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Meinrenken, Eckhard

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Author ID: meinrenken.eckhard Recent zbMATH articles by "Meinrenken, Eckhard"
Published as: Meinrenken, Eckhard; Meinrenken, E.

Publications by Year

Citations contained in zbMATH Open

52 Publications have been cited 913 times in 634 Documents Cited by Year
Toeplitz quantization of Kähler manifolds and \(gl(N)\), \(N\to \infty\) limits. Zbl 0813.58026
Bordemann, Martin; Meinrenken, Eckhard; Schlichenmaier, Martin
130
1994
Lie group valued moment maps. Zbl 0948.53045
Alekseev, Anton; Malkin, Anton; Meinrenken, Eckhard
109
1998
Singular reduction and quantization. Zbl 0928.37013
Meinrenken, Eckhard; Sjamaar, Reyer
56
1999
Quasi-Poisson manifolds. Zbl 1006.53072
Alekseev, A.; Kosmann-Schwarzbach, Y.; Meinrenken, E.
55
2002
Symplectic surgery and the Spin\(^c\)-Dirac operator. Zbl 0929.53045
Meinrenken, Eckhard
50
1998
Non-Abelian convexity by symplectic cuts. Zbl 0913.58023
Lerman, Eugene; Meinrenken, Eckhard; Tolman, Sue; Woodward, Chris
41
1998
The non-commutative Weil algebra. Zbl 0945.57017
Alekseev, A.; Meinrenken, E.
41
2000
The basic gerbe over a compact simple Lie group. Zbl 1061.53034
Meinrenken, Eckhard
34
2003
Clifford algebras and Lie theory. Zbl 1267.15021
Meinrenken, Eckhard
34
2013
On Riemann-Roch formulas for multiplicities. Zbl 0851.53020
Meinrenken, Eckhard
31
1996
Hamiltonian loop group actions and Verlinde factorization. Zbl 0949.37031
Meinrenken, E.; Woodward, C.
27
1998
Lie theory and the Chern-Weil homomorphism. Zbl 1105.17015
Alekseev, Anton; Meinrenken, Eckhard
20
2005
Semiclassical principal symbols and Gutzwiller’s trace formula. Zbl 0794.58046
Meinrenken, Eckhard
20
1992
Courant algebroids and Poisson geometry. Zbl 1169.53061
Li-Bland, David; Meinrenken, Eckhard
20
2009
Twisted K-homology and group-valued moment maps. Zbl 1260.53143
Meinrenken, E.
15
2012
Ginzburg-Weinstein via Gelfand-Zeitlin. Zbl 1119.53053
Alekseev, A.; Meinrenken, E.
13
2007
Pure spinors on Lie groups. Zbl 1251.53052
Alekseev, A.; Bursztyn, H.; Meinrenken, E.
12
2009
Witten’s formulas for intersection pairings on moduli spaces of flat \(G\)-bundles. Zbl 1085.53076
Meinrenken, E.
12
2005
The Verlinde formulas as fixed point formulas. Zbl 1033.53074
Alekseev, A.; Meinrenken, E.; Woodward, C.
12
2001
Duistermaat-Heckman measures and moduli spaces of flat bundles over surfaces. Zbl 1008.53065
Alekseev, A.; Meinrenken, E.; Woodward, C.
11
2002
Trace formulas and the Conley-Zehnder index. Zbl 0791.53040
Meinrenken, Eckhard
11
1994
On the Kashiwara-Vergne conjecture. Zbl 1096.22007
Alekseev, A.; Meinrenken, E.
10
2006
Dirac Lie groups. Zbl 1320.53102
Li-Bland, David; Meinrenken, Eckhard
9
2014
Symplectic reduction and Riemann-Roch for circle actions. Zbl 0839.58026
Duistermaat, Hans; Guillemin, Victor; Meinrenken, Eckhard; Wu, Siye
9
1995
Moduli spaces of flat connections on 2-manifolds, cobordism, and Witten’s volume formulas. Zbl 1037.53058
Meinrenken, E.; Woodward, C.
