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Author ID: toscani.giuseppe Recent zbMATH articles by "Toscani, Giuseppe"
Published as: Toscani, Giuseppe; Toscani, G.
Homepage: http://www-dimat.unipv.it/toscani/
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Co-Authors

54 single-authored
23 Pareschi, Lorenzo
19 Carrillo de la Plata, José Antonio
13 Pulvirenti, Ada
11 Naldi, Giovanni
10 Gabetta, Ester
8 Bellomo, Nicola
8 Furioli, Giulia
8 Terraneo, Elide
7 Markowich, Peter Alexander
7 Matthes, Daniel
7 Spiga, Giampiero
7 Zanella, Mattia
6 Bisi, Marzia
6 Comincioli, Valeriano
6 Dolbeault, Jean
6 Jüngel, Ansgar
5 Arnold, Anton
5 Gosse, Laurent
5 Villani, Cédric
4 Brugna, Carlo
4 Dimarco, Giacomo
4 Fornasier, Massimo
4 Gualandi, Stefano
4 Monaco, Roberto
3 Bassetti, Federico
3 Bobylev, Alexandre Vasiljévitch
3 Düring, Bertram
3 Frosali, Giovanni
3 Lods, Bertrand
3 López, José Luis
3 Palczewski, Andrzej
3 Savaré, Giuseppe
3 Soler, Juan S.
3 Unterreiter, Andreas
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 Cadum, Ennio
1 Carlen, Eric Anders
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 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 Rey, Thomas
1 Rionero, Salvatore
1 Rosado, Jesús
1 Scapolla, Terenzio
1 Silva, Santino
1 Van der Mee, Cornelis Victor Maria
1 Vecil, Francesco
1 Veneroni, Marco
1 Waluś, Włodzimierz
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Serials

16 Journal of Statistical Physics
9 Kinetic and Related Models
8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
7 Archive for Rational Mechanics and Analysis
7 Journal of Mathematical Physics
7 Transport Theory and Statistical Physics
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
5 Communications in Mathematical Sciences
4 Physica A
4 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII
4 Ricerche di Matematica
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 Applied Mathematics Letters
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 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

Publications by Year

Citations contained in zbMATH Open

180 Publications have been cited 3,761 times in 1,854 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.
218
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
165
2001
Particle, kinetic, and hydrodynamic models of swarming. Zbl 1211.91213
Carrillo, José A.; Fornasier, Massimo; Toscani, Giuseppe; Vecil, Francesco
144
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.
131
2001
Kinetic models of opinion formation. Zbl 1195.91128
Toscani, Giuseppe
120
2006
Asymptotic \(L^1\)-decay of solutions of the porous medium equation to self-similarity. Zbl 0963.35098
Carrillo, J. A.; Toscani, G.
116
2000
Interacting multiagent systems. Kinetic equations and Monte Carlo methods. Zbl 1330.93004
Pareschi, Lorenzo; Toscani, Giuseppe
96
2014
Uniformly accurate diffusive relaxation schemes for multiscale transport equations. Zbl 0976.65091
Jin, Shi; Pareschi, Lorenzo; Toscani, Giuseppe
89
2000
A kinetic flocking model with diffusion. Zbl 1213.35395
Duan, Renjun; Fornasier, Massimo; Toscani, Giuseppe
77
2010
Diffusive relaxation schemes for multiscale discrete-velocity kinetic equations. Zbl 0938.35097
Jin, Shi; Pareschi, Lorenzo; Toscani, Giuseppe
76
1998
The Wasserstein gradient flow of the Fisher information and the quantum drift-diffusion equation. Zbl 1223.35264
Gianazza, Ugo; Savaré, Giuseppe; Toscani, Giuseppe
75
2009
Mathematical modeling of collective behavior in socio-economic and life sciences. Zbl 1200.91010
73
2010
Diffusive limit for finite velocity Boltzmann kinetic models. Zbl 0896.35109
Lions, Pierre Louis; Toscani, Giuseppe
66
1997
Probability metrics and uniqueness of the solution to the Boltzmann equation for a Maxwell gas. Zbl 0958.82044
Toscani, G.; Villani, C.
