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Amour, Laurent

Co-Author Distance
Author ID: amour.laurent Recent zbMATH articles by "Amour, Laurent"
Published as: Amour, Laurent; Amour, L.
Documents Indexed: 61 Publications since 1993, including 5 Additional arXiv Preprints
Co-Authors: 13 Co-Authors with 52 Joint Publications
206 Co-Co-Authors
all top 5

Co-Authors

9 single-authored
29 Nourrigat, Jean Francois
10 Faupin, Jérémy
9 Guillot, Jean-Claude
9 Jager, Lisette
6 Grébert, Benoît
6 Raoux, Thierry
3 Khodja, Mohamed R.
3 Lascar, Richard
3 Lévy-Bruhl, Pierre
2 Cancelier, Claudy
1 Ben-Artzi, Matania
1 Brummelhuis, Raymond
1 Lerner, Nicolas
all top 5

Serials

4 Inverse Problems
4 Journal of Mathematical Physics
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Reviews in Mathematical Physics
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Annales Henri Poincaré
2 Israel Journal of Mathematics
2 Proceedings of the American Mathematical Society
2 Asymptotic Analysis
2 SIAM Journal on Mathematical Analysis
2 Comptes Rendus de l’Académie des Sciences. Série I
2 Cubo
1 Communications in Mathematical Physics
1 Journal d’Analyse Mathématique
1 Journal of Mathematical Analysis and Applications
1 Mathematical Methods in the Applied Sciences
1 Reports on Mathematical Physics
1 Colloquium Mathematicum
1 Journal of Functional Analysis
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 IMRN. International Mathematics Research Notices
1 Geometric and Functional Analysis. GAFA
1 Annals of Physics
1 Mathematical Research Letters
1 Mathematical Physics, Analysis and Geometry
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 AMRX. Applied Mathematics Research eXpress
1 Journal of Physics A: Mathematical and Theoretical
1 Inverse Problems and Imaging
1 Analysis & PDE
1 Journal of Pseudo-Differential Operators and Applications
1 Nonlinear Analysis. Theory, Methods & Applications
all top 5

Fields

30 Quantum theory (81-XX)
21 Partial differential equations (35-XX)
18 Operator theory (47-XX)
14 Ordinary differential equations (34-XX)
5 Measure and integration (28-XX)
4 Statistical mechanics, structure of matter (82-XX)
3 Optics, electromagnetic theory (78-XX)
2 Functional analysis (46-XX)
2 Probability theory and stochastic processes (60-XX)
1 Real functions (26-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Mechanics of particles and systems (70-XX)
1 Information and communication theory, circuits (94-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