9
1999
Linearization of Poisson actions and singular values of matrix products. Zbl 1012.53064
Alekseev, Anton; Meinrenken, Eckhard; Woodward, Chris
9
2001
On the quantization of conjugacy classes. Zbl 1188.22011
Meinrenken, Eckhard
9
2009
Splitting theorems for Poisson and related structures. Zbl 1425.53103
Bursztyn, Henrique; Lima, Hudson; Meinrenken, Eckhard
9
2019
Linearization of Poisson Lie group structures. Zbl 1357.53096
Alekseev, Anton; Meinrenken, Eckhard
8
2016
Equivariant cohomology and the Maurer-Cartan equation. Zbl 1085.57022
Alekseev, A.; Meinrenken, E.
7
2005
Poisson geometry and the Kashiwara-Vergne conjecture. Zbl 1057.17004
Alekseev, Anton; Meinrenken, Eckhard
7
2002
Clifford algebras and the classical dynamical Yang-Baxter equation. Zbl 1139.17308
Alekseev, A.; Meinrenken, E.
7
2003
Dirac structures and Dixmier-Douady bundles. Zbl 1244.46038
Alekseev, A.; Meinrenken, E.
6
2012
Group-valued equivariant localization. Zbl 0959.58031
Alekseev, A.; Meinrenken, E.; Woodward, C.
6
2000
On the Van Est homomorphism for Lie groupoids. Zbl 1337.55017
Li-Bland, David; Meinrenken, Eckhard
5
2015
Canonical bundles for Hamiltonian loop group manifolds. Zbl 1062.53070
Meinrenken, E.; Woodward, C.
5
2001
Spinor modules for Hamiltonian loop group spaces. Zbl 1456.58005
Loizides, Yiannis; Meinrenken, Eckhard; Song, Yanli
5
2020
Poisson geometry from a Dirac perspective. Zbl 1387.53107
Meinrenken, Eckhard
4
2018
The Atiyah algebroid of the path fibration over a Lie group. Zbl 1181.22019
Alekseev, Anton; Meinrenken, Eckhard
4
2009
Cobordism for Hamiltonian loop group actions and flat connections on the punctured two-sphere. Zbl 0951.53051
Meinrenken, E.; Woodward, E.
4
1999
Lectures on group-valued moment maps and Verlinde formulas. Zbl 1365.53080
Meinrenken, Eckhard
4
2012
Dirac actions and Lu’s Lie algebroid. Zbl 1383.22001
Meinrenken, E.
4
2017
Convexity for twisted conjugation. Zbl 1393.22005
Meinrenken, E.
3
2017
The Weil algebra of a double Lie algebroid. Zbl 1486.53098
Meinrenken, Eckhard; Pike, Jeffrey
3
2021
Deformation spaces and normal forms around transversals. Zbl 1434.53029
Bischoff, Francis; Bursztyn, Henrique; Lima, Hudson; Meinrenken, Eckhard
3
2020
Clifford algebras and the Duflo isomorphism. Zbl 1020.17007
Meinrenken, E.
2
2002
Euler-like vector fields, normal forms, and isotropic embeddings. Zbl 1465.53037
Meinrenken, Eckhard
2
2021
The cubic Dirac operator for infinite-dimensonal Lie algebras. Zbl 1248.17016
Meinrenken, Eckhard
2
2011
Tilings defined by affine Weyl groups. Zbl 1175.20030
Meinrenken, Eckhard
1
2009
Dirac geometry of the holonomy fibration. Zbl 1375.53099
Cabrera, Alejandro; Gualtieri, M.; Meinrenken, E.
