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Itzykson, Claude

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Author ID: itzykson.claude Recent zbMATH articles by "Itzykson, Claude"
Published as: Itzykson, C.; Itzykson, Claude
External Links: Wikidata · GND
Documents Indexed: 56 Publications since 1965, including 4 Books
Biographic References: 5 Publications

Publications by Year

Citations contained in zbMATH Open

47 Publications have been cited 1,951 times in 1,736 Documents Cited by Year
Quantum field theory techniques in graphical enumeration. Zbl 0453.05035
Bessis, D.; Itzykson, C.; Zuber, J. B.
699
1980
Planar diagrams. Zbl 0997.81548
Brézin, E.; Itzykson, C.; Parisi, G.; Zuber, J. B.
265
1978
The planar approximation. II. Zbl 0997.81549
Itzykson, C.; Zuber, J. B.
172
1980
The A-D-E classification of minimal and \(A_ 1^{(1)}\) conformal invariant theories. Zbl 0639.17008
Cappelli, A.; Itzykson, C.; Zuber, J. B.
110
1987
Statistical field theory. Vol. 2: Strong coupling, Monte Carlo methods, conformal field theory, and random systems. Zbl 0825.81001
Itzykson, Claude; Drouffe, Jean-Michel
109
1989
Modular invariant partition functions in two dimensions. Zbl 0661.17017
Cappelli, A.; Itzykson, C.; Zuber, J. B.
84
1987
Combinatorics of the modular group. II: The Kontsevich integrals. Zbl 0972.14500
Itzykson, C.; Zuber, J.-B.
49
1992
Conformal invariance and applications to statistical mechanics. Collection of reprints. Zbl 0723.00044
Itzykson, Claude (ed.); Saleur, Hubert (ed.); Zuber, Jean-Bernard (ed.)
44
1988
Classical \(W\)-algebras. Zbl 0752.17026
Di Francesco, P.; Itzykson, C.; Zuber, J.-B.
37
1991
Statistical field theory. Vol. 1: From Brownian motion to renormalization and lattice gauge theory. Zbl 0825.81002
Itzykson, Claude; Drouffe, Jean-Michel
37
1989
Laughlin’s wave functions, Coulomb gases and expansions of the discriminant. Zbl 0988.81563
Di Francesco, P.; Gaudin, M.; Itzykson, C.; Lesage, F.
34
1994
Unitary groups: Representations and decompositions. Zbl 0138.46401
Itzykson, C.; Nauenberg, M.
28
1966
Covariant differential equations and singular vectors in Virasoro representations. Zbl 0957.17508
Bauer, M.; Di Francesco, Ph.; Itzykson, C.
27
1991
Quantum intersection rings. Appendix A. Zbl 0868.14029
Di Francesco, P.; Itzykson, C.
23
1995
The branching rules of conformal embeddings. Zbl 0709.17019
Altschuler, Daniel; Bauer, Michel; Itzykson, Claude
23
1990
Remarks on boson commutation rules. Zbl 0152.23204
Itzykson, C.
22
1967
Matrix integration and combinatorics of modular groups. Zbl 0709.57007
Itzykson, C.; Zuber, J.-B.
21
1990
Level one Kac-Moody characters and modular invariance. Zbl 0958.17501
Itzykson, Claude
16
1988
Fuchsian triangle groups and Grothendieck dessins. Variations on a theme of Belyi. Zbl 0811.14030
Cohen, Paula Beazley; Itzykson, Claude; Wolfart, Jürgen
13
1994
Polynomial averages in the Kontsevich model. Zbl 0831.14010
Di Francesco, P.; Itzykson, C.; Zuber, J.-B.
13
1993
From number theory to physics. Lectures of a meeting on number theory and physics held at the Centre de Physique, Les Houches (France), March 7-16, 1989. Zbl 0784.00021
Waldschmidt, Michel (ed.); Moussa, Pierre (ed.); Luck, Jean-Marc (ed.); Itzykson, Claude (ed.)
13
1992
Group representation in a continuous basis: An example. Zbl 0181.28303
Itzykson, C.
13
1969
A generating function for fatgraphs. Zbl 0796.05045
Di Francesco, P.; Itzykson, C.
11
1993
Observations sur la mécanique quantique finie. (Observations on finite quantum mechanics). Zbl 0606.22017
Balian, Roger; Itzykson, Claude
9
1986
Singular vectors of the Virasoro algebra. Zbl 0957.17510
Bauer, M.; Di Francesco, Ph.; Itzykson, C.; Zuber, J.-B.
7