66
1999
On a kinetic model for a simple market economy. Zbl 1133.91474
Cordier, Stephane; Pareschi, Lorenzo; Toscani, Giuseppe
65
2005
An asymptotic-preserving well-balanced scheme for the hyperbolic heat equations. Zbl 0996.65093
Gosse, Laurent; Toscani, Giuseppe
61
2002
Long-time asymptotics of kinetic models of granular flows. Zbl 1116.82025
Li, Hailiang; Toscani, Giuseppe
59
2004
One-dimensional kinetic models of granular flows. Zbl 0981.76098
Toscani, Giuseppe
56
2000
Metrics for probability distributions and the trend to equilibrium for solutions of the Boltzmann equation. Zbl 1081.82616
Gabetta, E.; Toscani, G.; Wennberg, B.
55
1995
Fluid dynamic description of flocking via the Povzner-Boltzmann equation. Zbl 1213.37121
Fornasier, Massimo; Haskovec, Jan; Toscani, Giuseppe
52
2011
On the Cauchy problem for the nonlinear Boltzmann equation global existence uniqueness and asymptotic stability. Zbl 0561.35074
Bellomo, N.; Toscani, G.
50
1985
Long-Time asymptotics for strong solutions of the thin film equation. Zbl 0990.35054
Carrillo, J. A.; Toscani, G.
50
2002
Fokker-Planck equations in the modeling of socio-economic phenomena. Zbl 1362.35305
Furioli, Giulia; Pulvirenti, Ada; Terraneo, Elide; Toscani, Giuseppe
50
2017
Mathematical topics in nonlinear kinetic theory. Zbl 0702.76005
Bellomo, Nicola; Palczewski, Andrzej; Toscani, Giuseppe
48
1988
Relaxation schemes for nonlinear kinetic equations. Zbl 0897.76071
Gabetta, E.; Pareschi, L.; Toscani, G.
48
1997
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.
47
1999
Entropy production and the rate of convergence to equilibrium for the Fokker-Planck equation. Zbl 1034.82041
Toscani, G.
45
1999
Sharp entropy dissipation bounds and explicit rate of trend to equilibrium for the spatially homogeneous Boltzmann equation. Zbl 0944.35066
Toscani, G.; Villani, C.
40
1999
Contractive probability metrics and asymptotic behavior of dissipative kinetic equations. Zbl 1142.82018
Carrillo, J. A.; Toscani, G.
39
2007
Fast spectral methods for the Fokker-Planck-Landau collision operator. Zbl 1052.82545
Pareschi, L.; Russo, G.; Toscani, G.
38
2000
On the trend to equilibrium for some dissipative systems with slowly increasing a priori bounds. Zbl 1034.82032
Toscani, G.; Villani, C.
37
2000
On generalized Csiszár-Kullback inequalities. Zbl 1015.94003
Unterreiter, Andreas; Arnold, Anton; Markowich, Peter; Toscani, Giuseppe
33
2000
Lagrangian numerical approximations to one-dimensional convolution-diffusion equations. Zbl 1122.76064
Gosse, Laurent; Toscani, Giuseppe
33
2006
Exponential convergence toward equilibrium for homogeneous Fokker-Planck-type equations. Zbl 0922.35131
Carrillo, J. A.; Toscani, G.
33
1998
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.
31
2004
Space localization and well-balanced schemes for discrete kinetic models in diffusive regimes. Zbl 1130.82340
Gosse, Laurent; Toscani, Giuseppe
30
2003
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.
29
2003
On the logarithmic Sobolev inequality. (Sur l’inégalité logarithmique de Sobolev.) Zbl 0905.46018
Toscani, Giuseppe
29
1997
Contractive metrics for a Boltzmann equation for granular gases: Diffusive equilibria. Zbl 1085.82008
Bisi, M.; Carrillo, J. A.; Toscani, G.
28
2005
Kinetic models for the trading of goods. Zbl 1267.82049
Toscani, Giuseppe; Brugna, Carlo; Demichelis, Stefano
28
2013
On steady distributions of kinetic models of conservative economies. Zbl 1138.91020
Matthes, Daniel; Toscani, Giuseppe
28
2008
Identification of asymptotic decay to self-similarity for one-dimensional filtration equations. Zbl 1145.76048
Gosse, Laurent; Toscani, Giuseppe
27
2006
Wasserstein metric and large-time asymptotics of nonlinear diffusion equations. Zbl 1089.76055
Carrillo, J. A.; Toscani, G.
