Edit Profile (opens in new tab) Toscani, Giuseppe Co-Author Distance Author ID: toscani.giuseppe Published as: Toscani, Giuseppe; Toscani, G. Homepage: http://www-dimat.unipv.it/toscani/ External Links: MGP · ORCID · Google Scholar · ResearchGate · dblp · GND Documents Indexed: 229 Publications since 1975, including 3 Books and 8 Additional arXiv Preprints 9 Contributions as Editor Co-Authors: 104 Co-Authors with 182 Joint Publications 2,851 Co-Co-Authors all top 5 Co-Authors 56 single-authored 27 Pareschi, Lorenzo 19 Carrillo de la Plata, José Antonio 14 Pulvirenti, Ada 13 Zanella, Mattia 11 Naldi, Giovanni 10 Gabetta, Ester 9 Furioli, Giulia 9 Terraneo, Elide 8 Bellomo, Nicola 7 Markowich, Peter Alexander 7 Matthes, Daniel 7 Spiga, Giampiero 6 Bisi, Marzia 6 Comincioli, Valeriano 6 Dimarco, Giacomo 6 Dolbeault, Jean 6 Jüngel, Ansgar 5 Arnold, Anton 5 Gosse, Laurent 5 Gualandi, Stefano 5 Villani, Cédric 4 Bassetti, Federico 4 Brugna, Carlo 4 Düring, Bertram 4 Fornasier, Massimo 4 Monaco, Roberto 4 Russo, Giovanni 3 Auricchio, Ferdinando 3 Bobylev, Alexandre Vasiljévitch 3 Frosali, Giovanni 3 Lods, Bertrand 3 López, José Luis 3 Palczewski, Andrzej 3 Savaré, Giuseppe 3 Soler, Juan S. 3 Unterreiter, Andreas 2 Albi, Giacomo 2 Azzi, Mara 2 Bardelli, Chiara 2 Bertoluzza, Carlo 2 Boffi, Vinicio C. 2 Cáceres, María-José 2 Cordier, Stéphane 2 Deandrea, Silvia 2 Desvillettes, Laurent 2 Di Francesco, Marco 2 Figini, Silvia 2 Gualdani, Maria Pia 2 Jin, Shi 2 Lachowicz, Mirosław 2 Lederman, Claudia B. 2 Lions, Pierre-Louis 2 Perotti, Pietro 2 Protopopescu, Vladimir A. 2 Salvarani, Francesco 2 Torregrossa, Marco 2 Tosin, Andrea 2 Wennberg, Bernt 1 Aletti, Giacomo 1 Allemand, Thibaut 1 Auricchio, Gennaro 1 Bampi, Franco 1 Barbaini, Franco 1 Ben Abdallah, Naoufel 1 Bertaglia, Giulia 1 Boscheri, Walter 1 Cadum, Ennio 1 Carlen, Eric Anders 1 Carraturo, Massimo 1 Cercignani, Carlo 1 Codegoni, Andrea 1 Della Croce, Lucia 1 Demichelis, Stefano 1 Duan, Renjun 1 Ferrari, Elisa 1 Filbet, Francis 1 Fornaro, Simona 1 Frommlet, Florian 1 Martínez Gamba, Irene 1 Gianazza, Ugo Pietro 1 Giudici, Paolo 1 Goudon, Thierry 1 Haskovec, Jan 1 Illner, Reinhard 1 Junca, Stéphane 1 Ladelli, Lucia 1 Li, Hailiang 1 Lisini, Stefano 1 Mouhot, Clément 1 Perthame, Benoît 1 Pietra, Paola 1 Polewczak, Jacek 1 Preziosi, Luigi 1 Raffinetti, Emanuela 1 Rey, Thomas 1 Rionero, Salvatore 1 Rosado, Jesús 1 Scapolla, Terenzio 1 Silva, Santino 1 Van der Mee, Cornelis Victor Maria ...and 4 more Co-Authors all top 5 Serials 16 Journal of Statistical Physics 10 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 9 Kinetic and Related Models 7 Archive for Rational Mechanics and Analysis 7 Journal of Mathematical Physics 7 Transport Theory and Statistical Physics 6 Communications in Mathematical Sciences 5 Communications in Mathematical Physics 5 Monatshefte für Mathematik 5 SIAM Journal on Numerical Analysis 5 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 4 Physica A 4 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 4 Ricerche di Matematica 4 Applied Mathematics Letters 4 Comptes Rendus de l’Académie des Sciences. Série I 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Nonlinearity 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Continuum Mechanics and Thermodynamics 3 Communications on Applied Nonlinear Analysis 3 Istituto Lombardo, Accademia di Scienze e Lettere, Rendiconti, Sezione A 2 Computers & Mathematics with Applications 2 IEEE Transactions on Information Theory 2 Journal of Computational Physics 2 Mathematical Methods in the Applied Sciences 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Journal of Functional Analysis 2 Meccanica 2 Numerische Mathematik 2 Communications in Partial Differential Equations 2 SIAM Journal on Applied Mathematics 2 SIAM Journal on Mathematical Analysis 2 Discrete and Continuous Dynamical Systems 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Journal of Evolution Equations 2 Milan Journal of Mathematics 2 Rivista di Matematica della Università di Parma. Serie 7 2 Bollettino della Unione Matematica Italiana. Series V. B 2 Series on Advances in Mathematics for Applied Sciences 2 Networks and Heterogeneous Media 2 Rivista di Matematica della Università di Parma. New Series 1 Journal of Mathematical Biology 1 Ukraïns’kyĭ Matematychnyĭ Zhurnal 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Atti della Accademia Peloritana dei Pericolanti. Classe di Scienze Fisiche, Matemàtiche e Naturali 1 Bulletin of the Technical University of Istanbul 1 Indiana University Mathematics Journal 1 Le Matematiche 