2022 - Research.com Mathematics in Italy Leader Award
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.
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
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.
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.
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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)
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.
Siam Journal on Mathematical Analysis (2010)
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)
Kinetic models of opinion formation
Communications in Mathematical Sciences (2006)
Asymptotic L1-decay of solutions of the porous medium equation to self-similarity
J. A. Carrillo;G. Toscani.
Indiana University Mathematics Journal (2000)
Particle, kinetic, and hydrodynamic models of swarming
José A. Carrillo;Massimo Fornasier;Giuseppe Toscani;Francesco Vecil.
On a Kinetic Model for a Simple Market Economy
Stephane Cordier;Lorenzo Pareschi;Giuseppe Toscani.
Journal of Statistical Physics (2005)
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.
SIAM Journal on Numerical Analysis (2000)
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