1991
Triangulations. Zbl 0864.57013
Bauer, M.; Itzykson, C.
6
1996
Comments on the links between \(su(3)\) modular invariants, simple factors in the Jacobian of Fermat curves, and rational triangular billiards. Zbl 0895.14009
Bauer, M.; Coste, A.; Itzykson, C.; Ruelle, P.
5
1997
Modular transformations of SU(N) affine characters and their commutant. Zbl 0703.17017
Bauer, M.; Itzykson, C.
5
1990
Two-dimensional field theories close to criticality. Zbl 1084.82537
Saleur, H.; Itzykson, C.
5
1987
Simple integrable systems, and Lie algebras. Zbl 0672.58016
Itzykson, C.
5
1986
Sum rules for quantum billiards. Zbl 0605.35068
Itzykson, C.; Moussa, P.; Luck, J. M.
5
1986
Arithmetical degeneracies in simple quantum systems. Zbl 0597.58041
Itzykson, C.; Luck, J. M.
5
1986
Triangulations. Zbl 0848.14013
Bauer, Michel; Itzykson, Claude
4
1994
Rational billiards and algebraic curves. Zbl 0688.70017
Aurell, E.; Itzykson, C.
4
1988
Fields on a random lattice. I. Zbl 0565.58003
Itzykson, C.
4
1986
Counting rational curves on rational surfaces. Zbl 0885.14027
Itzykson, C.
3
1994
\(W\)-geometry. Zbl 0769.53004
Itzykson, C.
3
1991
\(W\)-geometry. Zbl 0746.53023
Itzykson, C.
3
1991
Counting rational curves on rational surfaces. Zbl 1264.14069
Itzykson, Claude
2
1996
Geometry of differential equations and projective representations of the Witt algebra. Zbl 0803.34074
Itzykson, C.
2
1992
Remarks on integration over Lie algebras. Zbl 0717.43006
Altschuler, Daniel; Itzykson, Claude
2
1991
Zeros of the partition function for statistical models on regular and hierarchical lattices. Zbl 0569.28009
Itzykson, C.; Luck, J. M.
2
1985
Lattice gauge theory and surface roughening. Zbl 1063.81629
Itzykson, C.
2
1981
Toeplitz determinants as group averages. Zbl 0271.15005
Itzykson, C.
2
1970
Affine characters and modular transformations. Zbl 0716.17030
Bauer, M.; Itzykson, C.
1
1990
Combinatorics of mapping class groups and matrix integration. Zbl 0957.57501
Itzykson, C.; Zuber, J.-B.
1
1990
On the possibility of relating internal symmetries and Lorentz invariance. Zbl 0135.44801
Itzykson, C.
1
1965
Comments on the links between \(su(3)\) modular invariants, simple factors in the Jacobian of Fermat curves, and rational triangular billiards. Zbl 0895.14009
Bauer, M.; Coste, A.; Itzykson, C.; Ruelle, P.
5
1997
Triangulations. Zbl 0864.57013
Bauer, M.; Itzykson, C.
6
1996
Counting rational curves on rational surfaces. Zbl 1264.14069
Itzykson, Claude
2
1996
Quantum intersection rings. Appendix A. Zbl 0868.14029
Di Francesco, P.; Itzykson, C.
23
1995
Laughlin’s wave functions, Coulomb gases and expansions of the discriminant. Zbl 0988.81563
Di Francesco, P.; Gaudin, M.; Itzykson, C.; Lesage, F.
34
1994
Fuchsian triangle groups and Grothendieck dessins. Variations on a theme of Belyi. Zbl 0811.14030
Cohen, Paula Beazley; Itzykson, Claude; Wolfart, Jürgen
13
1994
Triangulations. Zbl 0848.14013
Bauer, Michel; Itzykson, Claude
4
1994
Counting rational curves on rational surfaces. Zbl 0885.14027
Itzykson, C.
3
1994
Polynomial averages in the Kontsevich model. Zbl 0831.14010
Di Francesco, P.; Itzykson, C.; Zuber, J.-B.
13
1993
A generating function for fatgraphs. Zbl 0796.05045
Di Francesco, P.; Itzykson, C.
11
1993
Combinatorics of the modular group. II: The Kontsevich integrals. Zbl 0972.14500
Itzykson, C.; Zuber, J.-B.
49
1992
From number theory to physics. Lectures of a meeting on number theory and physics held at the Centre de Physique, Les Houches (France), March 7-16, 1989. Zbl 0784.00021
Waldschmidt, Michel (ed.); Moussa, Pierre (ed.); Luck, Jean-Marc (ed.); Itzykson, Claude (ed.)
13
1992
Geometry of differential equations and projective representations of the Witt algebra. Zbl 0803.34074