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 Transactions of the American Mathematical Society 1 Rendiconti del Seminario Matematico 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Acta Applicandae Mathematicae 1 Physica D 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Revista Matemática Iberoamericana 1 Asymptotic Analysis 1 IMRN. International Mathematics Research Notices 1 Surveys on Mathematics for Industry 1 Bollettino della Unione Matemàtica Italiana. Serie VI. A 1 Bollettino della Unione Matemàtica Italiana. Serie VI. B 1 Journal of Nonlinear Science 1 SIAM Journal on Scientific Computing 1 Physics of Fluids 1 Electronic Journal of Differential Equations (EJDE) 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Mathematical Biosciences and Engineering 1 Bollettino della Unione Matematica Italiana. Series V. A 1 Lecture Notes in Mathematics 1 Supplemento ai Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Quaderni di Matematica 1 The European Physical Journal B. Condensed Matter and Complex Systems 1 Journal of Physics A: Mathematical and Theoretical 1 Bollettino dell’Unione Matematica Italiana. Series IX 1 Rivista di Matematica della Università di Parma. Serie 8 1 Journal of Theoretical Biology 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Matematica, Cultura e Società. Rivista dell’Unione Matematica Italiana. Serie I 1 Modeling and Simulation in Science, Engineering and Technology all top 5 Fields 119 Statistical mechanics, structure of matter (82-XX) 117 Partial differential equations (35-XX) 93 Fluid mechanics (76-XX) 37 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 30 Probability theory and stochastic processes (60-XX) 22 Information and communication theory, circuits (94-XX) 19 Numerical analysis (65-XX) 16 Integral equations (45-XX) 13 Biology and other natural sciences (92-XX) 9 General and overarching topics; collections (00-XX) 8 Real functions (26-XX) 7 Systems theory; control (93-XX) 6 Statistics (62-XX) 5 Functional analysis (46-XX) 4 Difference and functional equations (39-XX) 3 Mechanics of deformable solids (74-XX) 2 Measure and integration (28-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Operator theory (47-XX) 2 Quantum theory (81-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 187 Publications have been cited 4,345 times in 2,140 Documents Cited by ▼ Year ▼ Asymptotic flocking dynamics for the kinetic Cucker-Smale model. Zbl 1223.35058 Carrillo, J. A.; Fornasier, M.; Rosado, J.; Toscani, G. 261 2010 On convex Sobolev inequalities and the rate of convergence to equilibrium for Fokker-Planck type equations. Zbl 0982.35113 Arnold, Anton; Markowich, Peter; Toscani, Giuseppe; Unterreiter, Andreas 190 2001 Particle, kinetic, and hydrodynamic models of swarming. Zbl 1211.91213 Carrillo, José A.; Fornasier, Massimo; Toscani, Giuseppe; Vecil, Francesco 189 2010 Entropy dissipation methods for degenerate parabolic problems and generalized Sobolev inequalities. Zbl 0984.35027 Carrillo, J. A.; Jüngel, A.; Markowich, P. A.; Toscani, G.; Unterreiter, A. 152 2001 Kinetic models of opinion formation. Zbl 1195.91128 Toscani, Giuseppe 145 2006 Asymptotic \(L^1\)-decay of solutions of the porous medium equation to self-similarity. Zbl 0963.35098 Carrillo, J. A.; Toscani, G. 132 2000 Interacting multiagent systems. Kinetic equations and Monte Carlo methods. Zbl 1330.93004 Pareschi, Lorenzo; Toscani, Giuseppe 129 2014 Uniformly accurate diffusive relaxation schemes for multiscale transport equations. Zbl 0976.65091 Jin, Shi; Pareschi, Lorenzo; Toscani, Giuseppe 105 2000 Mathematical modeling of collective behavior in socio-economic and life sciences. Zbl 1200.91010 87 2010 Diffusive relaxation schemes for multiscale discrete-velocity kinetic equations. Zbl 0938.35097 Jin, Shi; Pareschi, Lorenzo; Toscani, Giuseppe 85 1998 A kinetic flocking model with diffusion. Zbl 1213.35395 Duan, Renjun; Fornasier, Massimo; Toscani, Giuseppe 85 2010 The Wasserstein gradient flow of the Fisher information and the quantum drift-diffusion equation. Zbl 1223.35264 Gianazza, Ugo; Savaré, Giuseppe; Toscani, Giuseppe 84 2009 On a kinetic model for a simple market economy. Zbl 1133.91474 Cordier, Stephane; Pareschi, Lorenzo; Toscani, Giuseppe 79 2005 Diffusive limit for finite velocity Boltzmann kinetic models. Zbl 0896.35109 Lions, Pierre Louis; Toscani, Giuseppe 72 1997 Probability metrics and uniqueness of the solution to the Boltzmann equation for a Maxwell gas. Zbl 0958.82044 Toscani, G.; Villani, C. 71 1999 An asymptotic-preserving well-balanced scheme for the hyperbolic heat equations. Zbl 0996.65093 