26
2005
On large time asymptotics for drift-diffusion-Poisson systems. Zbl 1017.82041
Arnold, Anton; Markowich, Peter; Toscani, Giuseppe
24
2000
Mathematical topics in nonlinear kinetic theory II. The Enskog equation. Zbl 0733.76061
Bellomo, N.; Lachowicz, M.; Polewczak, J.; Toscani, G.
24
1991
Wealth distribution and collective knowledge: a Boltzmann approach. Zbl 1353.91036
Pareschi, L.; Toscani, G.
24
2014
Asymptotic properties of the inelastic Kac model. Zbl 1072.82030
Pulvirenti, Ada; Toscani, Giuseppe
23
2004
Self-similarity and power-like tails in nonconservative kinetic models. Zbl 1134.82037
Pareschi, Lorenzo; Toscani, Giuseppe
23
2006
Long-time behavior for a nonlinear fourth-order parabolic equation. Zbl 1077.35028
Cáceres, María J.; Carrillo, J. A.; Toscani, G.
22
2005
First-order continuous models of opinion formation. Zbl 1128.91043
Aletti, Giacomo; Naldi, Giovanni; Toscani, Giuseppe
21
2007
On the nonlinear Boltzmann equation in unbounded domains. Zbl 0661.76077
Toscani, G.
21
1986
Asymptotic-preserving and well-balanced schemes for radiative transfer and the Rosseland approximation. Zbl 1120.65343
Gosse, Laurent; Toscani, Giuseppe
21
2004
Exponential time decay of solutions to a nonlinear fourth-order parabolic equation. Zbl 1029.35033
Jüngel, A.; Toscani, G.
20
2003
Global solution of the initial value problem for the Boltzmann equation near a local Maxwellian. Zbl 0665.76085
Toscani, G.
20
1988
Spectral methods for the non cut-off Boltzmann equation and numerical grazing collision limit. Zbl 1106.65324
Pareschi, L.; Toscani, G.; Villani, C.
19
2003
Improved interpolation inequalities, relative entropy and fast diffusion equations. Zbl 1450.46020
Dolbeault, Jean; Toscani, Giuseppe
19
2013
Decay rates in probability metrics towards homogeneous cooling states for the inelastic Maxwell model. Zbl 1135.82028
Bisi, M.; Carrillo, J. A.; Toscani, G.
18
2006
The concavity of Rényi entropy power. Zbl 1360.94169
Savaré, Giuseppe; Toscani, Giuseppe
18
2014
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
Kinetic and hydrodynamic models of nearly elastic granular flows. Zbl 1136.82366
Toscani, Giuseppe
17
2004
Poincaré inequalities for linearizations of very fast diffusion equations. Zbl 1011.35025
Carrillo, J. A.; Lederman, C.; Markowich, P. A.; Toscani, G.
17
2002
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.
16
1987
The theory of the nonlinear Boltzmann equation for Maxwell molecules in Fourier representation. Zbl 0874.45005
Pulvirenti, A.; Toscani, G.
16
1996
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
Exponential decay in time of solutions of the viscous quantum hydrodynamic equations. Zbl 1042.82047
Gualdani, M. P.; Jüngel, A.; Toscani, G.
15
2003
Stability results for logarithmic Sobolev and Gagliardo-Nirenberg inequalities. Zbl 1355.46038
Dolbeault, Jean; Toscani, Giuseppe
15
2016
Kinetic models of conservative economies with wealth redistribution. Zbl 1188.91115
Bisi, Marzia; Spiga, Giampiero; Toscani, Giuseppe
14
2009
Finite speed of propagation in porous media by mass transportation methods. Zbl 1049.35110
Carrillo, José Antonio; Gualdani, Maria Pia; Toscani, Giuseppe
14
2004
Call center service times are lognormal: a Fokker-Planck description. Zbl 1398.35247
Gualandi, Stefano; Toscani, Giuseppe
13
2018
A strengthened central limit theorem for smooth densities. Zbl 0822.60018
Lions, Pierre Louis; Toscani, Giuseppe
13
1995
Fourier-based distances and Berry-Esseen like inequalities for smooth densities. Zbl 0992.60027
Goudon, Thierry; Junca, Stéphane; Toscani, Giuseppe
13
2002
The dissipative linear Boltzmann equation for hard spheres. Zbl 1103.82023
Lods, Bertrand; Toscani, Giuseppe
13
2004
Remarks on entropy and equilibrium states. Zbl 0940.35168
Toscani, G.