44 Publications have been cited 258 times in 168 Documents Cited by ▼ Year ▼
Global existence and decay for viscous Hamilton-Jacobi equations. Zbl 1023.35049
Amour, Laurent; Ben-Artzi, Matania
43
1998
The semiclassical limit of the time dependent Hartree-Fock equation: the Weyl symbol of the solution. Zbl 1291.35456
Amour, Laurent; Khodja, Mohamed; Nourrigat, Jean
21
2013
The classical limit of the Heisenberg and time-dependent Hartree-Fock equations: the Wick symbol of the solution. Zbl 1284.35354
Amour, Laurent; Khodja, Mohamed; Nourrigat, Jean
15
2013
On bounded pseudodifferential operators in Wiener spaces. Zbl 1328.47052
Amour, Laurent; Jager, Lisette; Nourrigat, Jean
14
2015
The dressed mobile atoms and ions. Zbl 1119.81099
Amour, Laurent; Grébert, Benoît; Guillot, Jean-Claude
12
2006
Inverse spectral results for Schrödinger operators on the unit interval with partial information given on the potentials. Zbl 1202.34031
Amour, L.; Faupin, J.; Raoux, T.
11
2009
Weyl calculus in QED I. The unitary group. Zbl 1355.81158
Amour, L.; Lascar, R.; Nourrigat, J.
11
2017
Inverse spectral results for Schrödinger operators on the unit interval with potentials in \(L^{p}\) spaces. Zbl 1136.34008
Amour, L.; Raoux, T.
9
2007
Dynamics and Lieb-Robinson estimates for lattices of interacting anharmonic oscillators. Zbl 1187.82015
Amour, L.; Lévy-Bruhl, P.; Nourrigat, J.
9
2010
Infinite dimensional semiclassical analysis and applications to a model in nuclear magnetic resonance. Zbl 1416.81222
Amour, L.; Jager, L.; Nourrigat, J.
8
2019
Beals characterization of pseudodifferential operators in Wiener spaces. Zbl 1456.35248
Amour, Laurent; Lascar, Richard; Nourrigat, Jean
7
2017
A mathematical model for the Fermi weak interactions. Zbl 1143.81023
Amour, Laurent; Grébert, Benoît; Guillot, Jean-Claude
7
2007
Resonances of the Dirac Hamiltonian in the non relativistic limit. Zbl 0996.81022
Amour, L.; Brummelhuis, R.; Nourrigat, J.
7
2001
Isospectral flows of third order operators. Zbl 0988.34062
Amour, L.
6
2001
Inverse spectral theory for the AKNS system with separated boundary conditions. Zbl 0783.34061
Amour, Laurent
6
1993
Determination of a third-order operator from two of its spectra. Zbl 0936.34007
Amour, L.
6
1999
The dressed nonrelativistic electron in a magnetic field. Zbl 1099.81028
Amour, Laurent; Grébert, Benoît; Guillot, Jean-Claude
5
2006
Weyl calculus in Wiener spaces and in QED. Zbl 1421.81177
Amour, L.; Lascar, R.; Nourrigat, J.
4
2019
Isospectral sets for AKNS systems on the unit interval with generalized periodic boundary conditions. Zbl 0879.34075
Amour, L.; Guillot, J.-C.
4
1996
Extensions on isospectral sets for AKNS systems. Zbl 0848.34071
Amour, L.
4
1996
The Cauchy problem for a coupled semilinear parabolic system. Zbl 1015.35037
Amour, L.; Raoux, T.
4
2003
On bounded pseudodifferential operators in a high-dimensional setting. Zbl 1328.35342
Amour, L.; Jager, L.; Nourrigat, J.
4
2015
Inverse spectral results for the Schrödinger operator in Sobolev spaces. Zbl 1214.34013
Amour, Laurent; Faupin, Jérémy
3
2010
\(L^1\) decay properties for a semilinear parabolic system. Zbl 1087.35509
Amour, L.; Raoux, T.
3
2001
Ground state photon number at large distance. Zbl 1441.81135
Amour, Laurent; Jager, Lisette; Nourrigat, Jean
3
2020
Existence and \(L^1\) norm decay of the solutions of a semilinear parabolic system. (Existence et décroissance en norme \(L^1\) des solutions d’un système parabolique semi-linéaire.) Zbl 0939.35085
Amour, Laurent; Raoux, Thierry
3
1999
Weyl composition of symbols in large dimension. Zbl 1377.47016
Amour, L.; Nourrigat, J.
3
2016
Lower bounds for pseudodifferential operators with a radial symbol. Zbl 1328.35343
Amour, Laurent; Jager, Lisette; Nourrigat, Jean
3
2015
Approximative composition of Wick symbols and applications to the time dependent Hartree-Fock equation. Zbl 1287.47058
Amour, L.; Khodja, M.; Nourrigat, J.
2
2013
Hyperfine splitting in non-relativistic QED: uniqueness of the dressed hydrogen atom ground state. Zbl 1269.81223
Amour, Laurent; Faupin, Jérémy
2
2013