1
2017
Quantization of \(q\)-Hamiltonian \(\mathrm{SU}(2)\)-spaces. Zbl 1276.53088
Meinrenken, Eckhard
1
2011
On the Verlinde formulas for \(SO(3)\)-bundles. Zbl 1272.53077
Krepski, Derek; Meinrenken, Eckhard
1
2013
The Weil algebra of a double Lie algebroid. Zbl 1486.53098
Meinrenken, Eckhard; Pike, Jeffrey
3
2021
Euler-like vector fields, normal forms, and isotropic embeddings. Zbl 1465.53037
Meinrenken, Eckhard
2
2021
Spinor modules for Hamiltonian loop group spaces. Zbl 1456.58005
Loizides, Yiannis; Meinrenken, Eckhard; Song, Yanli
5
2020
Deformation spaces and normal forms around transversals. Zbl 1434.53029
Bischoff, Francis; Bursztyn, Henrique; Lima, Hudson; Meinrenken, Eckhard
3
2020
Splitting theorems for Poisson and related structures. Zbl 1425.53103
Bursztyn, Henrique; Lima, Hudson; Meinrenken, Eckhard
9
2019
Poisson geometry from a Dirac perspective. Zbl 1387.53107
Meinrenken, Eckhard
4
2018
Dirac actions and Lu’s Lie algebroid. Zbl 1383.22001
Meinrenken, E.
4
2017
Convexity for twisted conjugation. Zbl 1393.22005
Meinrenken, E.
3
2017
Dirac geometry of the holonomy fibration. Zbl 1375.53099
Cabrera, Alejandro; Gualtieri, M.; Meinrenken, E.
1
2017
Linearization of Poisson Lie group structures. Zbl 1357.53096
Alekseev, Anton; Meinrenken, Eckhard
8
2016
On the Van Est homomorphism for Lie groupoids. Zbl 1337.55017
Li-Bland, David; Meinrenken, Eckhard
5
2015
Dirac Lie groups. Zbl 1320.53102
Li-Bland, David; Meinrenken, Eckhard
9
2014
Clifford algebras and Lie theory. Zbl 1267.15021
Meinrenken, Eckhard
34
2013
On the Verlinde formulas for \(SO(3)\)-bundles. Zbl 1272.53077
Krepski, Derek; Meinrenken, Eckhard
1
2013
Twisted K-homology and group-valued moment maps. Zbl 1260.53143
Meinrenken, E.
15
2012
Dirac structures and Dixmier-Douady bundles. Zbl 1244.46038
Alekseev, A.; Meinrenken, E.
6
2012
Lectures on group-valued moment maps and Verlinde formulas. Zbl 1365.53080
Meinrenken, Eckhard
4
2012
The cubic Dirac operator for infinite-dimensonal Lie algebras. Zbl 1248.17016
Meinrenken, Eckhard
2
2011
Quantization of \(q\)-Hamiltonian \(\mathrm{SU}(2)\)-spaces. Zbl 1276.53088
Meinrenken, Eckhard
1
2011
Courant algebroids and Poisson geometry. Zbl 1169.53061
Li-Bland, David; Meinrenken, Eckhard
20
2009
Pure spinors on Lie groups. Zbl 1251.53052
Alekseev, A.; Bursztyn, H.; Meinrenken, E.
12
2009
On the quantization of conjugacy classes. Zbl 1188.22011
Meinrenken, Eckhard
9
2009
The Atiyah algebroid of the path fibration over a Lie group. Zbl 1181.22019
Alekseev, Anton; Meinrenken, Eckhard
4
2009
Tilings defined by affine Weyl groups. Zbl 1175.20030
Meinrenken, Eckhard
1
2009
Ginzburg-Weinstein via Gelfand-Zeitlin. Zbl 1119.53053
Alekseev, A.; Meinrenken, E.
13
2007
On the Kashiwara-Vergne conjecture. Zbl 1096.22007
Alekseev, A.; Meinrenken, E.
10
2006
Lie theory and the Chern-Weil homomorphism. Zbl 1105.17015
Alekseev, Anton; Meinrenken, Eckhard
20
2005
Witten’s formulas for intersection pairings on moduli spaces of flat \(G\)-bundles. Zbl 1085.53076
Meinrenken, E.
12
2005
Equivariant cohomology and the Maurer-Cartan equation. Zbl 1085.57022
Alekseev, A.; Meinrenken, E.
7
2005
The basic gerbe over a compact simple Lie group. Zbl 1061.53034
Meinrenken, Eckhard
34
2003
Clifford algebras and the classical dynamical Yang-Baxter equation. Zbl 1139.17308
Alekseev, A.; Meinrenken, E.
7
2003
Quasi-Poisson manifolds. Zbl 1006.53072
Alekseev, A.; Kosmann-Schwarzbach, Y.; Meinrenken, E.