Itzykson, C.
2
1992
Classical \(W\)-algebras. Zbl 0752.17026
Di Francesco, P.; Itzykson, C.; Zuber, J.-B.
37
1991
Covariant differential equations and singular vectors in Virasoro representations. Zbl 0957.17508
Bauer, M.; Di Francesco, Ph.; Itzykson, C.
27
1991
Singular vectors of the Virasoro algebra. Zbl 0957.17510
Bauer, M.; Di Francesco, Ph.; Itzykson, C.; Zuber, J.-B.
7
1991
\(W\)-geometry. Zbl 0769.53004
Itzykson, C.
3
1991
\(W\)-geometry. Zbl 0746.53023
Itzykson, C.
3
1991
Remarks on integration over Lie algebras. Zbl 0717.43006
Altschuler, Daniel; Itzykson, Claude
2
1991
The branching rules of conformal embeddings. Zbl 0709.17019
Altschuler, Daniel; Bauer, Michel; Itzykson, Claude
23
1990
Matrix integration and combinatorics of modular groups. Zbl 0709.57007
Itzykson, C.; Zuber, J.-B.
21
1990
Modular transformations of SU(N) affine characters and their commutant. Zbl 0703.17017
Bauer, M.; Itzykson, C.
5
1990
Affine characters and modular transformations. Zbl 0716.17030
Bauer, M.; Itzykson, C.
1
1990
Combinatorics of mapping class groups and matrix integration. Zbl 0957.57501
Itzykson, C.; Zuber, J.-B.
1
1990
Statistical field theory. Vol. 2: Strong coupling, Monte Carlo methods, conformal field theory, and random systems. Zbl 0825.81001
Itzykson, Claude; Drouffe, Jean-Michel
109
1989
Statistical field theory. Vol. 1: From Brownian motion to renormalization and lattice gauge theory. Zbl 0825.81002
Itzykson, Claude; Drouffe, Jean-Michel
37
1989
Conformal invariance and applications to statistical mechanics. Collection of reprints. Zbl 0723.00044
Itzykson, Claude (ed.); Saleur, Hubert (ed.); Zuber, Jean-Bernard (ed.)
44
1988
Level one Kac-Moody characters and modular invariance. Zbl 0958.17501
Itzykson, Claude
16
1988
Rational billiards and algebraic curves. Zbl 0688.70017
Aurell, E.; Itzykson, C.
4
1988
The A-D-E classification of minimal and \(A_ 1^{(1)}\) conformal invariant theories. Zbl 0639.17008
Cappelli, A.; Itzykson, C.; Zuber, J. B.
110
1987
Modular invariant partition functions in two dimensions. Zbl 0661.17017
Cappelli, A.; Itzykson, C.; Zuber, J. B.
84
1987
Two-dimensional field theories close to criticality. Zbl 1084.82537
Saleur, H.; Itzykson, C.
5
1987
Observations sur la mécanique quantique finie. (Observations on finite quantum mechanics). Zbl 0606.22017
Balian, Roger; Itzykson, Claude
9
1986
Simple integrable systems, and Lie algebras. Zbl 0672.58016
Itzykson, C.
5
1986
Sum rules for quantum billiards. Zbl 0605.35068
Itzykson, C.; Moussa, P.; Luck, J. M.
5
1986
Arithmetical degeneracies in simple quantum systems. Zbl 0597.58041
Itzykson, C.; Luck, J. M.
5
1986
Fields on a random lattice. I. Zbl 0565.58003
Itzykson, C.
4
1986
Zeros of the partition function for statistical models on regular and hierarchical lattices. Zbl 0569.28009
Itzykson, C.; Luck, J. M.
2
1985
Lattice gauge theory and surface roughening. Zbl 1063.81629
Itzykson, C.
2
1981
Quantum field theory techniques in graphical enumeration. Zbl 0453.05035
Bessis, D.; Itzykson, C.; Zuber, J. B.
699
1980
The planar approximation. II. Zbl 0997.81549
Itzykson, C.; Zuber, J. B.
172
1980
Planar diagrams. Zbl 0997.81548
Brézin, E.; Itzykson, C.; Parisi, G.; Zuber, J. B.
265
1978
Toeplitz determinants as group averages. Zbl 0271.15005
Itzykson, C.
2
1970
Group representation in a continuous basis: An example. Zbl 0181.28303
Itzykson, C.
13
1969
Remarks on boson commutation rules. Zbl 0152.23204
Itzykson, C.
22
1967
Unitary groups: Representations and decompositions. Zbl 0138.46401
Itzykson, C.; Nauenberg, M.
28
1966
On the possibility of relating internal symmetries and Lorentz invariance. Zbl 0135.44801
Itzykson, C.
1
1965
all top 5