Inverse spectral results in Sobolev spaces for the AKNS operator with partial informations on the potentials. Zbl 1307.34028
Amour, Laurent; Faupin, Jérémy
2
2013
Pseudodifferential calculus in large dimensions. (Calcul pseudodifferentiel en grande dimension.) Zbl 0981.35108
Amour, L.; Kerdelhue, Ph.; Nourrigat, J.
2
2001
The dressed nonrelativistic electron in a magnetic field. (L’électron habillé non relativiste dans un champ magnétique.) Zbl 1068.81065
Amour, Laurent; Grébert, Benoît; Guillot, Jean-Claude
2
2005
On the infrared problem for the dressed non-relativistic electron in a magnetic field. Zbl 1184.81086
Amour, Laurent; Faupin, Jérémy; Grébert, Benoît; Guillot, Jean-Claude
2
2009
The Weyl symbol of Schrödinger semigroups. Zbl 1316.81021
Amour, Laurent; Jager, Lisette; Nourrigat, Jean
2
2015
Hyperfine splitting of the dressed hydrogen atom ground state in non-relativistic QED. Zbl 1219.81249
Amour, L.; Faupin, J.
1
2011
Explicit isospectral flows for the AKNS operator on the unit interval. Zbl 1179.34097
Amour, L.
1
2009
Decay of quantum correlations on a lattice by heat kernel methods. Zbl 1165.82007
Amour, Laurent; Cancelier, Claudy; Lévy-Bruhl, Pierre; Nourrigat, Jean
1
2007
Integral formulas for the Weyl and anti-Wick symbols. Zbl 1423.35479
Amour, Laurent; Nourrigat, Jean
1
2019
Almost periodicity for the nonlinear cubic Schrödinger equation. Zbl 0845.35115
Amour, Laurent
1
1995
Isospectral sets for AKNS systems on the unit interval with generalized periodic boundary conditions. (Variétés isospectrales pour les systèmes AKNS sur l’intervalle unité avec des conditions aux limites périodiques généralisées.) Zbl 0835.34092
Amour, Laurent; Guillot, Jean-Claude
1
1995
States of a one dimensional quantum crystal. Zbl 1052.82004
Amour, Laurent; Cancelier, Claudy; Levy-Bruhl, Pierre; Nourrigat, Jean
1
2003
Compositions of states and observables in Fock spaces. Zbl 1450.35308
Amour, L.; Jager, L.; Nourrigat, J.
1
2020
Lindblad approximation and spin relaxation in quantum electrodynamics. Zbl 1519.81495
Amour, L.; Nourrigat, J.
1
2020
Ground state photon number at large distance. Zbl 1441.81135
Amour, Laurent; Jager, Lisette; Nourrigat, Jean
3
2020
Compositions of states and observables in Fock spaces. Zbl 1450.35308
Amour, L.; Jager, L.; Nourrigat, J.
1
2020
Lindblad approximation and spin relaxation in quantum electrodynamics. Zbl 1519.81495
Amour, L.; Nourrigat, J.
1
2020
Infinite dimensional semiclassical analysis and applications to a model in nuclear magnetic resonance. Zbl 1416.81222
Amour, L.; Jager, L.; Nourrigat, J.
8
2019
Weyl calculus in Wiener spaces and in QED. Zbl 1421.81177
Amour, L.; Lascar, R.; Nourrigat, J.
4
2019
Integral formulas for the Weyl and anti-Wick symbols. Zbl 1423.35479
Amour, Laurent; Nourrigat, Jean
1
2019
Weyl calculus in QED I. The unitary group. Zbl 1355.81158
Amour, L.; Lascar, R.; Nourrigat, J.
11
2017
Beals characterization of pseudodifferential operators in Wiener spaces. Zbl 1456.35248
Amour, Laurent; Lascar, Richard; Nourrigat, Jean
7
2017
Weyl composition of symbols in large dimension. Zbl 1377.47016
Amour, L.; Nourrigat, J.
3
2016
On bounded pseudodifferential operators in Wiener spaces. Zbl 1328.47052
Amour, Laurent; Jager, Lisette; Nourrigat, Jean
14
2015
On bounded pseudodifferential operators in a high-dimensional setting. Zbl 1328.35342
Amour, L.; Jager, L.; Nourrigat, J.
4
2015
Lower bounds for pseudodifferential operators with a radial symbol. Zbl 1328.35343
Amour, Laurent; Jager, Lisette; Nourrigat, Jean
3
2015
The Weyl symbol of Schrödinger semigroups. Zbl 1316.81021
Amour, Laurent; Jager, Lisette; Nourrigat, Jean
2
2015
The semiclassical limit of the time dependent Hartree-Fock equation: the Weyl symbol of the solution. Zbl 1291.35456
Amour, Laurent; Khodja, Mohamed; Nourrigat, Jean
21
2013
The classical limit of the Heisenberg and time-dependent Hartree-Fock equations: the Wick symbol of the solution. Zbl 1284.35354
Amour, Laurent; Khodja, Mohamed; Nourrigat, Jean
15
2013
Approximative composition of Wick symbols and applications to the time dependent Hartree-Fock equation. Zbl 1287.47058