Gosse, Laurent; Toscani, Giuseppe 67 2002 Fokker-Planck equations in the modeling of socio-economic phenomena. Zbl 1362.35305 Furioli, Giulia; Pulvirenti, Ada; Terraneo, Elide; Toscani, Giuseppe 63 2017 Long-time asymptotics of kinetic models of granular flows. Zbl 1116.82025 Li, Hailiang; Toscani, Giuseppe 62 2004 Metrics for probability distributions and the trend to equilibrium for solutions of the Boltzmann equation. Zbl 1081.82616 Gabetta, E.; Toscani, G.; Wennberg, B. 61 1995 Fluid dynamic description of flocking via the Povzner-Boltzmann equation. Zbl 1213.37121 Fornasier, Massimo; Haskovec, Jan; Toscani, Giuseppe 59 2011 One-dimensional kinetic models of granular flows. Zbl 0981.76098 Toscani, Giuseppe 59 2000 Long-Time asymptotics for strong solutions of the thin film equation. Zbl 0990.35054 Carrillo, J. A.; Toscani, G. 54 2002 On the Cauchy problem for the nonlinear Boltzmann equation global existence uniqueness and asymptotic stability. Zbl 0561.35074 Bellomo, N.; Toscani, G. 52 1985 Propagation of smoothness and the rate of exponential convergence to equilibrium for a spatially homogeneous Maxwellian gas. Zbl 0927.76088 Carlen, E. A.; Gabetta, E.; Toscani, G. 52 1999 Entropy production and the rate of convergence to equilibrium for the Fokker-Planck equation. Zbl 1034.82041 Toscani, G. 51 1999 Relaxation schemes for nonlinear kinetic equations. Zbl 0897.76071 Gabetta, E.; Pareschi, L.; Toscani, G. 50 1997 Mathematical topics in nonlinear kinetic theory. Zbl 0702.76005 Bellomo, Nicola; Palczewski, Andrzej; Toscani, Giuseppe 49 1988 On the trend to equilibrium for some dissipative systems with slowly increasing a priori bounds. Zbl 1034.82032 Toscani, G.; Villani, C. 47 2000 Contractive probability metrics and asymptotic behavior of dissipative kinetic equations. Zbl 1142.82018 Carrillo, J. A.; Toscani, G. 46 2007 Sharp entropy dissipation bounds and explicit rate of trend to equilibrium for the spatially homogeneous Boltzmann equation. Zbl 0944.35066 Toscani, G.; Villani, C. 45 1999 Fast spectral methods for the Fokker-Planck-Landau collision operator. Zbl 1052.82545 Pareschi, L.; Russo, G.; Toscani, G. 45 2000 On steady distributions of kinetic models of conservative economies. Zbl 1138.91020 Matthes, Daniel; Toscani, Giuseppe 38 2008 Lagrangian numerical approximations to one-dimensional convolution-diffusion equations. Zbl 1122.76064 Gosse, Laurent; Toscani, Giuseppe 36 2006 Exponential convergence toward equilibrium for homogeneous Fokker-Planck-type equations. Zbl 0922.35131 Carrillo, J. A.; Toscani, G. 36 1998 On generalized Csiszár-Kullback inequalities. Zbl 1015.94003 Unterreiter, Andreas; Arnold, Anton; Markowich, Peter; Toscani, Giuseppe 35 2000 Entropies and equilibria of many-particle systems: an essay on recent research. Zbl 1063.35109 Arnold, A.; Carrillo, J. A.; Desvillettes, L.; Dolbeault, J.; Jüngel, A.; Lederman, C.; Markowich, P. A.; Toscani, G.; Villani, C. 33 2004 Proof of an asymptotic property of self-similar solutions of the Boltzmann equation for granular materials. Zbl 1119.82318 Bobylev, A. V.; Cercignani, C.; Toscani, G. 31 2003 Space localization and well-balanced schemes for discrete kinetic models in diffusive regimes. Zbl 1130.82340 Gosse, Laurent; Toscani, Giuseppe 30 2003 Contractive metrics for a Boltzmann equation for granular gases: Diffusive equilibria. Zbl 1085.82008 Bisi, M.; Carrillo, J. A.; Toscani, G. 29 2005 On the logarithmic Sobolev inequality. (Sur l’inégalité logarithmique de Sobolev.) Zbl 0905.46018 Toscani, Giuseppe 29 1997 Wealth distribution and collective knowledge: a Boltzmann approach. Zbl 1353.91036 Pareschi, L.; Toscani, G. 29 2014 On large time asymptotics for drift-diffusion-Poisson systems. Zbl 1017.82041 Arnold, Anton; Markowich, Peter; Toscani, Giuseppe 28 2000 Identification of asymptotic decay to self-similarity for one-dimensional filtration equations. Zbl 1145.76048 Gosse, Laurent; Toscani, Giuseppe 28 2006 Kinetic models for the trading of goods. Zbl 1267.82049 Toscani, Giuseppe; Brugna, Carlo; Demichelis, Stefano 28 2013 Wasserstein metric and large-time asymptotics of nonlinear diffusion equations. Zbl 1089.76055 Carrillo, J. A.; Toscani, G. 27 2005 First-order continuous models of opinion formation. Zbl 1128.91043 Aletti, Giacomo; Naldi, Giovanni; Toscani, Giuseppe 26 2007 Asymptotic properties of the inelastic Kac model. Zbl 1072.82030 Pulvirenti, Ada; Toscani, Giuseppe 26 2004 Mathematical topics in nonlinear kinetic theory II. The Enskog equation. Zbl 0733.76061 Bellomo, N.; Lachowicz, M.; Polewczak, J.; Toscani, G. 24 1991 Long-time behavior