13
1999
Human behavior and lognormal distribution. A kinetic description. Zbl 1427.35280
Gualandi, Stefano; Toscani, Giuseppe
13
2019
A Boltzmann-type approach to the formation of wealth distribution curves. Zbl 1189.91097
Düring, Bertram; Matthes, Daniel; Toscani, Giuseppe
12
2009
A Boltzmann-like equation for choice formation. Zbl 1180.35402
Comincioli, Valeriano; Della Croce, Lucia; Toscani, Giuseppe
12
2009
An information-theoretic proof of Nash’s inequality. Zbl 1301.62006
Toscani, Giuseppe
12
2013
Finite time blow up in Kaniadakis-Quarati model of Bose-Einstein particles. Zbl 1252.35264
Toscani, Giuseppe
12
2012
Kinetic approach to long time behavior of linearized fast diffusion equations. Zbl 1131.82030
Cáceres, María J.; Toscani, Giuseppe
11
2007
The dissipative linear Boltzmann equation. Zbl 1083.82027
Spiga, G.; Toscani, G.
11
2004
Kinetic modeling of alcohol consumption. Zbl 1431.35209
Dimarco, Giacomo; Toscani, Giuseppe
11
2019
Nonlinear diffusions: extremal properties of Barenblatt profiles, best matching and delays. Zbl 1334.35098
Dolbeault, Jean; Toscani, Giuseppe
11
2016
On the generalization of the Boltzmann \(H\)-theorem for spatially homogeneous Maxwell gas. Zbl 0825.76713
Bobylev, A. V.; Toscani, G.
10
1992
Over-populated tails for conservative-in-the-mean inelastic Maxwell models. Zbl 1163.82008
Carrillo, José A.; Cordier, Stéphane; Toscani, Giuseppe
10
2009
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
Fast diffusion equations: matching large time asymptotics by relative entropy methods. Zbl 1252.35065
Dolbeault, Jean; Toscani, Giuseppe
10
2011
Non-Maxwellian kinetic equations modeling the dynamics of wealth distribution. Zbl 1444.35138
Furioli, Giulia; Pulvirenti, Ada; Terraneo, Elide; Toscani, Giuseppe
10
2020
Relaxation schemes for partial differential equations and applications to degenerate diffusion problems. Zbl 1028.35104
Naldi, Giovanni; Pareschi, Lorenzo; Toscani, Giuseppe
9
2002
Grad’s equations and hydrodynamics for weakly inelastic granular flows. Zbl 1187.76049
Bisi, M.; Spiga, G.; Toscani, G.
9
2004
International and domestic trading and wealth distribution. Zbl 1158.91430
Düring, B.; Toscani, G.
9
2008
Accurate numerical methods for the collisional motion of (heated) granular flows. Zbl 1288.76056
Filbet, Francis; Pareschi, Lorenzo; Toscani, Giuseppe
9
2005
New a priori estimates for the spatially homogeneous Boltzmann equation. Zbl 0760.76081
Toscani, G.
8
1992
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
Spectral methods for one-dimensional kinetic models of granular flows and numerical quasi-elastic limit. Zbl 1046.76034
Naldi, Giovanni; Pareschi, Lorenzo; Toscani, Giuseppe
8
2003
Exponential and algebraic relaxation in kinetic models for wealth distribution. Zbl 1181.91264
Düring, B.; Matthes, D.; Toscani, G.
8
2008
Wealth distribution in presence of debts: a Fokker-Planck description. Zbl 1388.91137
Torregrossa, Marco; Toscani, Giuseppe
8
2018
Rényi entropy and improved equilibration rates to self-similarity for nonlinear diffusion equations. Zbl 1307.35141
Carrillo, J. A.; Toscani, G.
8
2014
Hydrodynamic models of preference formation in multi-agent societies. Zbl 1427.35156
Pareschi, Lorenzo; Toscani, Giuseppe; Tosin, Andrea; Zanella, Mattia
8
2019
Kinetic approach to the asymptotic behaviour of the solution to diffusion equations. Zbl 0904.35029
Toscani, G.
7
1996
Convergence towards equilibrium for a gas of Maxwellian pseudomolecules. Zbl 0760.76082
Toscani, G.
