1. F. Auricchio, G. Toscani, M. Zanella. Fokker-Planck modeling of many-agent systems in swarm manufacturing: asymptotic analysis and numerical results. Preprint arXiv, 2022.
  2. J. Franceschi, L. Pareschi, M. Zanella. From agent-based models to the macroscopic description of fake-news spread: the role of competence in data-driven applications. Preprint arXiv, 2022.
  3. A. Medaglia, A. Tosin, M. Zanella. Monte Carlo stochastic Galerkin methods for non-Maxwellian kinetic models of multiagent systems with uncertainties. Preprint arXiv, 2022.
  4. A. Medaglia, M. Zanella. Kinetic and macroscopic epidemic models in presence of multiple heterogeneous populations. Preprint arXiv, 2021.
  5. G. Dimarco, G. Toscani, M. Zanella. A multi-agent description of the influence of higher education on social stratification. Preprint arXiv, 2021.


  1. E. Bernardi, L. Pareschi, G. Toscani, M. Zanella. Effects of vaccination efficacy on wealth distribution in kinetic epidemic models. Entropy, 22:216, 2022. (Preprint arXiv)
  2. A. Medaglia, G. Colelli, L. Farina, A. Bacila, P. Bini, E. Marchioni, S. Figini, A. Pichiecchio, M. Zanella. Uncertainty quantification and control of kinetic models of tumour growth under clinical uncertainties. International Journal of Non-Linear Mechanics, 141:103933, 2022. (Preprint arXiv)
  3. G. Dimarco, A. Tosin, M. Zanella, Kinetic derivation of Aw-Rascle-Zhang-type traffic models with driver-assist vehicles. Journal of Statistical Physics, 186, 17, 2022. (Preprint arXiv)
  4. G. Dimarco, G. Toscani, M. Zanella. Optimal control of epidemic spreading in the presence of social heterogeneity. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 380:20210160, 2022. (Preprint arXiv)
  5. L. Pareschi, T. Trimborn, M. Zanella. Mean-field control variate methods for kinetic equations with uncertainties and applications to socio-economic sciences. International Journal for Uncertainty Quantification, 12(1):61–84, 2022. (Preprint arXiv)
  6. R. Borsche, A. Klar, M. Zanella. Kinetic-controlled hydrodynamics for multilane traffic models. Physica A: Statistical Mechanics and its Applications, 587: 126486, 2022. (Preprint arXiv).
  7. G. Albi, L. Pareschi, M. Zanella. Modelling lockdown measures in epidemic outbreaks using selective socio-economic containment with uncertainty. Mathematical Biosciences and Engineering, 18(6): 7161-7190, 2021. (Preprint arXiv)
  8. M. Zanella, C. Bardelli, G. Dimarco, S. Deandrea, P. Perotti, M. Azzi, S. Figini, G. Toscani. A data-driven epidemic model with social structure for understanding the COVID-19 infection on a heavily affected Italian Province. Mathematical Models and Methods in Applied Sciences, 31(12):2533-2570, 2021. (Preprint arXiv)
  9. G. Toscani, M. Zanella. On a class of Fokker-Planck equations with subcritical confinement. Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl., 32:471-496, 2021. (Preprint arXiv)
  10. G. Dimarco, B. Perthame, G. Toscani, M. Zanella. Kinetic models for epidemic dynamics with social heterogeneity. Journal of Mathematical Biology, 83, 4, 2021. (Preprint arXiv)
  11. G. Albi, L. Pareschi, M. Zanella. Control with uncertain data of socially structured compartmental epidemic models. Journal of Mathematical Biology, 82, 63, 2021. (Preprint arXiv)
  12. N. Loy, M. Zanella. Structure preserving schemes for Fokker-Planck equations with nonconstant diffusion matrices. Mathematics and Computers in Simulation, 188: 342-362, 2021. (Preprint arXiv)
  13. M. Zanella, C. Bardelli, M. Azzi, S. Deandrea, P. Perotti, S. Silva, E. Cadum, S. Figini, G. Toscani. Social contacts, epidemic spreading and health system. Mathematical modeling and applications to COVID-19 infection. Mathematical Biosciences and Engineering, 18(4): 3384–3403, 2021.
  14. L. Preziosi, G. Toscani, M. Zanella. Control of tumor growth distributions through kinetic methods. Journal of Theoretical Biology, 514: 110579, 2021. (Preprint arXiv)
  15. A. Tosin, M. Zanella. Uncertainty damping in kinetic traffic models by driver-assist controls. Mathematical Control & Related Fields, 11(3): 681-713, 2021. (Preprint arXiv)
  16. L. Pareschi, M. Zanella. Monte Carlo stochastic Galerkin methods for the Boltzmann equation with uncertainties: space-homogeneous case. Journal of Computational Physics, 423: 109822, 2020. (Preprint arXiv)