for a nonlinear fourth-order parabolic equation. Zbl 1077.35028 Cáceres, María J.; Carrillo, J. A.; Toscani, G. 24 2005 On the nonlinear Boltzmann equation in unbounded domains. Zbl 0661.76077 Toscani, G. 23 1986 Global solution of the initial value problem for the Boltzmann equation near a local Maxwellian. Zbl 0665.76085 Toscani, G. 23 1988 Self-similarity and power-like tails in nonconservative kinetic models. Zbl 1134.82037 Pareschi, Lorenzo; Toscani, Giuseppe 23 2006 Improved interpolation inequalities, relative entropy and fast diffusion equations. Zbl 1450.46020 Dolbeault, Jean; Toscani, Giuseppe 23 2013 Spectral methods for the non cut-off Boltzmann equation and numerical grazing collision limit. Zbl 1106.65324 Pareschi, L.; Toscani, G.; Villani, C. 22 2003 Asymptotic-preserving and well-balanced schemes for radiative transfer and the Rosseland approximation. Zbl 1120.65343 Gosse, Laurent; Toscani, Giuseppe 22 2004 Exponential time decay of solutions to a nonlinear fourth-order parabolic equation. Zbl 1029.35033 Jüngel, A.; Toscani, G. 22 2003 The concavity of Rényi entropy power. Zbl 1360.94169 Savaré, Giuseppe; Toscani, Giuseppe 21 2014 Call center service times are lognormal: a Fokker-Planck description. Zbl 1398.35247 Gualandi, Stefano; Toscani, Giuseppe 21 2018 Decay rates in probability metrics towards homogeneous cooling states for the inelastic Maxwell model. Zbl 1135.82028 Bisi, M.; Carrillo, J. A.; Toscani, G. 20 2006 Human behavior and lognormal distribution. A kinetic description. Zbl 1427.35280 Gualandi, Stefano; Toscani, Giuseppe 20 2019 Kinetic and hydrodynamic models of nearly elastic granular flows. Zbl 1136.82366 Toscani, Giuseppe 19 2004 Exponential and algebraic relaxation in kinetic models for wealth distribution. Zbl 1181.91264 Düring, B.; Matthes, D.; Toscani, G. 18 2008 Kinetic models of conservative economies with wealth redistribution. Zbl 1188.91115 Bisi, Marzia; Spiga, Giampiero; Toscani, Giuseppe 18 2009 Exponential decay in time of solutions of the viscous quantum hydrodynamic equations. Zbl 1042.82047 Gualdani, M. P.; Jüngel, A.; Toscani, G. 18 2003 Stability results for logarithmic Sobolev and Gagliardo-Nirenberg inequalities. Zbl 1355.46038 Dolbeault, Jean; Toscani, Giuseppe 18 2016 Poincaré inequalities for linearizations of very fast diffusion equations. Zbl 1011.35025 Carrillo, J. A.; Lederman, C.; Markowich, P. A.; Toscani, G. 18 2002 Kinetic models for epidemic dynamics with social heterogeneity. Zbl 1467.92189 Dimarco, G.; Perthame, B.; Toscani, G.; Zanella, M. 18 2021 The Enskog-Boltzmann equation in the whole space \({\mathbb{R}}^ 3:\) Some global existence, uniqueness and stability results. Zbl 0633.35072 Toscani, G.; Bellomo, N. 17 1987 On the initial value problem for the Boltzmann equation with a force term. Zbl 0699.35237 Bellomo, N.; Lachowicz, M.; Palczewski, A.; Toscani, G. 17 1989 Strict contractivity of the 2-Wasserstein distance for the porous medium equation by mass-centering. Zbl 1125.35053 Carrillo, J. A.; Di Francesco, M.; Toscani, G. 16 2007 The theory of the nonlinear Boltzmann equation for Maxwell molecules in Fourier representation. Zbl 0874.45005 Pulvirenti, A.; Toscani, G. 16 1996 Finite speed of propagation in porous media by mass transportation methods. Zbl 1049.35110 Carrillo, José Antonio; Gualdani, Maria Pia; Toscani, Giuseppe 15 2004 Finite time blow up in Kaniadakis-Quarati model of Bose-Einstein particles. Zbl 1252.35264 Toscani, Giuseppe 14 2012 A Boltzmann-type approach to the formation of wealth distribution curves. Zbl 1189.91097 Düring, Bertram; Matthes, Daniel; Toscani, Giuseppe 14 2009 Kinetic modeling of alcohol consumption. Zbl 1431.35209 Dimarco, Giacomo; Toscani, Giuseppe 14 2019 Non-Maxwellian kinetic equations modeling the dynamics of wealth distribution. Zbl 1444.35138 Furioli, Giulia; Pulvirenti, Ada; Terraneo, Elide; Toscani, Giuseppe 14 2020 Remarks on entropy and equilibrium states. Zbl 0940.35168 Toscani, G. 13 1999 A strengthened central limit theorem for smooth densities. Zbl 0822.60018 Lions, Pierre Louis; Toscani, Giuseppe 13 1995 Kinetic approach to long time behavior of linearized fast diffusion equations. Zbl 1131.82030 Cáceres, María J.; Toscani, Giuseppe 13 2007 Fourier-based distances and Berry-Esseen like inequalities for smooth densities. Zbl 0992.60027 Goudon, Thierry; Junca, Stéphane; Toscani, Giuseppe 13 2002 A Boltzmann-like equation for choice formation. Zbl 1180.35402 Comincioli, Valeriano; Della Croce, Lucia; Toscani, Giuseppe 13 2009 The dissipative linear Boltzmann equation for hard spheres. Zbl 1103.82023 