7
1992
Control of tumor growth distributions through kinetic methods. Zbl 1460.92057
Preziosi, Luigi; Toscani, Giuseppe; Zanella, Mattia
5
2021
Kinetic models for epidemic dynamics with social heterogeneity. Zbl 1467.92189
Dimarco, G.; Perthame, B.; Toscani, G.; Zanella, M.
4
2021
Entropy-type inequalities for generalized gamma densities. Zbl 1473.35575
Toscani, Giuseppe
3
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
1
2021
Non-Maxwellian kinetic equations modeling the dynamics of wealth distribution. Zbl 1444.35138
Furioli, Giulia; Pulvirenti, Ada; Terraneo, Elide; Toscani, Giuseppe
10
2020
Social climbing and Amoroso distribution. Zbl 1451.35222
Dimarco, Giacomo; Toscani, Giuseppe
4
2020
Kinetic modelling of multiple interactions in socio-economic systems. Zbl 1451.35103
Toscani, Giuseppe; Tosin, Andrea; Zanella, Mattia
3
2020
Human behavior and lognormal distribution. A kinetic description. Zbl 1427.35280
Gualandi, Stefano; Toscani, Giuseppe
13
2019
Kinetic modeling of alcohol consumption. Zbl 1431.35209
Dimarco, Giacomo; Toscani, Giuseppe
11
2019
Hydrodynamic models of preference formation in multi-agent societies. Zbl 1427.35156
Pareschi, Lorenzo; Toscani, Giuseppe; Tosin, Andrea; Zanella, Mattia
8
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
5
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
13
2018
Wealth distribution in presence of debts: a Fokker-Planck description. Zbl 1388.91137
Torregrossa, Marco; Toscani, Giuseppe
8
2018
On a Fokker-Planck equation for wealth distribution. Zbl 1405.91180
Torregrossa, Marco; Toscani, Giuseppe
5
2018
A Rosenau-type approach to the approximation of the linear Fokker-Planck equation. Zbl 1405.65100
Toscani, Giuseppe
1
2018
Kinetic models for goods exchange in a multi-agent market. Zbl 07548931
Brugna, Carlo; Toscani, Giuseppe
1
2018
Fokker-Planck equations in the modeling of socio-economic phenomena. Zbl 1362.35305
Furioli, Giulia; Pulvirenti, Ada; Terraneo, Elide; Toscani, Giuseppe
50
2017
Score functions, generalized relative Fisher information and applications. Zbl 1374.60028
Toscani, Giuseppe
3
2017
Stability results for logarithmic Sobolev and Gagliardo-Nirenberg inequalities. Zbl 1355.46038
Dolbeault, Jean; Toscani, Giuseppe
15
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
6
2016
Condensation phenomena in nonlinear drift equations. Zbl 1355.35134
Carrillo, José A.; Di Francesco, Marco; Toscani, Giuseppe
5
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
5
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
3
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
96
2014
Wealth distribution and collective knowledge: a Boltzmann approach. Zbl 1353.91036
Pareschi, L.; Toscani, G.
24
2014
The concavity of Rényi entropy power. Zbl 1360.94169
Savaré, Giuseppe; Toscani, Giuseppe
18
2014
Rényi entropy and improved equilibration rates to self-similarity for nonlinear diffusion equations. Zbl 1307.35141
Carrillo, J. A.; Toscani, G.
8
2014
Explicit equilibria in bilinear kinetic models for socio-economic interactions. Zbl 1335.91049
Bassetti, Federico; Toscani, Giuseppe
6
2014
Rényi entropies and nonlinear diffusion equations. Zbl 1308.94044
Toscani, Giuseppe
5
2014
Heat equation and convolution inequalities. Zbl 1303.26023
Toscani, Giuseppe
4
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
19
2013
An information-theoretic proof of Nash’s inequality. Zbl 1301.62006
Toscani, Giuseppe
12
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
12
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
52
2011
Fast diffusion equations: matching large time asymptotics by relative entropy methods. Zbl 1252.35065
Dolbeault, Jean; Toscani, Giuseppe
10
2011
Convex Sobolev inequalities derived from entropy dissipation. Zbl 1229.35302
Matthes, Daniel; Jüngel, Ansgar; Toscani, Giuseppe
7
2011
On the minimization problem of sub-linear convex functionals. Zbl 1251.35168
Ben Abdallah, Naoufel; Gamba, Irene M.; Toscani, Giuseppe
6
2011
Kinetic models with randomly perturbed binary collisions. Zbl 1220.82094
Bassetti, Federico; Ladelli, Lucia; Toscani, Giuseppe
3
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.
