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- Giuseppe Toscani

Mathematics

Italy

2022

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
58
Citations
11,216
242
World Ranking
450
National Ranking
12

2022 - Research.com Mathematics in Italy Leader Award

- Quantum mechanics
- Mathematical analysis
- Algebra

His primary areas of study are Mathematical analysis, Boltzmann equation, Statistical physics, Kinetic energy and Fokker–Planck equation. Giuseppe Toscani has included themes like Diffusion equation, Degenerate energy levels and Applied mathematics in his Mathematical analysis study. His research investigates the connection between Degenerate energy levels and topics such as Gibbs' inequality that intersect with problems in Regular polygon.

Giuseppe Toscani combines subjects such as Boltzmann distribution, Cauchy problem, Kinetic theory of gases, Uniqueness and Nonlinear system with his study of Boltzmann equation. His Statistical physics research includes themes of Pareto principle, Thermodynamics, Econophysics, Limit and Stationary state. His study looks at the relationship between Fokker–Planck equation and fields such as Rate of convergence, as well as how they intersect with chemical problems.

- ON CONVEX SOBOLEV INEQUALITIES AND THE RATE OF CONVERGENCE TO EQUILIBRIUM FOR FOKKER-PLANCK TYPE EQUATIONS (396 citations)
- Asymptotic Flocking Dynamics for the Kinetic Cucker–Smale Model (366 citations)
- Entropy dissipation methods for degenerate parabolic problems and generalized Sobolev inequalities (306 citations)

Mathematical analysis, Boltzmann equation, Statistical physics, Nonlinear system and Kinetic theory of gases are his primary areas of study. His biological study spans a wide range of topics, including Second moment of area and Diffusion equation. His Boltzmann equation study which covers Limit that intersects with Stationary state.

His Statistical physics study incorporates themes from Pareto principle, Distribution, Fokker–Planck equation, Econophysics and Kinetic energy. His Pareto principle research integrates issues from Simple, Mathematical economics, Pareto distribution and Power law. His Nonlinear system study also includes fields such as

- Type together with Heat equation,
- Applied mathematics together with Probability distribution.

- Mathematical analysis (39.20%)
- Boltzmann equation (30.90%)
- Statistical physics (26.58%)

- Statistical physics (26.58%)
- Type (11.30%)
- Kinetic theory of gases (13.62%)

His main research concerns Statistical physics, Type, Kinetic theory of gases, Fokker–Planck equation and Log-normal distribution. Giuseppe Toscani interconnects Kinetic energy, Distribution, Diffusion and Wealth distribution in the investigation of issues within Statistical physics. His research in Type intersects with topics in Logarithm, Class, Information theory, Applied mathematics and Variable.

His study in Kinetic theory of gases is interdisciplinary in nature, drawing from both Mathematical economics, Distribution of wealth and Observable. His study looks at the relationship between Fokker–Planck equation and topics such as Mathematical physics, which overlap with Polynomial, Numerical approximation, Heat equation and Linear diffusion. His research integrates issues of Probability distribution and Boltzmann equation in his study of Group.

- Human behavior and lognormal distribution. A kinetic description (31 citations)
- Call center service times are lognormal: A Fokker–Planck description (29 citations)
- Kinetic models for optimal control of wealth inequalities (20 citations)

- Quantum mechanics
- Mathematical analysis
- Algebra

His scientific interests lie mostly in Statistical physics, Wealth distribution, Kinetic theory of gases, Kinetic equations and Log-normal distribution. His work carried out in the field of Statistical physics brings together such families of science as Feature and Distribution. His studies in Wealth distribution integrate themes in fields like Fokker–Planck equation, Variable coefficient, Applied mathematics and Diffusion.

His Fokker–Planck equation research incorporates themes from Service and Operations research. His Kinetic theory of gases research is multidisciplinary, incorporating elements of Mathematical economics, Pareto principle, Phenomenon, Power law and Infinity. His work deals with themes such as Bellman equation, Prospect theory, Weibull distribution and Center, which intersect with Log-normal distribution.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

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

Anton Arnold;Peter Markowich;Giuseppe Toscani;Andreas Unterreiter.

Pediatric Dermatology **(2001)**

490 Citations

Interacting Multiagent Systems: Kinetic equations and Monte Carlo methods

Lorenzo Pareschi;Giuseppe Toscani.

**(2014)**

475 Citations

Asymptotic Flocking Dynamics for the Kinetic Cucker–Smale Model

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

Siam Journal on Mathematical Analysis **(2010)**

442 Citations

Entropy dissipation methods for degenerate parabolic problems and generalized Sobolev inequalities

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

Monatshefte für Mathematik **(2001)**

402 Citations

Kinetic models of opinion formation

Giuseppe Toscani.

Communications in Mathematical Sciences **(2006)**

366 Citations

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

J. A. Carrillo;G. Toscani.

Indiana University Mathematics Journal **(2000)**

353 Citations

Particle, kinetic, and hydrodynamic models of swarming

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

**(2010)**

352 Citations

On a Kinetic Model for a Simple Market Economy

Stephane Cordier;Lorenzo Pareschi;Giuseppe Toscani.

Journal of Statistical Physics **(2005)**

241 Citations

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

Giovanni Naldi;Lorenzo Pareschi;Giuseppe Toscani.

**(2010)**

233 Citations

Uniformly Accurate Diffusive Relaxation Schemes for Multiscale Transport Equations

Shi Jin;Lorenzo Pareschi;Giuseppe Toscani.

SIAM Journal on Numerical Analysis **(2000)**

227 Citations

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