Lods, Bertrand; Toscani, Giuseppe 13 2004 An information-theoretic proof of Nash’s inequality. Zbl 1301.62006 Toscani, Giuseppe 13 2013 Fast diffusion equations: matching large time asymptotics by relative entropy methods. Zbl 1252.35065 Dolbeault, Jean; Toscani, Giuseppe 11 2011 The dissipative linear Boltzmann equation. Zbl 1083.82027 Spiga, G.; Toscani, G. 11 2004 Nonlinear diffusions: extremal properties of Barenblatt profiles, best matching and delays. Zbl 1334.35098 Dolbeault, Jean; Toscani, Giuseppe 11 2016 Hydrodynamic models of preference formation in multi-agent societies. Zbl 1427.35156 Pareschi, Lorenzo; Toscani, Giuseppe; Tosin, Andrea; Zanella, Mattia 11 2019 The grazing collision limit of the inelastic Kac model around a Lévy-type equilibrium. Zbl 1387.76094 Furioli, G.; Pulvirenti, A.; Terraneo, E.; Toscani, G. 10 2012 International and domestic trading and wealth distribution. Zbl 1158.91430 Düring, B.; Toscani, G. 10 2008 Over-populated tails for conservative-in-the-mean inelastic Maxwell models. Zbl 1163.82008 Carrillo, José A.; Cordier, Stéphane; Toscani, Giuseppe 10 2009 Accurate numerical methods for the collisional motion of (heated) granular flows. Zbl 1288.76056 Filbet, Francis; Pareschi, Lorenzo; Toscani, Giuseppe 10 2005 On the generalization of the Boltzmann \(H\)-theorem for spatially homogeneous Maxwell gas. Zbl 0825.76713 Bobylev, A. V.; Toscani, G. 10 1992 Convex Sobolev inequalities derived from entropy dissipation. Zbl 1229.35302 Matthes, Daniel; Jüngel, Ansgar; Toscani, Giuseppe 9 2011 Wealth distribution in presence of debts: a Fokker-Planck description. Zbl 1388.91137 Torregrossa, Marco; Toscani, Giuseppe 9 2018 Grad’s equations and hydrodynamics for weakly inelastic granular flows. Zbl 1187.76049 Bisi, M.; Spiga, G.; Toscani, G. 9 2004 Relaxation schemes for partial differential equations and applications to degenerate diffusion problems. Zbl 1028.35104 Naldi, Giovanni; Pareschi, Lorenzo; Toscani, Giuseppe 9 2002 Explicit equilibria in bilinear kinetic models for socio-economic interactions. Zbl 1335.91049 Bassetti, Federico; Toscani, Giuseppe 9 2014 Boltzmann-type models for price formation in the presence of behavioral aspects. Zbl 1342.35204 Brugna, Carlo; Toscani, Giuseppe 9 2015 Control of tumor growth distributions through kinetic methods. Zbl 1460.92057 Preziosi, Luigi; Toscani, Giuseppe; Zanella, Mattia 9 2021 Global existence uniqueness and stability of the nonlinear Boltzmann equation with almost general gas-particles interaction potential. Zbl 0642.76093 Toscani, G.; Bellomo, N. 8 1985 Kinetic modelling of epidemic dynamics: social contacts, control with uncertain data, and multiscale spatial dynamics. Zbl 1504.92109 Albi, Giacomo; Bertaglia, Giulia; Boscheri, Walter; Dimarco, Giacomo; Pareschi, Lorenzo; Toscani, Giuseppe; Zanella, Mattia 5 2022 A multi-agent approach to the impact of epidemic spreading on commercial activities. Zbl 1512.35583 Toscani, Giuseppe 2 2022 Kinetic models for epidemic dynamics with social heterogeneity. Zbl 1467.92189 Dimarco, G.; Perthame, B.; Toscani, G.; Zanella, M. 18 2021 Control of tumor growth distributions through kinetic methods. Zbl 1460.92057 Preziosi, Luigi; Toscani, Giuseppe; Zanella, Mattia 9 2021 A data-driven epidemic model with social structure for understanding the COVID-19 infection on a heavily affected Italian province. Zbl 1481.92174 Zanella, Mattia; Bardelli, Chiara; Dimarco, Giacomo; Deandrea, Silvia; Perotti, Pietro; Azzi, Mara; Figini, Silvia; Toscani, Giuseppe 7 2021 Entropy-type inequalities for generalized gamma densities. Zbl 1473.35575 Toscani, Giuseppe 4 2021 Social contacts, epidemic spreading and health system. Mathematical modeling and applications to COVID-19 infection. Zbl 1471.92367 Zanella, Mattia; Bardelli, Chiara; Azzi, Mara; Deandrea, Silvia; Perotti, Pietro; Silva, Santino; Cadum, Ennio; Figini, Silvia; Toscani, Giuseppe 4 2021 On a class of Fokker-Planck equations with subcritical confinement. Zbl 1491.82016 Toscani, Giuseppe; Zanella, Mattia 1 2021 Non-Maxwellian kinetic equations modeling the dynamics of wealth distribution. Zbl 1444.35138 Furioli, Giulia; Pulvirenti, Ada; Terraneo, Elide; Toscani, Giuseppe 14 2020 Social climbing and Amoroso distribution. Zbl 1451.35222 Dimarco, Giacomo; Toscani, Giuseppe 6 2020 Kinetic modelling of multiple interactions in socio-economic systems. Zbl 1451.35103 Toscani, Giuseppe; Tosin, Andrea; Zanella, Mattia 5 2020 Human behavior and lognormal distribution. A kinetic description. Zbl 1427.35280 Gualandi, Stefano; Toscani, Giuseppe 20 2019 Kinetic modeling of alcohol