218
2010
Particle, kinetic, and hydrodynamic models of swarming. Zbl 1211.91213
Carrillo, José A.; Fornasier, Massimo; Toscani, Giuseppe; Vecil, Francesco
144
2010
A kinetic flocking model with diffusion. Zbl 1213.35395
Duan, Renjun; Fornasier, Massimo; Toscani, Giuseppe
77
2010
Mathematical modeling of collective behavior in socio-economic and life sciences. Zbl 1200.91010
73
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.
1
2010
The Wasserstein gradient flow of the Fisher information and the quantum drift-diffusion equation. Zbl 1223.35264
Gianazza, Ugo; Savaré, Giuseppe; Toscani, Giuseppe
75
2009
Kinetic models of conservative economies with wealth redistribution. Zbl 1188.91115
Bisi, Marzia; Spiga, Giampiero; Toscani, Giuseppe
14
2009
A Boltzmann-type approach to the formation of wealth distribution curves. Zbl 1189.91097
Düring, Bertram; Matthes, Daniel; Toscani, Giuseppe
12
2009
A Boltzmann-like equation for choice formation. Zbl 1180.35402
Comincioli, Valeriano; Della Croce, Lucia; Toscani, Giuseppe
12
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
28
2008
International and domestic trading and wealth distribution. Zbl 1158.91430
Düring, B.; Toscani, G.
9
2008
Exponential and algebraic relaxation in kinetic models for wealth distribution. Zbl 1181.91264
Düring, B.; Matthes, D.; Toscani, G.
8
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
4
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.
39
2007
First-order continuous models of opinion formation. Zbl 1128.91043
Aletti, Giacomo; Naldi, Giovanni; Toscani, Giuseppe
21
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
11
2007
Kinetic models of opinion formation. Zbl 1195.91128
Toscani, Giuseppe
120
2006
Lagrangian numerical approximations to one-dimensional convolution-diffusion equations. Zbl 1122.76064
Gosse, Laurent; Toscani, Giuseppe
33
2006
Identification of asymptotic decay to self-similarity for one-dimensional filtration equations. Zbl 1145.76048
Gosse, Laurent; Toscani, Giuseppe
27
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.
18
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
6
2006
On a kinetic model for a simple market economy. Zbl 1133.91474
Cordier, Stephane; Pareschi, Lorenzo; Toscani, Giuseppe
65
2005
Contractive metrics for a Boltzmann equation for granular gases: Diffusive equilibria. Zbl 1085.82008
Bisi, M.; Carrillo, J. A.; Toscani, G.
28
2005
Wasserstein metric and large-time asymptotics of nonlinear diffusion equations. Zbl 1089.76055
Carrillo, J. A.; Toscani, G.
26
2005
Long-time behavior for a nonlinear fourth-order parabolic equation. Zbl 1077.35028
Cáceres, María J.; Carrillo, J. A.; Toscani, G.
22
2005
Accurate numerical methods for the collisional motion of (heated) granular flows. Zbl 1288.76056
Filbet, Francis; Pareschi, Lorenzo; Toscani, Giuseppe
9
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
59
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.
31
2004
Asymptotic properties of the inelastic Kac model. Zbl 1072.82030
Pulvirenti, Ada; Toscani, Giuseppe
23
2004
Asymptotic-preserving and well-balanced schemes for radiative transfer and the Rosseland approximation. Zbl 1120.65343
Gosse, Laurent; Toscani, Giuseppe
21
2004
Kinetic and hydrodynamic models of nearly elastic granular flows. Zbl 1136.82366
Toscani, Giuseppe
17
2004
Finite speed of propagation in porous media by mass transportation methods. Zbl 1049.35110
Carrillo, José Antonio; Gualdani, Maria Pia; Toscani, Giuseppe
14
2004
The dissipative linear Boltzmann equation for hard spheres. Zbl 1103.82023
Lods, Bertrand; Toscani, Giuseppe
13
2004
The dissipative linear Boltzmann equation. Zbl 1083.82027
Spiga, G.; Toscani, G.