  17. G. Toscani, A. Tosin, M. Zanella. Kinetic modelling of multiple interactions in socio-economic systems. Networks & Heterogeneous Media, 15(3): 519-542, 2020. (Preprint arXiv)
  18. B. Piccoli, A. Tosin, M. Zanella. Model-based assessment of the impact of driver-assist vehicles using kinetic theory. Zeitschrift für Angewandte Mathematik und Physik, 71:152, 2020. (Preprint arXiv)
  19. G. Dimarco, L. Pareschi, G. Toscani, M. Zanella. Wealth distribution under the spread of infectious diseases. Physical Review E, 102: 022303, 2020. (Preprint arXiv)
  20. E. Ballante, C. Bardelli, M. Zanella, S. Figini, G. Toscani. Economic segregation under the action of trading uncertainties. Symmetry, 12(9): 1390, 2020.
  21. M. Zanella. Structure preserving stochastic Galerkin methods for Fokker-Planck equations with background interactions. Mathematics and Computers in Simulation, 168:28-47, 2020. (Preprint arXiv)
  22. J. A. Carrillo, M. Zanella. Monte Carlo gPC methods for diffusive kinetic flocking models with uncertainties. Vietnam Journal of Mathematics, 47(4): 931-954, 2019. (Preprint arXiv)
  23. G. Toscani, A. Tosin, M. Zanella. Multiple-interaction kinetic modelling of a virtual-item gambling economy. Physical Review E, 100(1): 012308, 2019. (Preprint arXiv)
  24. L. Pareschi, G. Toscani, A. Tosin, M. Zanella. Hydrodynamic models of preference formation in multi-agent societies. Journal of Nonlinear Science, 29(6):2761-2796, 2019. (Preprint arXiv)
  25. A. Tosin, M. Zanella. Kinetic-controlled hydrodynamics for traffic models with driver-assist vehicles. SIAM Journal on Multiscale Modeling & Simulation, 17(2): 716-749, 2019. (Preprint arXiv)
  26. G. Albi, L. Pareschi, M. Zanella. Boltzmann games in heterogeneous consensus dynamics. Journal of Statistical Physics, 175(1): 97–125, 2019. (Preprint arXiv)
  27. J. A. Carrillo, L. Pareschi, M. Zanella. Particle based gPC methods for mean-field models of swarming with uncertaintyCommunications in Computational Physics, 25(2): 508-531, 2019. (Preprint arXiv)
  28. M. Herty, A. Tosin, G. Visconti, M. Zanella. Hybrid stochastic kinetic description of two-dimensional traffic dynamics. SIAM Journal on Applied Mathematics, 78(5): 2737–2762, 2018. (Preprint arXiv)
  29. G. Toscani, A. Tosin, M. Zanella. Opinion modeling on social media and marketing aspects. Physical Review E, 98(2): 022315, 2018. (Preprint arXiv)
  30. A. Tosin, M. Zanella. Boltzmann-type models with uncertain binary interactions. Communications in Mathematical Sciences, 16(4): 962-984, 2018. (Preprint arXiv)
  31. L. Pareschi, M. Zanella. Structure preserving schemes for nonlinear Fokker-Planck equations and applicationsJournal of Scientific Computing, 74(3): 1575-1600, 2018. (Preprint arXiv)
  32. P. Vellucci, M. Zanella. Microscopic modeling and analysis of collective decision-making: equality bias leads suboptimal solutions. Annali dell’Università di Ferrara – Sezione VII Scienze Matematiche, 64(1): 185-207, 2018. (Preprint arXiv)
  33. M. Herty, M. Zanella. Performance bounds for the mean-field limit of constrained dynamics. Discrete and Continuous Dynamical Systems, 37(4): 2023-2043, 2017. (Preprint arXiv)
  34. L. Pareschi, P. Vellucci, M. Zanella. Kinetic models of collective decision-making in the presence of equality bias. Physica A: Statistical Mechanics and its Applications, 467: 201-217, 2017. (Preprint arXiv)
  35. G. Albi, L. Pareschi, M. Zanella. Opinion dynamics over complex networks: kinetic modelling and numerical methods. Kinetic and Related Models, 10(1): 1-32, 2017. (Preprint arXiv)
  36. D. Morale, M. Zanella, V. Capasso, W. Jäger. Stochastic Modeling and Simulation of Ion Transport through Channels. SIAM Journal on Multiscale Modeling & Simulation, vol. 14(1): 113-137, 2016. (Preprint arXiv)
  37. G. Albi, L. Pareschi, and M. Zanella. Uncertainty Quantification in Control Problems for Flocking Models. Mathematical Problems in Engineering. Vol. 2015, 14 pp., 2015. (Preprint arXiv)
  38. G. Albi, L. Pareschi, and M. Zanella. Boltzmann-type control of opinion consensus through leadersPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences,   vol. 372, no. 2028, 2014. (Preprint arXiv)