consumption. Zbl 1431.35209 Dimarco, Giacomo; Toscani, Giuseppe 14 2019 Hydrodynamic models of preference formation in multi-agent societies. Zbl 1427.35156 Pareschi, Lorenzo; Toscani, Giuseppe; Tosin, Andrea; Zanella, Mattia 11 2019 Wright-Fisher-type equations for opinion formation, large time behavior and weighted logarithmic-Sobolev inequalities. Zbl 1434.35238 Furioli, Giulia; Pulvirenti, Ada; Terraneo, Elide; Toscani, Giuseppe 8 2019 Size distribution of cities: a kinetic explanation. Zbl 07563847 Gualandi, Stefano; Toscani, Giuseppe 4 2019 Poincaré-type inequalities for stable densities. Zbl 1422.60038 Toscani, Giuseppe 1 2019 The information-theoretic meaning of Gagliardo-Nirenberg type inequalities. Zbl 1423.35136 Toscani, Giuseppe 1 2019 Call center service times are lognormal: a Fokker-Planck description. Zbl 1398.35247 Gualandi, Stefano; Toscani, Giuseppe 21 2018 Wealth distribution in presence of debts: a Fokker-Planck description. Zbl 1388.91137 Torregrossa, Marco; Toscani, Giuseppe 9 2018 Kinetic models for optimal control of wealth inequalities. Zbl 1515.91070 Düring, Bertram; Pareschi, Lorenzo; Toscani, Giuseppe 5 2018 On a Fokker-Planck equation for wealth distribution. Zbl 1405.91180 Torregrossa, Marco; Toscani, Giuseppe 5 2018 Kinetic models for goods exchange in a multi-agent market. Zbl 1514.91208 Brugna, Carlo; Toscani, Giuseppe 3 2018 A Rosenau-type approach to the approximation of the linear Fokker-Planck equation. Zbl 1405.65100 Toscani, Giuseppe 2 2018 Fokker-Planck equations in the modeling of socio-economic phenomena. Zbl 1362.35305 Furioli, Giulia; Pulvirenti, Ada; Terraneo, Elide; Toscani, Giuseppe 63 2017 Score functions, generalized relative Fisher information and applications. Zbl 1374.60028 Toscani, Giuseppe 4 2017 Continuum models in wealth distribution. Zbl 1378.35308 Toscani, Giuseppe 1 2017 Stability results for logarithmic Sobolev and Gagliardo-Nirenberg inequalities. Zbl 1355.46038 Dolbeault, Jean; Toscani, Giuseppe 18 2016 Nonlinear diffusions: extremal properties of Barenblatt profiles, best matching and delays. Zbl 1334.35098 Dolbeault, Jean; Toscani, Giuseppe 11 2016 The fractional Fisher information and the central limit theorem for stable laws. Zbl 1366.60064 Toscani, Giuseppe 7 2016 Condensation phenomena in nonlinear drift equations. Zbl 1355.35134 Carrillo, José A.; Di Francesco, Marco; Toscani, Giuseppe 6 2016 Entropy inequalities for stable densities and strengthened central limit theorems. Zbl 1356.60039 Toscani, Giuseppe 3 2016 Kinetic and mean field description of Gibrat’s law. Zbl 1400.91403 Toscani, Giuseppe 1 2016 Boltzmann-type models for price formation in the presence of behavioral aspects. Zbl 1342.35204 Brugna, Carlo; Toscani, Giuseppe 9 2015 Best matching Barenblatt profiles are delayed. Zbl 1311.35132 Dolbeault, Jean; Toscani, Giuseppe 4 2015 Mean field dynamics of interaction processes with duplication, loss and copy. Zbl 1334.92329 Bassetti, Federico; Toscani, Giuseppe 4 2015 A strengthened entropy power inequality for log-concave densities. Zbl 1359.94371 Toscani, Giuseppe 4 2015 On Rosenau-type approximations to fractional diffusion equations. Zbl 1332.35379 Furioli, Giulia; Pulvirenti, Ada; Terraneo, Elide; Toscani, Giuseppe 3 2015 Interacting multiagent systems. Kinetic equations and Monte Carlo methods. Zbl 1330.93004 Pareschi, Lorenzo; Toscani, Giuseppe 129 2014 Wealth distribution and collective knowledge: a Boltzmann approach. Zbl 1353.91036 Pareschi, L.; Toscani, G. 29 2014 The concavity of Rényi entropy power. Zbl 1360.94169 Savaré, Giuseppe; Toscani, Giuseppe 21 2014 Explicit equilibria in bilinear kinetic models for socio-economic interactions. Zbl 1335.91049 Bassetti, Federico; Toscani, Giuseppe 9 2014 Rényi entropy and improved equilibration rates to self-similarity for nonlinear diffusion equations. Zbl 1307.35141 Carrillo, J. A.; Toscani, G. 8 2014 Rényi entropies and nonlinear diffusion equations. Zbl 1308.94044 Toscani, Giuseppe 5 2014 Heat equation and convolution inequalities. Zbl 1303.26023 Toscani, Giuseppe 5 2014 Kinetic models for the trading of goods. Zbl 1267.82049 Toscani, Giuseppe; Brugna, Carlo; Demichelis, Stefano 28 2013 Improved interpolation inequalities, relative entropy and fast diffusion equations. Zbl 1450.46020 Dolbeault, Jean; Toscani, Giuseppe 23 2013 An information-theoretic proof of Nash’s inequality. Zbl 1301.62006 Toscani, Giuseppe 13 2013 A kinetic description of mutation processes in bacteria. Zbl 1321.92071 Toscani, Giuseppe 5 2013 Large-time behavior of the solutions to Rosenau-type approximations to the heat