Cited by 2,349 Authors

21 Zuber, Jean-Bernard
17 Di Francesco, Philippe
14 Eynard, Bertrand
13 Coquereaux, Robert
12 Guitter, Emmanuel
12 Itzykson, Claude
11 Guionnet, Alice
11 Mironov, Andrei D.
10 Gannon, Terry
9 Gurau, Razvan
9 Morozov, Alexei Yurievich
9 Orlov, Aleksandr Yu.
9 Pastur, Leonid Andreevich
8 Akemann, Gernot
8 Bouttier, Jérémie
8 Guhr, Thomas
8 Kieburg, Mario
8 Lazzarini, Serge
8 Mariño, Marcos
8 O’Connor, Denjoe
8 Schubert, Christian
8 Yang, Di
7 Alexandrov, Alexander Sergeevich
7 Bandelloni, Giuseppe
7 Bertola, Marco
7 Borot, Gaëtan
7 Evans, David E.
7 Forrester, Peter J.
7 Harnad, John
7 Rivasseau, Vincent
7 Sveshnikov, Konstantin Alekseevich
7 Szabo, Richard J.
7 Viano, Giovanni Alberto
7 Zarembo, Konstantin
6 Ambjørn, Jan
6 Blasone, Massimo
6 Chekhov, Leonid O.
6 Irie, Hirotaka
6 Jentschura, Ulrich D.
6 Ludwig, Andreas W. W.
6 Malbouisson, Adolfo P. C.
6 Morozov, Al’bert Dmitrievich
6 Ruelle, Philippe
6 Saleur, Hubert
6 Schellekens, A. N.
6 Takook, Mohammad Vahid
6 Vitiello, Giuseppe
6 Xu, Feng
6 Zinn-Justin, Paul
5 Adler, Mark
5 Bleher, Pavel M.
5 Brouder, Christian
5 Chan, Chuantsung
5 Cheng, Miranda C. N.
5 Degiovanni, Pascal
5 Delfino, Gesualdo
5 Dijkgraaf, Robbert H.
5 Dong, Chongying
5 Duplantier, Bertrand
5 Eguchi, Tohru
5 Feinberg, Joshua
5 Felder, Giovanni
5 Forghan, B.
5 Fyodorov, Yan V.
5 Goulden, Ian P.
5 Jackson, David M.
5 Jones, Gareth A.
5 Kholodenko, Arkady L.
5 Kuijlaars, Arno B. J.
5 Lorin, Emmanuel
5 Marcolli, Matilde
5 McLaughlin, Kenneth D. T.-R.
5 Pearce, Paul A.
5 Petkova, Valentina B.
5 Pugh, Mathew
5 Russo, Jorge G.
5 Schiappa, Ricardo
5 Shakirov, Sh. R.
5 Simsek, Yilmaz
5 Strahov, Eugene
5 Vafa, Cumrun
5 van Moerbeke, Pierre
5 Yeh, Chi-Hsien
4 Bauer, Michel
4 Borinsky, Michael
4 Bousquet-Mélou, Mireille
4 Capozziello, Salvatore
4 Cappelli, Andrea
4 de Haro, Sebastian
4 de Mello Koch, Robert
4 Dubrovin, Boris Anatol’evich
4 Dvornikov, Maxim
4 Ferretti, Gabriele
4 Gogokhia, V.
4 Gopakumar, Rajesh
4 Gracia-Bondía, José M.
4 Guadagnini, Enore
4 Gurau, Razvan G.
4 Harrison, Sarah M.
4 Jacobsen, Jesper Lykke
...and 2,249 more Authors
all top 5

