# zbMATH — the first resource for mathematics

## Baxter, Rodney J.

Compute Distance To:
 Author ID: baxter.rodney-j Published as: Baxter, R.; Baxter, R. J.; Baxter, Rodney; Baxter, Rodney J. External Links: Wikidata
 Documents Indexed: 82 Publications since 1963, including 3 Books Biographic References: 3 Publications
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#### Co-Authors

 58 single-authored 7 Andrews, George Eyre 7 Bazhanov, Vladimir V. 3 Forrester, Peter J. 3 O’Rourke, M. J. 2 Baake, Michael 2 Grimm, Uwe 1 Batchelor, Murray T. 1 Bressoud, David M. 1 Burge, William H. 1 Guttmann, Anthony John 1 Kelland, S. B. 1 Owczarek, Aleksander L. 1 Quispel, Gilles Reinout Willem 1 Viennot, Xavier Gérard 1 Wu, Fuyuan 1 Yung, C. M.
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#### Serials

 30 Journal of Statistical Physics 7 Journal of Physics A: Mathematical and General 5 Journal of Physics A: Mathematical and Theoretical 4 Annals of Physics 3 International Journal of Modern Physics B 3 Annals of Combinatorics 2 Physica A 2 The ANZIAM Journal 1 American Mathematical Monthly 1 Journal of Mathematical Physics 1 Reviews in Mathematical Physics 1 Notre Dame Journal of Formal Logic 1 Zeitschrift für Mathematische Logik und Grundlagen der Mathematik 1 European Journal of Combinatorics 1 Physica D 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of Statistical Mechanics: Theory and Experiment 1 Proceedings of the Cambridge Philosophical Society 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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#### Fields

 72 Statistical mechanics, structure of matter (82-XX) 20 Probability theory and stochastic processes (60-XX) 14 Combinatorics (05-XX) 9 Number theory (11-XX) 6 Special functions (33-XX) 5 Quantum theory (81-XX) 3 History and biography (01-XX) 3 Algebraic geometry (14-XX) 2 Mathematical logic and foundations (03-XX) 2 Associative rings and algebras (16-XX) 2 Nonassociative rings and algebras (17-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Computer science (68-XX) 1 Relativity and gravitational theory (83-XX)