11
2004
Grad’s equations and hydrodynamics for weakly inelastic granular flows. Zbl 1187.76049
Bisi, M.; Spiga, G.; Toscani, G.
9
2004
Modelling and numerical methods for granular gases. Zbl 1106.82032
Pareschi, Lorenzo; Toscani, Giuseppe
3
2004
...and 80 more Documents
all top 5

Cited by 1,807 Authors

110 Carrillo de la Plata, José Antonio
92 Toscani, Giuseppe
74 Ha, Seung-Yeal
61 Pareschi, Lorenzo
45 Dolbeault, Jean
37 Bellomo, Nicola
30 Choi, Young-Pil
25 Zanella, Mattia
24 Jüngel, Ansgar
21 Degond, Pierre
20 Dimarco, Giacomo
19 Matthes, Daniel
18 Jin, Shi
17 Desvillettes, Laurent
17 Martínez Gamba, Irene
16 Carlen, Eric Anders
16 Gabetta, Ester
16 Herty, Michael Matthias
16 Markowich, Peter Alexander
16 Mischler, Stéphane
16 Mouhot, Clément
16 Vauchelet, Nicolas
15 Albi, Giacomo
15 Di Francesco, Marco
15 Gosse, Laurent
15 Kim, Jeongho
15 Lachowicz, Mirosław
15 Tosin, Andrea
15 Vazquez, Juan Luis
15 Zhang, Xiongtao
14 Burger, Martin
14 Goudon, Thierry
14 Villani, Cédric
13 Buet, Christophe
13 Fellner, Klemens
13 Haskovec, Jan
13 Klar, Axel
13 Loss, Michael
13 McCann, Robert J.
13 Yang, Tong
12 Cañizo, José Alfredo
12 Esteban, Maria J.
12 Filbet, Francis
12 Hu, Jingwei
11 Berthon, Christophe
11 Bisi, Marzia
11 Fetecau, Razvan C.
11 Soler, Juan S.
11 Tse, Oliver
11 Wolfram, Marie-Therese
11 Yun, Seok-Bae
10 Arnold, Anton
10 Chen, Li
10 Düring, Bertram
10 Fagioli, Simone
10 Fornasier, Massimo
10 Knopoff, Damian A.
10 Perthame, Benoît
10 Peszek, Jan
10 Saintier, Nicolas
10 Zinsl, Jonathan
9 Blanchet, Adrien
9 Brezzi, Franco
9 Calvez, Vincent
9 Dong, Jiu-Gang
9 Fournier, Nicolas G.
9 Huang, Yanghong
9 Kim, Doheon
9 Lemou, Mohammed
9 Liu, Jianguo
9 Lods, Bertrand
9 Park, Jinyeong
9 Pinasco, Juan Pablo
9 Pulvirenti, Ada
9 Regazzini, Eugenio
9 Rey, Thomas
9 Salvarani, Francesco
9 Samaey, Giovanni
9 Savaré, Giuseppe
9 Turpault, Rodolphe
9 Winkler, Michael
9 Zhang, Xianwen
8 Bolley, François
8 Carvalho, Maria Conceição
8 Chen, Xiuqing
8 Després, Bruno
8 Duan, Renjun
8 Fischer, Julian
8 Furioli, Giulia
8 Ko, Dongnam
8 Tan, Changhui
8 Terraneo, Elide
8 Wennberg, Bernt
7 Amadori, Debora
7 Bae, Hyeong-Ohk
7 Bertozzi, Andrea Louise
7 Bobylev, Alexandre Vasiljévitch
7 Bonforte, Matteo
7 Chainais-Hillairet, Claire
7 Colombi, Annachiara
...and 1,707 more Authors
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Cited in 252 Serials

131 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
98 Journal of Statistical Physics
93 Journal of Computational Physics
70 Journal of Differential Equations
65 Kinetic and Related Models
52 Archive for Rational Mechanics and Analysis
41 Journal of Mathematical Analysis and Applications
41 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
41 SIAM Journal on Mathematical Analysis
37 Transport Theory and Statistical Physics
32 Communications in Mathematical Physics
32 Journal of Mathematical Physics
32 Discrete and Continuous Dynamical Systems
30 Journal of Functional Analysis
30 Journal of Scientific Computing
30 Communications in Partial Differential Equations
28 Comptes Rendus. Mathématique. Académie des Sciences, Paris
27 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
26 Physica A
25 Journal de Mathématiques Pures et Appliquées. Neuvième Série
22 Applied Mathematics Letters
20 Calculus of Variations and Partial Differential Equations
19 SIAM Journal on Numerical Analysis
19 Multiscale Modeling & Simulation
18 Numerische Mathematik
18 SIAM Journal on Scientific Computing
18 Networks and Heterogeneous Media
17 Physica D
17 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
16 Nonlinear Analysis. Real World Applications
14 Computers & Mathematics with Applications
14 Quarterly of Applied Mathematics
13 Discrete and Continuous Dynamical Systems. Series B
12 Mathematical Methods in the Applied Sciences
12 SIAM Journal on Applied Mathematics
11 Applicable Analysis
11 Mathematics of Computation