Amour, L.; Khodja, M.; Nourrigat, J.
2
2013
Hyperfine splitting in non-relativistic QED: uniqueness of the dressed hydrogen atom ground state. Zbl 1269.81223
Amour, Laurent; Faupin, Jérémy
2
2013
Inverse spectral results in Sobolev spaces for the AKNS operator with partial informations on the potentials. Zbl 1307.34028
Amour, Laurent; Faupin, Jérémy
2
2013
Hyperfine splitting of the dressed hydrogen atom ground state in non-relativistic QED. Zbl 1219.81249
Amour, L.; Faupin, J.
1
2011
Dynamics and Lieb-Robinson estimates for lattices of interacting anharmonic oscillators. Zbl 1187.82015
Amour, L.; Lévy-Bruhl, P.; Nourrigat, J.
9
2010
Inverse spectral results for the Schrödinger operator in Sobolev spaces. Zbl 1214.34013
Amour, Laurent; Faupin, Jérémy
3
2010
Inverse spectral results for Schrödinger operators on the unit interval with partial information given on the potentials. Zbl 1202.34031
Amour, L.; Faupin, J.; Raoux, T.
11
2009
On the infrared problem for the dressed non-relativistic electron in a magnetic field. Zbl 1184.81086
Amour, Laurent; Faupin, Jérémy; Grébert, Benoît; Guillot, Jean-Claude
2
2009
Explicit isospectral flows for the AKNS operator on the unit interval. Zbl 1179.34097
Amour, L.
1
2009
Inverse spectral results for Schrödinger operators on the unit interval with potentials in \(L^{p}\) spaces. Zbl 1136.34008
Amour, L.; Raoux, T.
9
2007
A mathematical model for the Fermi weak interactions. Zbl 1143.81023
Amour, Laurent; Grébert, Benoît; Guillot, Jean-Claude
7
2007
Decay of quantum correlations on a lattice by heat kernel methods. Zbl 1165.82007
Amour, Laurent; Cancelier, Claudy; Lévy-Bruhl, Pierre; Nourrigat, Jean
1
2007
The dressed mobile atoms and ions. Zbl 1119.81099
Amour, Laurent; Grébert, Benoît; Guillot, Jean-Claude
12
2006
The dressed nonrelativistic electron in a magnetic field. Zbl 1099.81028
Amour, Laurent; Grébert, Benoît; Guillot, Jean-Claude
5
2006
The dressed nonrelativistic electron in a magnetic field. (L’électron habillé non relativiste dans un champ magnétique.) Zbl 1068.81065
Amour, Laurent; Grébert, Benoît; Guillot, Jean-Claude
2
2005
The Cauchy problem for a coupled semilinear parabolic system. Zbl 1015.35037
Amour, L.; Raoux, T.
4
2003
States of a one dimensional quantum crystal. Zbl 1052.82004
Amour, Laurent; Cancelier, Claudy; Levy-Bruhl, Pierre; Nourrigat, Jean
1
2003
Resonances of the Dirac Hamiltonian in the non relativistic limit. Zbl 0996.81022
Amour, L.; Brummelhuis, R.; Nourrigat, J.
7
2001
Isospectral flows of third order operators. Zbl 0988.34062
Amour, L.
6
2001
\(L^1\) decay properties for a semilinear parabolic system. Zbl 1087.35509
Amour, L.; Raoux, T.
3
2001
Pseudodifferential calculus in large dimensions. (Calcul pseudodifferentiel en grande dimension.) Zbl 0981.35108
Amour, L.; Kerdelhue, Ph.; Nourrigat, J.
2
2001
Determination of a third-order operator from two of its spectra. Zbl 0936.34007
Amour, L.
6
1999
Existence and \(L^1\) norm decay of the solutions of a semilinear parabolic system. (Existence et décroissance en norme \(L^1\) des solutions d’un système parabolique semi-linéaire.) Zbl 0939.35085
Amour, Laurent; Raoux, Thierry
3
1999
Global existence and decay for viscous Hamilton-Jacobi equations. Zbl 1023.35049
Amour, Laurent; Ben-Artzi, Matania
43
1998
Isospectral sets for AKNS systems on the unit interval with generalized periodic boundary conditions. Zbl 0879.34075
Amour, L.; Guillot, J.-C.
4
1996
Extensions on isospectral sets for AKNS systems. Zbl 0848.34071
Amour, L.
4
1996
Almost periodicity for the nonlinear cubic Schrödinger equation. Zbl 0845.35115
Amour, Laurent
1
1995
Isospectral sets for AKNS systems on the unit interval with generalized periodic boundary conditions. (Variétés isospectrales pour les systèmes AKNS sur l’intervalle unité avec des conditions aux limites périodiques généralisées.) Zbl 0835.34092
Amour, Laurent; Guillot, Jean-Claude
1
1995
Inverse spectral theory for the AKNS system with separated boundary conditions. Zbl 0783.34061
Amour, Laurent
6
1993
all cited Publications top 5 cited Publications
all top 5

