Publications

  1.  A. Nota, D. Nowak, C. Saffirio: Diffusion Limit of the Low-Density Magnetic Lorentz Gas. Preprint arXiv:2412.11134
  2. J. Chong, L. Lafleche, C. Saffirio: Semiclassical Limit of the Bogoliubov-de Gennes Equation. Preprint arXiv:2403.15880
  3. N. Leopold, C. Saffirio: Derivation of the Vlasov-Maxwell system from the Maxwell-Schrödinger equations with extended charges. Preprint arXiv:2308.16074
  4. C. Saffirio: Weakly interacting Fermions: mean-field and semiclassical regimes. Preprint arXiv:2307.07762
  5. G. Crippa, M. Inversi, C. Saffirio, G. Stefani: Existence and stability of weak solutions of the Vlasov-Poisson system in localized Yudovich spaces. To appear in Nonlinearity. Preprint arXiv:2306.00523 ​
  6. L. Lafleche, C. Saffirio: Uniqueness criteria for the Vlasov-Poisson system and applications to semiclassical analysis.  Preprint arXiv:2303.10634 
  7. J. Chong, L. Lafleche, C. Saffirio: On the semiclassical regularity of thermal equilibria. Preprint arXiv:2208.07911
  8. C. Saffirio: The Vlasov equation as the mean-field and semiclassical limit of many interacting fermions.   IAMP News Bulletin April 2022, http://www.iamp.org/bulletins/Bulletin-Apr2022-print.pdf
  9. R. Bianchini, C. Saffirio: Fluid instabilities, waves and non-equilibrium dynamics of interacting particles: a short overview. Mathematics in Engineering 2023, vol. 5, issue 2: 1-5. doi:10.3934/mine.2023033
  10. J. Chong, L. Lafleche, C. Saffirio: On the L^2 rate of convergence in the limit from Hartree to Vlasov-Poisson equation.  Journal de l'Ècole Polytechnique - Mathématiques 10 (2023), p. 703-726. https://doi.org/10.5802/jep.230 
  11. N. Leopold, C. Saffirio: Propagation of moments for large data and semiclassical limit to the relativistic Vlasov equation. SIAM J. Math. Anal. 5 (2023), no. 3. https://doi.org/10.1137/22M1493616.  Preprint arXiv:2203.03031
  12. J. Chong, L. Lafleche, C. Saffirio: Global in time semiclassical regularity for the Hartree-Fock equation. J. Math. Phys. 63 (2022), no.8, 10 pp. https://doi.org/10.1063/5.0089741
  13. J. Chong, L. Lafleche, C. Saffirio: From Schrödinger to Hartree-Fock and Vlasov equations with Singular potentials. To appear in Journal of the European Mathematical Society. Preprint arXiv:2103.10946
  14. L. Lafleche, C. Saffirio: Strong semiclassical limit from Hartree and Hartree-Fock to Vlasov-Poisson equation. Analysis & PDE 16 (2023), no. 4, DOI:10.2140/apde.2023.16.891
  15. C. Saffirio: From the Hartree to the Vlasov dynamics: conditional strong convergence. From Particle Systems to Partial Differential Equations in Springer Proceedings in Mathematics & Statistics 352 (2021), arXiv:2003.01001
  16. A. Nota, C. Saffirio, S. Simonella: The generalized Boltzmann equation for magnetotransport in the Lorentz gas: rigorous validity. Annales de l'Institut Henri Poincaré (B) Probabilité et Statistiques 58 (2022), no. 2, 1228-1243, https://doi.org/10.1214/21-AIHP1181, arXiv:1910.12983
  17. C. Saffirio: From the Hartree equation to the Vlasov-Poisson system: strong convergence for a class of mixed states. SIAM J. Math. Anal. 52 (2020), no. 6, 5533–5553. arXiv:1903.06013 
  18. A. Nota, C. Saffirio, J.L.L. Velázquez: Mini-Workshop: Lorentz Gas Dynamics: particle systems and scaling limits.  Oberwolfach Rep. 16 (2019), no. 1, 617-661
  19. C. Saffirio: Semiclassical limit to the Vlasov equation with inverse power law potentials. Commun. Math. Phys. (2019). https://doi.org/10.1007/s00220-019-03397-5. arXiv:1903.06001
  20. C. Saffirio: Mean-field evolution of fermions with singular interaction. In: Cadamuro D., Duell M., Dybalski W., Simonella S. (eds) Macroscopic Limits of Quantum Systems. MaLiQS 2017. Springer Proceedings in Mathematics & Statistics 270. Springer, Cham. arXiv:1801.02883
  21. G. Crippa, S. Ligabue, C. Saffirio: Lagrangian solutions to the Vlasov-Poisson system with a point charge. Kinet. Relat. Mod. 11 (2018), no. 6, 1277–1299. arXiv:1705.08077
  22. M. Porta, S. Rademacher, C. Saffirio, B. Schlein: Mean field evolution of fermions with Coulomb interaction. J. Stat. Phys. 166 (2017), pp. 1345–1364. arXiv:1608.05268
  23. C. Saffirio: Derivation of the Boltzmann equation: hard-spheres, short range potentials and beyond. Springer Proceedings in Mathematics & Statistics 162 (2016). arXiv:1602.05355
  24. N. Benedikter, M. Porta, C. Saffirio, B. Schlein: From the Hartree-Fock dynamics to the Vlasov equation. Arch. Ration. Mech. Anal. 221 (2016), no. 1, pp. 273–334. arXiv:1502.04230
  25. C. Boldrighini, A. Marchesiello, C. Saffirio: Weak dependence for local functions of Markov chains on Zd. Methods Funct. Anal. Topology 21 (2015), no. 4, pp. 302–314. arXiv:1501.07486
  26. N. Benedikter, V. Jaksic, M. Porta, C. Saffirio, B. Schlein: Mean-field Evolution of Fermionic Mixed States. Comm. Pure Appl. Math. (2015), DOI: 10.1002/cpa.21598. arXiv:1411.0843
  27. L. Desvilettes, E. Miot, C. Saffirio: Polynomial propagation of moments and global existence for a Vlasov–Poisson system with a point charge. Ann. Inst. H. Poincaré Anal. Non Linéaire 32 (2015), no. 2, pp. 373–400. arXiv:1307.1925
  28. M. Pulvirenti, C. Saffirio, S. Simonella: On the validity of Boltzmann equation for positive short range potentials. Rev. in Math. Phys. 26 (2014), no. 2, 64 pp. arXiv:1301.2514
  29. S. Buchholz, C. Saffirio, B. Schlein: Multivariate Central Limit Theorem in Quantum Dynamics. J. Stat. Phys. 154 (2014), no. 1-2, pp. 113–152. arXiv:1309.1702
  30. A. Bobylev, M. Pulvirenti, C. Saffirio: From particle systems to the Landau equation: a consistency result. Comm. Math. Phys. 319 (2013), no. 3, pp. 683–702. arXiv:1207.5987
  31. E. Miot, M. Pulvirenti, C. Saffirio: On the Kac model for the Landau equation. Kinet. Relat. Mod. 9 (2011), no. 1, pp. 333–344. arXiv:1401.7139​​