55
2002
Duistermaat-Heckman measures and moduli spaces of flat bundles over surfaces. Zbl 1008.53065
Alekseev, A.; Meinrenken, E.; Woodward, C.
11
2002
Poisson geometry and the Kashiwara-Vergne conjecture. Zbl 1057.17004
Alekseev, Anton; Meinrenken, Eckhard
7
2002
Clifford algebras and the Duflo isomorphism. Zbl 1020.17007
Meinrenken, E.
2
2002
The Verlinde formulas as fixed point formulas. Zbl 1033.53074
Alekseev, A.; Meinrenken, E.; Woodward, C.
12
2001
Linearization of Poisson actions and singular values of matrix products. Zbl 1012.53064
Alekseev, Anton; Meinrenken, Eckhard; Woodward, Chris
9
2001
Canonical bundles for Hamiltonian loop group manifolds. Zbl 1062.53070
Meinrenken, E.; Woodward, C.
5
2001
The non-commutative Weil algebra. Zbl 0945.57017
Alekseev, A.; Meinrenken, E.
41
2000
Group-valued equivariant localization. Zbl 0959.58031
Alekseev, A.; Meinrenken, E.; Woodward, C.
6
2000
Singular reduction and quantization. Zbl 0928.37013
Meinrenken, Eckhard; Sjamaar, Reyer
56
1999
Moduli spaces of flat connections on 2-manifolds, cobordism, and Witten’s volume formulas. Zbl 1037.53058
Meinrenken, E.; Woodward, C.
9
1999
Cobordism for Hamiltonian loop group actions and flat connections on the punctured two-sphere. Zbl 0951.53051
Meinrenken, E.; Woodward, E.
4
1999
Lie group valued moment maps. Zbl 0948.53045
Alekseev, Anton; Malkin, Anton; Meinrenken, Eckhard
109
1998
Symplectic surgery and the Spin\(^c\)-Dirac operator. Zbl 0929.53045
Meinrenken, Eckhard
50
1998
Non-Abelian convexity by symplectic cuts. Zbl 0913.58023
Lerman, Eugene; Meinrenken, Eckhard; Tolman, Sue; Woodward, Chris
41
1998
Hamiltonian loop group actions and Verlinde factorization. Zbl 0949.37031
Meinrenken, E.; Woodward, C.
27
1998
On Riemann-Roch formulas for multiplicities. Zbl 0851.53020
Meinrenken, Eckhard
31
1996
Symplectic reduction and Riemann-Roch for circle actions. Zbl 0839.58026
Duistermaat, Hans; Guillemin, Victor; Meinrenken, Eckhard; Wu, Siye
9
1995
Toeplitz quantization of Kähler manifolds and \(gl(N)\), \(N\to \infty\) limits. Zbl 0813.58026
Bordemann, Martin; Meinrenken, Eckhard; Schlichenmaier, Martin
130
1994
Trace formulas and the Conley-Zehnder index. Zbl 0791.53040
Meinrenken, Eckhard
11
1994
Semiclassical principal symbols and Gutzwiller’s trace formula. Zbl 0794.58046
Meinrenken, Eckhard
20
1992
all top 5

Cited by 665 Authors