Cited by 180 Authors

27 Amour, Laurent
16 Nourrigat, Jean Francois
13 Faupin, Jérémy
9 Guillot, Jean-Claude
8 Saffirio, Chiara
8 Sims, Robert L.
7 Jager, Lisette
6 Falconi, Marco
6 Wei, Guangsheng
5 Barbaroux, Jean-Marie
5 Fröhlich, Jürg Martin
5 Lafleche, Laurent
5 Shang, Haifeng
5 Souplet, Philippe
5 Yan, Jun
4 Correggi, Michele
4 Ito, Hiroshi T.
4 Liu, Yixuan
4 Nachtergaele, Bruno
4 Schlein, Benjamin
4 Sigal, Israel Michael
4 Wei, Zhaoying
3 Benachour, Said
3 Chen, Li
3 Grébert, Benoît
3 Hasler, David G.
3 Karch, Grzegorz
3 Lascar, Richard
3 Laurençot, Philippe
3 Lee, Jinyeop
3 Liew, Matthew
3 Porta, Marcello
3 Raoux, Thierry
3 Shi, Guoliang
3 Shieh, Chung-Tsun
3 Stolz, Gunter
3 Yamada, Osanobu
2 Abdul-Rahman, Houssam M.
2 Attouchi, Amal
2 Barles, Guy
2 Ben-Artzi, Matania
2 Benedikter, Niels
2 Chong, Jacky Jia Wei
2 Deng, Lihua
2 Gilding, Brian H.
2 Gladkov, Aleksandr L’vovich
2 Griesemer, Marcel
2 Guedda, Mohammed
2 Hatinoğlu, Burak
2 Hiroshima, Fumio
2 Hong, Younghun
2 Ishige, Kazuhiro
2 Kawakami, Tatsuki
2 Kersner, Robert
2 Korotyaev, Evgeny L.
2 Lange, Markus
2 Leopold, Nikolai
2 Lerner, Nicolas
2 Olivieri, Marco
2 Petrat, Sören
2 Pickl, Peter
2 Ping, Wang Yu
2 Rademacher, Simone
2 Schubnel, Baptiste
2 Skrypnik, Igor Igorievich
2 Wang, Yuping
1 Abdellaoui, Boumediene
1 Al-Elaiw, Abeer
1 Alvarez, Benjamin Louis
1 Ammari, Zied
1 Aschbacher, Walter H.
1 Attar, Ahmed
1 Bachmann, Sven
1 Badanin, A. V.
1 Băleanu, Dumitru I.
1 Ballesteros, Miguel
1 Beltiţă, Daniel
1 Beltiţă, Ingrid
1 Bentifour, Rachid
1 Bez, Neal
1 Bidaut-Veron, Marie-Françoise
1 Biler, Piotr
1 Bony, Jean-François
1 Borovyk, Vita
1 Bourgault, Yves
1 Breteaux, Sébastien
1 Cancelier, Claudy
1 Chen, Bang-Yen
1 Chen, Mingzhen
1 Chen, Thomas
1 Cheng, Junxiang
1 Cheridito, Patrick
1 Choi, Woocheol
1 Clark, Steve
1 Coudière, Yves
1 Da Lio, Francesca
1 Dabuleanu, Simona
1 Dao, Nguyen Anh
1 Dietler, Elia
1 Dimonte, Daniele
...and 80 more Authors
all top 5