11 Mathematical and Computer Modelling
10 Applied Mathematics and Computation
9 Nonlinearity
9 The Annals of Applied Probability
9 Communications on Pure and Applied Analysis
9 SIAM Journal on Applied Dynamical Systems
8 Journal of Mathematical Biology
8 ZAMP. Zeitschrift für angewandte Mathematik und Physik
8 SIAM Journal on Control and Optimization
8 Stochastic Processes and their Applications
8 Journal of Nonlinear Science
8 Mathematical Biosciences and Engineering
7 Bulletin of Mathematical Biology
7 Proceedings of the American Mathematical Society
7 Transactions of the American Mathematical Society
7 Probability Theory and Related Fields
7 Continuum Mechanics and Thermodynamics
7 Journal of Mathematical Sciences (New York)
7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
7 Communications in Nonlinear Science and Numerical Simulation
7 Communications in Computational Physics
6 Chaos, Solitons and Fractals
6 The Annals of Probability
6 Inventiones Mathematicae
6 Journal of Computational and Applied Mathematics
6 Chinese Annals of Mathematics. Series B
6 Applied Numerical Mathematics
6 Numerical Methods for Partial Differential Equations
6 European Journal of Applied Mathematics
6 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
6 Vietnam Journal of Mathematics
6 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
6 Journal of Evolution Equations
6 Analysis and Applications (Singapore)
6 Communications in Applied and Industrial Mathematics
5 Computers and Fluids
5 Communications on Pure and Applied Mathematics
5 Annali di Matematica Pura ed Applicata. Serie Quarta
5 Applied Mathematics and Optimization
5 Mathematics and Computers in Simulation
5 Meccanica
5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
5 NoDEA. Nonlinear Differential Equations and Applications
5 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
4 Journal of Fluid Mechanics
4 Journal of the Franklin Institute
4 Advances in Mathematics
4 Manuscripta Mathematica
4 Ricerche di Matematica
4 Acta Applicandae Mathematicae
4 Communications in Contemporary Mathematics
4 Annales Henri Poincaré
4 Entropy
4 The European Physical Journal B. Condensed Matter and Complex Systems
4 Journal of Theoretical Biology
4 SIAM/ASA Journal on Uncertainty Quantification
4 Research in the Mathematical Sciences
4 Annals of PDE
4 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
4 SMAI Journal of Computational Mathematics
3 Computer Methods in Applied Mechanics and Engineering
3 Automatica
3 Mathematische Annalen
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Cited in 44 Fields

1,131 Partial differential equations (35-XX)
649 Statistical mechanics, structure of matter (82-XX)
502 Fluid mechanics (76-XX)
366 Numerical analysis (65-XX)
298 Biology and other natural sciences (92-XX)
189 Probability theory and stochastic processes (60-XX)
146 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
107 Calculus of variations and optimal control; optimization (49-XX)
86 Integral equations (45-XX)
85 Ordinary differential equations (34-XX)
71 Systems theory; control (93-XX)
65 Dynamical systems and ergodic theory (37-XX)
57 Operator theory (47-XX)
43 Real functions (26-XX)
41 Operations research, mathematical programming (90-XX)
38 Global analysis, analysis on manifolds (58-XX)
38 Mechanics of particles and systems (70-XX)
37 Information and communication theory, circuits (94-XX)
36 Functional analysis (46-XX)
27 Quantum theory (81-XX)
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24 Computer science (68-XX)
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16 Difference and functional equations (39-XX)
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2 Special functions (33-XX)
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1 Mathematical logic and foundations (03-XX)
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