18 Alekseev, Anton Yur’evich
18 Meinrenken, Eckhard
12 Paradan, Paul-Emile
11 Vergne, Michèle
10 Waldorf, Konrad
9 Ma, Xiaonan
9 Sjamaar, Reyer
8 Engliš, Miroslav
8 Hochs, Peter
8 Ioos, Louis
8 Polterovich, Leonid Viktorovich
8 Woodward, Christopher T.
7 Bursztyn, Henrique
7 Charles, Laurent
7 Fehér, László Gy.
7 Loizides, Yiannis
7 Mathai, Varghese
6 Andersen, Jørgen Ellegaard
6 Barron, Tatyana
6 Boalch, Philip P.
6 Cabrera, Alejandro
6 Fairon, Maxime
6 Karshon, Yael
6 Laurent-Gengoux, Camille
6 Ortega, Juan-Pablo
6 Song, Yanli
6 Torossian, Charles
6 Uribe, Alejandro
6 Xu, Ping
5 Gawȩdzki, Krzysztof
5 Krepski, Derek
5 Marinescu, George
5 Miranda, Eva
5 Ševera, Pavol
5 Szenes, András
5 Vũ Ngọc, San
5 Xu, Xiaomeng
4 Ali, Syed Twareque
4 Guillemin, Victor W.
4 Jeffrey, Lisa Claire
4 Klimčík, Ctirad
4 Kordyukov, Yuri A.
4 Landweber, Gregory D.
4 Lechtenfeld, Olaf
4 Mǎrcuţ, Ioan
4 Pandžić, Pavle
4 Paoletti, Roberto
4 Ratiu, Tudor Stefan
4 Safronov, Pavel
4 Schlichenmaier, Martin
4 Schweigert, Christoph
4 Sheng, Yunhe
4 Teleman, Constantin
4 van de Ven, Christiaan J. F.
4 Waldmann, Stefan
4 Zhang, Weiping
3 Arnlind, Joakim
3 Bismut, Jean-Michel
3 Borthwick, David
3 Calaque, Damien
3 Drummond, Thiago
3 Fok, Chi-Kwong
3 Frejlich, Pedro
3 Grabowski, Janusz
3 Hall, Brian C.
3 Hoppe, Jens
3 Jordan, David Andrew
3 Kumar, Shrawan
3 Landsman, Nicolaas P.
3 Mouquin, Victor
3 Mudrov, Andrey I.
3 Nguyen Tien Zung
3 Paul, Thierry
3 Pelayo, Alvaro
3 Popov, Alexander D.
3 Popov, Georgi St.
3 Salazar, María Amelia
3 Strobl, Thomas
3 Suszek, Rafał R.
3 Szabo, Richard J.
3 Takakura, Tatsuru
3 Tolman, Susan
3 Tu, Jean-Louis
3 Valach, Fridrich
3 Viviani, Milo
3 Watamura, Satoshi
3 Weitsman, Jonathan
3 Xu, Hao
2 Abreu, Miguel
2 Aouiti, Chaouki
2 Bar-Natan, Dror
2 Bauer, Wolfram
2 Ben Gharbia, Imen
2 Blacker, Casey
2 Bordemann, Martin
2 Carow-Watamura, Ursula
2 Cattaneo, Alberto Sergio
2 Chalykh, Oleg A.
2 Chan, Kwokwai
2 Chatzistavrakidis, Athanasios
...and 565 more Authors
all top 5

Cited in 143 Serials

56 Journal of Geometry and Physics
51 Communications in Mathematical Physics
44 Advances in Mathematics
34 Letters in Mathematical Physics
27 Journal of Mathematical Physics
22 Transactions of the American Mathematical Society
16 Duke Mathematical Journal
15 Comptes Rendus. Mathématique. Académie des Sciences, Paris
12 Annales de l’Institut Fourier
12 Journal of Functional Analysis
11 Reviews in Mathematical Physics
10 Journal für die Reine und Angewandte Mathematik
10 Differential Geometry and its Applications
10 Indagationes Mathematicae. New Series
10 Transformation Groups
9 Mathematische Zeitschrift
8 Nuclear Physics. B
8 Journal of Algebra
8 The Journal of Geometric Analysis
8 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
7 Mathematische Annalen
6 Inventiones Mathematicae
6 Proceedings of the American Mathematical Society
6 International Journal of Mathematics
6 Journal of High Energy Physics
6 Journal of Noncommutative Geometry
5 Annals of Global Analysis and Geometry
5 Communications in Partial Differential Equations
5 Annales Henri Poincaré
5 Algebraic & Geometric Topology
4 International Journal of Modern Physics A
4 Reports on Mathematical Physics
4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
4 Journal of Lie Theory
4 Selecta Mathematica. New Series
4 Documenta Mathematica
4 Geometry & Topology
4 Annals of Mathematics. Second Series
4 Journal of the European Mathematical Society (JEMS)
4 Journal of Geometric Mechanics
3 Physics Letters. B
3 Journal of Pure and Applied Algebra
3 Memoirs of the American Mathematical Society
3 Pacific Journal of Mathematics
3 Representation Theory
3 Algebras and Representation Theory
3 Acta Mathematica Sinica. English Series
3 Journal de l’École Polytechnique – Mathématiques
3 Complex Manifolds