Cited in 61 Serials

15 Journal of Mathematical Physics
9 Communications in Mathematical Physics
9 Journal of Statistical Physics
8 Journal de Mathématiques Pures et Appliquées. Neuvième Série
7 Journal of Mathematical Analysis and Applications
7 Journal of Functional Analysis
7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
6 Reviews in Mathematical Physics
6 Journal of Differential Equations
6 Annales Henri Poincaré
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Communications in Partial Differential Equations
3 Israel Journal of Mathematics
3 Journal d’Analyse Mathématique
3 Results in Mathematics
3 Transactions of the American Mathematical Society
3 SIAM Journal on Mathematical Analysis
3 Journal of Pseudo-Differential Operators and Applications
2 Archive for Rational Mechanics and Analysis
2 Mathematical Methods in the Applied Sciences
2 Advances in Mathematics
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Mathematische Nachrichten
2 Proceedings of the American Mathematical Society
2 Proceedings of the Japan Academy. Series A
2 Mathematical Physics, Analysis and Geometry
2 Journal of the European Mathematical Society (JEMS)
2 Journal of Physics A: Mathematical and Theoretical
2 Analysis & PDE
2 Science China. Mathematics
2 Journal of Spectral Theory
1 Letters in Mathematical Physics
1 Nonlinearity
1 Reports on Mathematical Physics
1 Hokkaido Mathematical Journal
1 Journal of the Mathematical Society of Japan
1 Michigan Mathematical Journal
1 Chinese Annals of Mathematics. Series B
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Applied Mathematics Letters
1 Sugaku Expositions
1 Geometric and Functional Analysis. GAFA
1 Annals of Physics
1 Annales Mathématiques Blaise Pascal
1 Discrete and Continuous Dynamical Systems
1 Documenta Mathematica
1 Nonlinear Dynamics
1 Nonlinear Analysis. Real World Applications
1 Mediterranean Journal of Mathematics
1 Boundary Value Problems
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Inverse Problems in Science and Engineering
1 Complex Variables and Elliptic Equations
1 Discrete and Continuous Dynamical Systems. Series S
1 Advances in Mathematical Physics
1 International Journal of Differential Equations
1 Analysis and Mathematical Physics
1 Arabian Journal of Mathematics
1 Journal of Function Spaces
1 Journal de l’École Polytechnique – Mathématiques
1 Tunisian Journal of Mathematics
all top 5

Cited in 24 Fields

86 Partial differential equations (35-XX)
76 Quantum theory (81-XX)
29 Operator theory (47-XX)
27 Statistical mechanics, structure of matter (82-XX)
26 Ordinary differential equations (34-XX)
8 Functional analysis (46-XX)
6 Probability theory and stochastic processes (60-XX)
5 Measure and integration (28-XX)
4 Dynamical systems and ergodic theory (37-XX)
4 Optics, electromagnetic theory (78-XX)
3 Functions of a complex variable (30-XX)
3 Mechanics of particles and systems (70-XX)
3 Relativity and gravitational theory (83-XX)
2 Real functions (26-XX)
2 Integral equations (45-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Differential geometry (53-XX)
2 Global analysis, analysis on manifolds (58-XX)
1 Topological groups, Lie groups (22-XX)
1 Special functions (33-XX)
1 Mechanics of deformable solids (74-XX)
1 Astronomy and astrophysics (85-XX)
1 Biology and other natural sciences (92-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year