Book chapters

  1. G. Albi, G. Bertaglia, W. Boscheri, G. Dimarco, L. Pareschi, G. Toscani, M. Zanella. Kinetic modelling of epidemic dynamics: social contacts, control with uncertain data, and multiscale spatial dynamics. In Predicting Pandemics in a Globally Connected World, Vol. 1, Editors N. Bellomo and M. Chaplain, Springer-Nature. (Preprint arXiv)
  2. M. Herty, A. Tosin, G. Visconti, M. Zanella. Reconstruction of traffic speed distributions from kinetic models with uncertainties. In Mathematical descriptions of traffic flow: micro, macro and kinetic models, Editors A. Tosin, G. Puppo, SEMA SIMAI Springer Series, vol. 12. (Preprint arXiv)
  3. A. Tosin, M. Zanella. Boltzmann-type description with cutoff of Follow-the-Leader traffic models. In Trails in Kinetic Theory: Foundational Aspects and Numerical Methods, Editors G. Albi, S. Merino-Aceituno, A. Nota, M. Zanella, SEMA SIMAI Springer Series, vol. 25. (Preprint arXiv)
  4. G. Dimarco, L. Pareschi, M. Zanella.  Uncertainty quantification for kinetic models in socio-economic and life sciences. In Uncertainty Quantification for Hyperbolic and Kinetic Equations, Editors S. Jin, and L. Pareschi, SEMA SIMAI Springer Series, vol. 14, pp 151-191, 2017. (Preprint arXiv)
  5. G. Albi, L. Pareschi, G. Toscani, M. Zanella. Recent advances in opinion modeling: control and social influence. In Active Particles Volume 1, Advances in Theory, Models, and Applications, Editors N. Bellomo, P. Degond, and E. Tadmor, Birkhäuser-Springer, 2017. (Preprint arXiv).

Conference Proceedings

  1. A. Tosin, M. Zanella. Control strategies for road risk mitigation in kinetic traffic modelling. IFAC-PapersOnLine, 51(9): 67-72, 2018. (Preprint arXiv).
  2. L. Pareschi, M. Zanella. Structure preserving schemes for mean-field equations of collective behavior. In:  C. Klingenberg and M. Westdickenberg (eds.) Theory , Numerics and Applications of Hyperbolic Problems II. HYP 2016. Springer Proceedings in Mathematics & Statistics, 237, pp. 405-421, Springer , Cham. (Preprint arXiv)
  3. G. Albi, L. Pareschi, M. Zanella. On the optimal control of opinion dynamics on evolving networks. In System Modeling and Optimization. CSMO 2015. IFIP Advances in Information and Communication Technology, Bociu L., Désidéri JA., Habbal A. Eds., vol 494. Springer, Cham.  (Preprint arXiv)

Interdisciplinary collaborations

  1. J. Dibble, A. Prelorendjos, O. Romice, M. Zanella, E. Strano, M. Pagel, S. Porta. On the Origin of Spaces: Morphometric Foundations of Urban Form Evolution. Environment and Planning B: Urban Analytics and City Science, to appear.
  2. J. Dibble, A. Prelorendjos, O. Romice, M. Zanella, E. Strano, M. Pagel, S. Porta. Urban morphometrics: toward a science of urban evolution, ISUF International Seminar of Urban Form (Rome, IT), p.14, 2015.
  3. A. Venerandi, M. Zanella, O.Romice, J. Dibble, S. Porta. Form and Urban Change. An urban morphometric study of five gentrified neighbourhoods in London. Environment and Planning B: Urban Analytics and City Science, to appear. (Preprint arXiv).