equation. Zbl 1278.35022 Rey, Thomas; Toscani, Giuseppe 2 2013 Finite time blow up in Kaniadakis-Quarati model of Bose-Einstein particles. Zbl 1252.35264 Toscani, Giuseppe 14 2012 The grazing collision limit of the inelastic Kac model around a Lévy-type equilibrium. Zbl 1387.76094 Furioli, G.; Pulvirenti, A.; Terraneo, E.; Toscani, G. 10 2012 Measure valued solutions of sub-linear diffusion equations with a drift term. Zbl 1267.35100 Fornaro, Simona; Lisini, Stefano; Savaré, Giuseppe; Toscani, Giuseppe 3 2012 Variation on a theme by Bobylëv and Villani. Zbl 1245.82057 Matthes, Daniel; Toscani, Giuseppe 1 2012 Fluid dynamic description of flocking via the Povzner-Boltzmann equation. Zbl 1213.37121 Fornasier, Massimo; Haskovec, Jan; Toscani, Giuseppe 59 2011 Fast diffusion equations: matching large time asymptotics by relative entropy methods. Zbl 1252.35065 Dolbeault, Jean; Toscani, Giuseppe 11 2011 Convex Sobolev inequalities derived from entropy dissipation. Zbl 1229.35302 Matthes, Daniel; Jüngel, Ansgar; Toscani, Giuseppe 9 2011 On the minimization problem of sub-linear convex functionals. Zbl 1251.35168 Ben Abdallah, Naoufel; Gamba, Irene M.; Toscani, Giuseppe 8 2011 Kinetic models with randomly perturbed binary collisions. Zbl 1220.82094 Bassetti, Federico; Ladelli, Lucia; Toscani, Giuseppe 4 2011 The grazing collision limit of Kac caricature of Bose-Einstein particles. Zbl 1225.35241 Allemand, Thibaut; Toscani, Giuseppe 2 2011 Asymptotic flocking dynamics for the kinetic Cucker-Smale model. Zbl 1223.35058 Carrillo, J. A.; Fornasier, M.; Rosado, J.; Toscani, G. 261 2010 Particle, kinetic, and hydrodynamic models of swarming. Zbl 1211.91213 Carrillo, José A.; Fornasier, Massimo; Toscani, Giuseppe; Vecil, Francesco 189 2010 Mathematical modeling of collective behavior in socio-economic and life sciences. Zbl 1200.91010 87 2010 A kinetic flocking model with diffusion. Zbl 1213.35395 Duan, Renjun; Fornasier, Massimo; Toscani, Giuseppe 85 2010 Wealth redistribution in Boltzmann-like models of conservative economies. Zbl 1188.91164 Toscani, Giuseppe; Brugna, Carlo 3 2010 Propagation of Sobolev regularity for a class of random kinetic models on the real line. Zbl 1203.82073 Matthes, Daniel; Toscani, Giuseppe 3 2010 Convergence to self-similarity for the Boltzmann equation for strongly inelastic Maxwell molecules. Zbl 1425.82016 Furioli, G.; Pulvirenti, A.; Terraneo, E.; Toscani, G. 2 2010 The Wasserstein gradient flow of the Fisher information and the quantum drift-diffusion equation. Zbl 1223.35264 Gianazza, Ugo; Savaré, Giuseppe; Toscani, Giuseppe 84 2009 Kinetic models of conservative economies with wealth redistribution. Zbl 1188.91115 Bisi, Marzia; Spiga, Giampiero; Toscani, Giuseppe 18 2009 A Boltzmann-type approach to the formation of wealth distribution curves. Zbl 1189.91097 Düring, Bertram; Matthes, Daniel; Toscani, Giuseppe 14 2009 A Boltzmann-like equation for choice formation. Zbl 1180.35402 Comincioli, Valeriano; Della Croce, Lucia; Toscani, Giuseppe 13 2009 Over-populated tails for conservative-in-the-mean inelastic Maxwell models. Zbl 1163.82008 Carrillo, José A.; Cordier, Stéphane; Toscani, Giuseppe 10 2009 The diffusive limit of Carleman-type models in the range of very fast diffusion equations. Zbl 1239.35070 Salvarani, Francesco; Toscani, Giuseppe 5 2009 Strong convergence towards self-similarity for one-dimensional dissipative Maxwell models. Zbl 1180.82150 Furioli, G.; Pulvirenti, A.; Terraneo, E.; Toscani, G. 1 2009 On steady distributions of kinetic models of conservative economies. Zbl 1138.91020 Matthes, Daniel; Toscani, Giuseppe 38 2008 Exponential and algebraic relaxation in kinetic models for wealth distribution. Zbl 1181.91264 Düring, B.; Matthes, D.; Toscani, G. 18 2008 International and domestic trading and wealth distribution. Zbl 1158.91430 Düring, B.; Toscani, G. 10 2008 Relaxation rate, diffusion approximation and Fick’s law for inelastic scattering Boltzmann models. Zbl 1144.35348 Lods, Bertrand; Mouhot, Clément; Toscani, Giuseppe 7 2008 Analysis of a model for wealth redistribution. Zbl 1148.35304 Matthes, Daniel; Toscani, Giuseppe 6 2008 Hydrodynamics from the dissipative Boltzmann equation. Zbl 1298.76212 Toscani, Giuseppe 3 2008 Contractive probability metrics and asymptotic behavior of dissipative kinetic equations. Zbl 1142.82018 Carrillo, J. A.; Toscani, G. 46 2007 First-order continuous models of opinion formation. Zbl 1128.91043 Aletti, Giacomo; Naldi, Giovanni; Toscani, Giuseppe 26 2007 Strict contractivity of the 2-Wasserstein distance for the porous medium equation by mass-centering. Zbl 