Cited in 188 Serials

221 Nuclear Physics. B
176 Communications in Mathematical Physics
155 Journal of High Energy Physics
125 Journal of Mathematical Physics
87 Annals of Physics
53 Physics Letters. B
50 Journal of Statistical Physics
49 International Journal of Modern Physics A
49 International Journal of Theoretical Physics
47 Theoretical and Mathematical Physics
41 Letters in Mathematical Physics
39 Physics Letters. A
24 Journal of Geometry and Physics
22 Physics Reports
22 Journal of Statistical Mechanics: Theory and Experiment
20 Nuclear Physics, B, Proceedings Supplements
20 Physical Review Letters
19 Foundations of Physics
18 Annales Henri Poincaré
17 Modern Physics Letters A
16 General Relativity and Gravitation
16 Advances in Mathematics
12 Physica D
12 International Journal of Geometric Methods in Modern Physics
11 Physica A
11 Reviews in Mathematical Physics
11 Journal of Algebra
10 Computer Physics Communications
10 Annales de l’Institut Henri Poincaré. Physique Théorique
10 Journal of Physics A: Mathematical and Theoretical
8 Journal of Mathematical Analysis and Applications
8 Chaos, Solitons and Fractals
8 Transactions of the American Mathematical Society
7 International Journal of Modern Physics B
7 Reports on Mathematical Physics
7 The Annals of Probability
7 Journal of Combinatorial Theory. Series A
7 Journal of Functional Analysis
7 Bulletin of the American Mathematical Society. New Series
7 Journal of Knot Theory and its Ramifications
7 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
7 Random Matrices: Theory and Applications
6 Journal of Computational Physics
6 Inventiones Mathematicae
6 Mathematical Physics, Analysis and Geometry
5 Communications on Pure and Applied Mathematics
5 Duke Mathematical Journal
5 Constructive Approximation
5 Physical Review D. Series III
4 Annales de l’Institut Fourier
4 Journal of Approximation Theory
4 European Journal of Combinatorics
4 Probability Theory and Related Fields
4 Mathematical and Computer Modelling
4 International Journal of Modern Physics D
4 Journal of Mathematical Sciences (New York)
4 Geometry & Topology
4 Advances in High Energy Physics
4 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics
4 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD)
3 Fortschritte der Physik
3 Functional Analysis and its Applications
3 Journal of Computational and Applied Mathematics
3 Journal of Number Theory
3 Proceedings of the American Mathematical Society
3 Journal of Theoretical Probability
3 Experimental Mathematics
3 Journal of Algebraic Combinatorics
3 Russian Journal of Mathematical Physics
3 Advances in Applied Clifford Algebras
3 The European Physical Journal C. Particles and Fields
3 Advances in Mathematical Physics
2 Discrete Applied Mathematics
2 Discrete Mathematics
2 Mathematical Notes
2 Reviews of Modern Physics
2 Acta Mathematica
2 Applied Mathematics and Computation
2 Illinois Journal of Mathematics
2 Journal of Pure and Applied Algebra
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Advances in Applied Mathematics
2 Acta Applicandae Mathematicae
2 Journal of the American Mathematical Society
2 International Journal of Mathematics
2 Expositiones Mathematicae
2 St. Petersburg Mathematical Journal
2 Journal of Mathematical Chemistry
2 Annals of Combinatorics
2 Infinite Dimensional Analysis, Quantum Probability and Related Topics
2 New Journal of Physics
2 Journal of the European Mathematical Society (JEMS)
2 Russian Physics Journal
2 Communications in Contemporary Mathematics
2 Proceedings of the Steklov Institute of Mathematics
2 Quantum Topology
2 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
2 Analysis and Mathematical Physics
1 Applicable Analysis
1 Classical and Quantum Gravity
...and 88 more Serials
all top 5

