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Giuseppe Toscani

Giuseppe Toscani

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Mathematics
Italy
2026

D-Index & Metrics

Mathematics

D-Index
62
Citations
13345
World Ranking
483
National Ranking
10

Research.com Recognitions

  • 2026 - Research.com Mathematics in Italy Leader Award
  • 2025 - Research.com Mathematics in Italy Leader Award

Overview

Giuseppe Toscani is affiliated with the University of Pavia in Italy, with research primarily spanning physics, mathematics, and applied mathematical modeling. Their work is focused on statistical and nonlinear physics, modeling and simulation, economics and econometrics, public health, and applied mathematics.

In particular, Toscani's research addresses several main topics including opinion dynamics and social influence, COVID-19 epidemiological studies, mathematical and theoretical epidemiology and ecology models, complex systems and time series analysis, advanced thermodynamics and statistical mechanics, mathematical biology related to tumor growth, and complex network analysis techniques.

Toscani has published numerous papers across various prominent venues. Frequent publication venues include arXiv (Cornell University) with 29 papers, Mathematical Models and Methods in Applied Sciences with 8 papers, Rendiconti Lincei Matematica e Applicazioni with 3 papers, Statistics with 2 papers, and Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences with 2 papers.

Examples of recent papers include:

  • "Wealth distribution under the spread of infectious diseases" (2020), published in Physical Review E
  • "Kinetic models for epidemic dynamics with social heterogeneity" (2021), published in Journal of Mathematical Biology
  • "Non-Maxwellian kinetic equations modeling the dynamics of wealth distribution" (2020), published in Mathematical Models and Methods in Applied Sciences
  • "Optimal control of epidemic spreading in the presence of social heterogeneity" (2022), published in Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences
  • "A data-driven epidemic model with social structure for understanding the COVID-19 infection on a heavily affected Italian province" (2021), published in Mathematical Models and Methods in Applied Sciences

Toscani frequently collaborates with other researchers, with regular co-authors including Mattia Zanella, Giacomo Dimarco, Lorenzo Pareschi, Gennaro Auricchio, and Ferdinando Auricchio. These collaborations have contributed to advancing several domains intersecting mathematical biology, epidemiology, and statistical physics.

Best Publications

  • Interacting Multiagent Systems: Kinetic equations and Monte Carlo methods

    Lorenzo Pareschi;Giuseppe Toscani

  • Asymptotic Flocking Dynamics for the Kinetic Cucker–Smale Model

    José A. Carrillo;M. Fornasier;Jesús Rosado;Giuseppe Toscani

  • ON CONVEX SOBOLEV INEQUALITIES AND THE RATE OF CONVERGENCE TO EQUILIBRIUM FOR FOKKER-PLANCK TYPE EQUATIONS

    Anton Arnold;Peter Markowich;Giuseppe Toscani;Andreas Unterreiter

  • Kinetic models of opinion formation

    Giuseppe Toscani

  • Particle, kinetic, and hydrodynamic models of swarming

    José A. Carrillo;Massimo Fornasier;Giuseppe Toscani;Francesco Vecil

  • Entropy dissipation methods for degenerate parabolic problems and generalized Sobolev inequalities

    J. A. Carrillo;A. Jüngel;P. A. Markowich;G. Toscani

  • Asymptotic L1-decay of solutions of the porous medium equation to self-similarity

    J. A. Carrillo;G. Toscani

  • On a Kinetic Model for a Simple Market Economy

    Stephane Cordier;Lorenzo Pareschi;Giuseppe Toscani

  • Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences

    Giovanni Naldi;Lorenzo Pareschi;Giuseppe Toscani

  • Uniformly Accurate Diffusive Relaxation Schemes for Multiscale Transport Equations

    Shi Jin;Lorenzo Pareschi;Giuseppe Toscani

  • Diffusive Relaxation Schemes for Multiscale Discrete-Velocity Kinetic Equations

    Shi Jin;Lorenzo Pareschi;Giuseppe Toscani

  • Diffusive limit for finite velocity Boltzmann kinetic models

    Pierre Louis Lions;Giuseppe Toscani

  • The Wasserstein Gradient Flow of the Fisher Information and the Quantum Drift-diffusion Equation

    Ugo Gianazza;Giuseppe Savaré;Giuseppe Toscani

  • Probability Metrics and Uniqueness of the Solution to the Boltzmann Equation for a Maxwell Gas

    G. Toscani;C. Villani

  • Mathematical topics in nonlinear kinetic theory

    Nicola Bellomo;A. Palczewski;Giuseppe Toscani

  • An asymptotic-preserving well-balanced scheme for the hyperbolic heat equations

    Laurent Gosse;Giuseppe Toscani

  • Metrics for probability distributions and the trend to equilibrium for solutions of the Boltzmann equation

    G. Gabetta;G. Toscani;Bernt Wennberg

  • Kinetic Equations Modelling Wealth Redistribution: A Comparison of Approaches

    Bertram Düring;Daniel Matthes;Giuseppe Toscani

  • A Kinetic Flocking Model with Diffusion

    Renjun Duan;Massimo Fornasier;Giuseppe Toscani

  • Sharp Entropy Dissipation Bounds and Explicit Rate of Trend to Equilibrium for the Spatially Homogeneous Boltzmann Equation

    G. Toscani;C. Villani

  • One-dimensional kinetic models of granular flows

    Giuseppe Toscani

Frequent Co-Authors

Lorenzo Pareschi
Lorenzo Pareschi Heriot-Watt University
José A. Carrillo
José A. Carrillo University of Oxford
Jean Dolbeault
Jean Dolbeault Paris Dauphine University
Nicola Bellomo
Nicola Bellomo University of Granada
Peter A. Markowich
Peter A. Markowich King Abdullah University of Science and Technology
Cédric Villani
Cédric Villani École Normale Supérieure de Rennes
Massimo Fornasier
Massimo Fornasier Technical University of Munich
Giovanni Russo
Giovanni Russo University of Catania
Giuseppe Savaré
Giuseppe Savaré Bocconi University

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