1125.35053 Carrillo, J. A.; Di Francesco, M.; Toscani, G. 16 2007 Kinetic approach to long time behavior of linearized fast diffusion equations. Zbl 1131.82030 Cáceres, María J.; Toscani, Giuseppe 13 2007 Kinetic models of opinion formation. Zbl 1195.91128 Toscani, Giuseppe 145 2006 Lagrangian numerical approximations to one-dimensional convolution-diffusion equations. Zbl 1122.76064 Gosse, Laurent; Toscani, Giuseppe 36 2006 Identification of asymptotic decay to self-similarity for one-dimensional filtration equations. Zbl 1145.76048 Gosse, Laurent; Toscani, Giuseppe 28 2006 Self-similarity and power-like tails in nonconservative kinetic models. Zbl 1134.82037 Pareschi, Lorenzo; Toscani, Giuseppe 23 2006 Decay rates in probability metrics towards homogeneous cooling states for the inelastic Maxwell model. Zbl 1135.82028 Bisi, M.; Carrillo, J. A.; Toscani, G. 20 2006 Intermediate asymptotics beyond homogeneity and self-similarity: long time behavior for \(u_t = \Delta\varphi(u)\). Zbl 1096.35015 Carrillo, José A.; Di Francesco, Marco; Toscani, Giuseppe 7 2006 On a kinetic model for a simple market economy. Zbl 1133.91474 Cordier, Stephane; Pareschi, Lorenzo; Toscani, Giuseppe 79 2005 Contractive metrics for a Boltzmann equation for granular gases: Diffusive equilibria. Zbl 1085.82008 Bisi, M.; Carrillo, J. A.; Toscani, G. 29 2005 Wasserstein metric and large-time asymptotics of nonlinear diffusion equations. Zbl 1089.76055 Carrillo, J. A.; Toscani, G. 27 2005 Long-time behavior for a nonlinear fourth-order parabolic equation. Zbl 1077.35028 Cáceres, María J.; Carrillo, J. A.; Toscani, G. 24 2005 Accurate numerical methods for the collisional motion of (heated) granular flows. Zbl 1288.76056 Filbet, Francis; Pareschi, Lorenzo; Toscani, Giuseppe 10 2005 A central limit theorem for solutions of the porous medium equation. Zbl 1082.35091 Toscani, Giuseppe 5 2005 Large-time asymptotics for nonlinear diffusions: the initial-boundary value problem. Zbl 1076.35057 Salvarani, F.; Toscani, G. 2 2005 Long-time asymptotics of kinetic models of granular flows. Zbl 1116.82025 Li, Hailiang; Toscani, Giuseppe 62 2004 Entropies and equilibria of many-particle systems: an essay on recent research. Zbl 1063.35109 Arnold, A.; Carrillo, J. A.; Desvillettes, L.; Dolbeault, J.; Jüngel, A.; Lederman, C.; Markowich, P. A.; Toscani, G.; Villani, C. 33 2004 Asymptotic properties of the inelastic Kac model. Zbl 1072.82030 Pulvirenti, Ada; Toscani, Giuseppe 26 2004 ...and 87 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,081 Authors 123 Carrillo de la Plata, José Antonio 98 Toscani, Giuseppe 84 Ha, Seung-Yeal 73 Pareschi, Lorenzo 48 Dolbeault, Jean 42 Bellomo, Nicola 34 Choi, Young-Pil 32 Zanella, Mattia 26 Jüngel, Ansgar 24 Jin, Shi 23 Dimarco, Giacomo 22 Matthes, Daniel 21 Degond, Pierre 21 Tosin, Andrea 20 Herty, Michael Matthias 20 Kim, Jeongho 19 Albi, Giacomo 18 Desvillettes, Laurent 18 Martínez Gamba, Irene 18 Markowich, Peter Alexander 17 Burger, Martin 17 Haskovec, Jan 17 Mouhot, Clément 16 Carlen, Eric Anders 16 Gabetta, Ester 16 Lachowicz, Mirosław 16 Mischler, Stéphane 16 Vauchelet, Nicolas 16 Zhang, Xiongtao 15 Chen, Li 15 Di Francesco, Marco 15 Gosse, Laurent 15 Goudon, Thierry 15 McCann, Robert J. 15 Vazquez, Juan Luis 14 Buet, Christophe 14 Hu, Jingwei 14 Klar, Axel 14 Villani, Cédric 13 Cañizo, José Alfredo 13 Fellner, Klemens 13 Fetecau, Razvan C. 13 Filbet, Francis 13 Loss, Michael 13 Yang, Tong 12 Berthon, Christophe 12 Bisi, Marzia 12 Brezzi, Franco 12 Esteban, Maria J. 12 Fornasier, Massimo 12 Lods, Bertrand 12 Piccoli, Benedetto 12 Saintier, Nicolas 12 Wolfram, Marie-Therese 11 Ahn, Hyunjin 11 Arnold, Anton 11 Düring, Bertram 11 Fagioli, Simone 11 Pinasco, Juan Pablo 11 Soler, Juan S. 11 Tse, Oliver 11 Wang, Li 11 Yun, Seok-Bae 10 Calvez, Vincent 10 Chen, Xiuqing 10 Dong, Jiu-Gang 10 Knopoff, Damian A. 10 Liu, Chun 10 Liu, Hailiang 10 Park, Jinyeong 10 Perthame, Benoît 10 Peszek, Jan 10 Rey, Thomas 10 Salvarani, Francesco 10 Samaey, Giovanni 10 Savaré, Giuseppe 10 Turpault, Rodolphe 10 Zhang, Xianwen 10 Zinsl, Jonathan 9 Blanchet, Adrien 9 Bonforte, Matteo 9 Chainais-Hillairet, Claire 9 Després, Bruno 9 Fournier, Nicolas 9 Huang, Yanghong 9 Jin, Chunyin 9 Kim, Doheon 9 Ko, Dongnam 9 Lemou, Mohammed 9 Liu, Jianguo 9 Motsch, Sébastien 9 Pulvirenti, Ada 9 Regazzini, Eugenio 9 Tadmor, Eitan 9 Tan, Changhui 9 Winkler, Michael 8 Amadori, Debora 8 Bolley, François 8 Carvalho, Maria Conceição 8 Duan, Renjun ...and 1,981 more Authors all top 5 Cited in 279 Serials 153 M\(^3\)AS. 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