Cited in 59 Fields

1,172 Quantum theory (81-XX)
284 Statistical mechanics, structure of matter (82-XX)
204 Relativity and gravitational theory (83-XX)
171 Nonassociative rings and algebras (17-XX)
136 Probability theory and stochastic processes (60-XX)
133 Algebraic geometry (14-XX)
127 Linear and multilinear algebra; matrix theory (15-XX)
116 Combinatorics (05-XX)
108 Partial differential equations (35-XX)
88 Dynamical systems and ergodic theory (37-XX)
80 Global analysis, analysis on manifolds (58-XX)
72 Topological groups, Lie groups (22-XX)
70 Differential geometry (53-XX)
62 Special functions (33-XX)
61 Manifolds and cell complexes (57-XX)
58 Number theory (11-XX)
53 Functional analysis (46-XX)
43 Mechanics of particles and systems (70-XX)
39 Functions of a complex variable (30-XX)
37 Group theory and generalizations (20-XX)
30 Several complex variables and analytic spaces (32-XX)
30 Numerical analysis (65-XX)
24 Associative rings and algebras (16-XX)
23 Harmonic analysis on Euclidean spaces (42-XX)
21 Operator theory (47-XX)
20 Statistics (62-XX)
19 Category theory; homological algebra (18-XX)
19 Ordinary differential equations (34-XX)
13 Approximations and expansions (41-XX)
13 Fluid mechanics (76-XX)
12 Abstract harmonic analysis (43-XX)
12 Biology and other natural sciences (92-XX)
11 Optics, electromagnetic theory (78-XX)
10 Computer science (68-XX)
8 Convex and discrete geometry (52-XX)
8 Information and communication theory, circuits (94-XX)
7 General and overarching topics; collections (00-XX)
7 Measure and integration (28-XX)
7 Difference and functional equations (39-XX)
7 Integral transforms, operational calculus (44-XX)
5 Commutative algebra (13-XX)
5 Potential theory (31-XX)
5 Geometry (51-XX)
5 Algebraic topology (55-XX)
5 Classical thermodynamics, heat transfer (80-XX)
5 Astronomy and astrophysics (85-XX)
4 History and biography (01-XX)
4 Field theory and polynomials (12-XX)
4 \(K\)-theory (19-XX)
4 Sequences, series, summability (40-XX)
3 Integral equations (45-XX)
3 Mechanics of deformable solids (74-XX)
3 Operations research, mathematical programming (90-XX)
2 Mathematical logic and foundations (03-XX)
2 Real functions (26-XX)
2 Geophysics (86-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Calculus of variations and optimal control; optimization (49-XX)

Citations by Year

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