2 Israel Journal of Mathematics
2 Journal of Mathematical Analysis and Applications
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Journal of the Mathematical Society of Japan
2 Journal of the American Mathematical Society
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Bulletin of the American Mathematical Society. New Series
2 Expositiones Mathematicae
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Journal of Algebraic Combinatorics
2 Journal of Mathematical Sciences (New York)
2 Advances in Applied Clifford Algebras
2 Theory and Applications of Categories
2 Communications in Contemporary Mathematics
2 Foundations of Computational Mathematics
2 Acta Mathematica Scientia. Series B. (English Edition)
2 Bulletin of the Brazilian Mathematical Society. New Series
2 International Journal of Geometric Methods in Modern Physics
2 Japanese Journal of Mathematics. 3rd Series
2 Research in the Mathematical Sciences
2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 Algebraic Combinatorics
2 Annales Henri Lebesgue
1 Classical and Quantum Gravity
1 Journal d’Analyse Mathématique
1 Journal of Fluid Mechanics
1 Journal of Statistical Physics
1 Linear and Multilinear Algebra
1 Mathematical Notes
1 Physics Reports
1 Reviews of Modern Physics
1 Rocky Mountain Journal of Mathematics
1 Russian Mathematical Surveys
1 Mathematics of Computation
1 Fortschritte der Physik
1 Acta Mathematica
1 Archiv der Mathematik
1 Canadian Journal of Mathematics
1 Compositio Mathematica
1 Geometriae Dedicata
1 Glasgow Mathematical Journal
1 Publications Mathématiques
1 Integral Equations and Operator Theory
1 Manuscripta Mathematica
1 Mathematische Nachrichten
1 Michigan Mathematical Journal
1 Proceedings of the London Mathematical Society. Third Series
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Tokyo Journal of Mathematics
1 Advances in Applied Mathematics
1 Chinese Annals of Mathematics. Series B
...and 43 more Serials
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Cited in 47 Fields

374 Differential geometry (53-XX)
179 Quantum theory (81-XX)
114 Global analysis, analysis on manifolds (58-XX)
109 Nonassociative rings and algebras (17-XX)
96 Topological groups, Lie groups (22-XX)
70 Manifolds and cell complexes (57-XX)
66 Algebraic geometry (14-XX)
52 Several complex variables and analytic spaces (32-XX)
48 Dynamical systems and ergodic theory (37-XX)
43 Operator theory (47-XX)
40 Associative rings and algebras (16-XX)
36 Algebraic topology (55-XX)
31 Group theory and generalizations (20-XX)
31 Functional analysis (46-XX)
30 \(K\)-theory (19-XX)
24 Category theory; homological algebra (18-XX)
24 Mechanics of particles and systems (70-XX)
23 Partial differential equations (35-XX)
18 Relativity and gravitational theory (83-XX)
16 Combinatorics (05-XX)
15 Linear and multilinear algebra; matrix theory (15-XX)
11 Ordinary differential equations (34-XX)
9 Convex and discrete geometry (52-XX)
7 Statistical mechanics, structure of matter (82-XX)
6 Abstract harmonic analysis (43-XX)
5 Number theory (11-XX)
3 Commutative algebra (13-XX)
3 Functions of a complex variable (30-XX)
3 Special functions (33-XX)
3 Geometry (51-XX)
3 Probability theory and stochastic processes (60-XX)
3 Numerical analysis (65-XX)
3 Fluid mechanics (76-XX)
2 General algebraic systems (08-XX)
2 Measure and integration (28-XX)
2 Potential theory (31-XX)
2 Integral equations (45-XX)
2 Computer science (68-XX)
1 History and biography (01-XX)
1 Field theory and polynomials (12-XX)
1 Difference and functional equations (39-XX)
1 Approximations and expansions (41-XX)
1 Integral transforms, operational calculus (44-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Biology and other natural sciences (92-XX)
1 Systems theory; control (93-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year