. Boscain, J.-P. Gauthier, F. Rossi, Hypoelliptic heat kernel on 3-step nilpotent Lie groups, Contemporary Mathematics. Fundamental Directions, Vol. 42, pp. 48–61, 2011.
  30. F. Rossi, P. Colaneri, R. Shorten, Padé discretization for systems with piecewise linear Lyapunov functions, IEEE Trans. Automatic Control, vol. 56, issue 11, pp. 2717–2722, 2011.
  31. U. Boscain, G. Charlot, F. Rossi, Existence of planar curves minimizing length and curvature, Proceedings Steklov Institute of Mathematics, vol. 270, n. 1, pp. 43–56, 2010.
  32. U. Boscain, F. Rossi, Projective Reeds-Shepp car on S2 with quadratic cost, ESAIM: Control, Optimisation and Calculus of Variations, 16, no. 2, pp. 275–297, 2010.
  33. A. Agrachev, U. Boscain, J.-P. Gauthier, F. Rossi, The intrinsic hypoelliptic Laplacian and its heat kernel on unimodular Lie groups, J. Funct. Analysis 256, pp. 2621–2655, 2009.
  34. U. Boscain, F. Rossi, Invariant Carnot-Caratheodory metrics on S3, SO(3), SL(2) and Lens Spaces, SIAM J. Contr. Optim., 47, no. 4, pp. 1851–1878, 2008.

Other publications: book chapters and (some recent) conference proceedings


Last updated on January 7th, 2022.