#### Citations contained in zbMATH

67 Publications have been cited 2,560 times in 1,899 Documents Cited by Year
Exactly solved models in statistical mechanics. Zbl 0538.60093
Baxter, Rodney J.
1982
Partition function of the eight-vertex lattice model. Zbl 0236.60070
Baxter, Rodney J.
1972
Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities. Zbl 0589.60093
Andrews, George E.; Baxter, R. J.; Forrester, P. J.
1984
Exactly solved models in statistical mechanics. Paperback ed. Zbl 0723.60120
Baxter, Rodney J.
1989
Exactly solved models in statistical mechanics. Reprint of the 1989 ed. Zbl 1201.60091
Baxter, Rodney J.
2007
Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. II: Equivalence to a generalized ice-type lattice model. Zbl 1092.82513
Baxter, Rodney
1973
Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. I: Some fundamental eigenvectors. Zbl 1092.82511
Baxter, Rodney
1973
Further exact solutions of the eight-vertex SOS model and generalizations of the Rogers-Ramanujan identities. Zbl 0625.10010
Forrester, P. J.; Baxter, R. J.
1985
Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. III: Eigenvectors of the transfer matrix and Hamiltonian. Zbl 1092.82512
Baxter, Rodney
1973
Solving models in statistical mechanics. Zbl 0825.58051
Baxter, R. J.
1989
Equivalence of the Potts model or Whitney polynomial with an ice-type model. Zbl 0321.05140
Baxter, R. J.; Kelland, S. B.; Wu, F. Y.
1976
Completeness of the Bethe ansatz for the six- and eight-vertex models. Zbl 1067.82014
Baxter, R. J.
2002
Lattice gas generalization of the hard hexagon model. III: $$q$$-trinomial coefficients. Zbl 0638.10009
Andrews, G. E.; Baxter, R. J.
1987
Rogers-Ramanujan identities in the hard hexagon model. Zbl 0511.05004
Baxter, R. J.
1981
Exact solution and interfacial tension of the six-vertex model with anti- periodic boundary conditions. Zbl 0827.60096
Batchelor, M. T.; Baxter, R. J.; O’Rourke, M. J.; Yung, C. M.
1995
Free energy of the solvable chiral Potts model. Zbl 1084.82530
Baxter, R. J.
1988
Partitions with prescribed hook differences. Zbl 0643.05006
Andrews, George E.; Baxter, R. J.; Bressoud, D. M.; Burge, William H.; Forrester, P. J.; Viennot, G.
1987
Planar lattice gases with nearest-neighbor exclusion. Zbl 0933.05029
Baxter, R. J.
1999
New solvable lattice models in three dimensions. Zbl 0876.17031
Bazhanov, V. V.; Baxter, R. J.
1992
The Yang-Baxter equations and the Zamolodchikov model. Zbl 0603.58051
Baxter, R. J.
1986
Star-triangle relation for a three-dimensional model. Zbl 0935.82509
Bazhanov, V. V.; Baxter, R. J.
1993
Chromatic polynomials of large triangular lattices. Zbl 0625.05023
Baxter, R. J.
1987
Three-colorings of the square lattice: A hard squares model. Zbl 0211.26904
Baxter, R. J.
1970
The order parameter of the chiral Potts model. Zbl 1142.82004
Baxter, R. J.
2005
Dichromatic polynomials and Potts models summed over rooted maps. Zbl 0983.05041
Baxter, R. J.
2001
Transfer matrix functional relations for the generalized $$\tau_2(t_q)$$ model. Zbl 1206.82013
Baxter, R. J.
2004
A motivated proof of the Rogers-Ramanujan identities. Zbl 0681.10009
Andrews, George E.; Baxter, R. J.
1989
A class of interaction-round-a-face models and its equivalence with an ice-type model. Zbl 0962.82507
Owczarek, A. L.; Baxter, R. J.
1987
Chiral Potts model with skewed boundary conditions. Zbl 1102.82302
Baxter, R. J.
1993
A conjecture for the superintegrable chiral Potts model. Zbl 1151.82314
Baxter, R. J.
2008
Interfacial tension of the chiral Potts model. Zbl 0844.60099
Baxter, R. J.
1994
Functional relations for the order parameters of the chiral Potts model. Zbl 0922.60092
Baxter, R. J.
1998
Hyperelliptic function parametrization for the chiral Potts model. Zbl 0778.14015
Baxter, R. J.
1991
Series expansion of the percolation probability for the directed square lattice. Zbl 0653.60109
Baxter, R. J.; Guttmann, A. J.
1988
Onsager and Kaufman’s calculation of the spontaneous magnetization of the Ising model. Zbl 1252.82024
Baxter, R. J.
2011
Spontaneous magnetization of the superintegrable chiral Potts model: calculation of the determinant $$D_{PQ}$$. Zbl 1194.82012
Baxter, R. J.
2010
The “inversion relation” method for obtaining the free energy of the chiral Potts model. Zbl 1038.82010
Baxter, R. J.
2003
Star-triangle and star-star relations in statistical mechanics. Zbl 1229.82061
Baxter, R. J.
1997
Lattice gas generalization of the hard hexagon model. I: Star-triangle relation and local densities. Zbl 0638.10007
Baxter, R. J.; Andrews, George E.
1986
Statistical mechanics of a one-dimensional Coulomb system with a uniform charge background. Zbl 0121.22603
Baxter, R. J.
1963
Some remarks on a generalization of the superintegrable chiral Potts model. Zbl 1183.82009
Baxter, R. J.
2009
The six and eight-vertex models revisited. Zbl 1142.82325
Baxter, R. J.
2004
Proof of the determinantal form of the spontaneous magnetization of the superintegrable chiral Potts model. Zbl 1215.82006
Baxter, R. J.
2010
Algebraic reduction of the Ising model. Zbl 1151.82313
Baxter, R. J.
2008
Some hyperelliptic function identities that occur in the chiral Potts model. Zbl 0941.33003
Baxter, R. J.
1998
Corner transfer matrices of the chiral Potts model. II: The triangular lattice. Zbl 0945.82518
Baxter, R. J.
1993
The $$\tau_{2}$$ model and parafermions. Zbl 1304.82011
Baxter, R. J.
2014
Onsager and Kaufman’s calculation of the spontaneous magnetization of the Ising model. II. Zbl 1257.82013
Baxter, R. J.
2012
The Riemann surface of the chiral Potts model free energy function. Zbl 1035.82008
Baxter, R. J.
2003
A rapidity-independent parameter in the star-triangle relation. Zbl 1162.81383
Baxter, R. J.
2002
A critical Ising model on the labyrinth. Zbl 1264.82017
Baake, Michael; Grimm, Uwe; Baxter, Rodney J.
1996
Chiral Potts model: Corner transfer matrices and parametrizations. Zbl 0799.60098
Baxter, R. J.
1993
Star-triangle relation for a three-dimensional model. Zbl 0876.17032
Bazhanov, V. V.; Baxter, R. J.
1993
Hamiltonian limit of the $$3$$D Zamolodchikov model. Zbl 1086.82521
Baxter, R. J.; Quispel, G. R. W.
1990
Ramanujan’s identities in statistical mechanics. Zbl 0654.10014
Baxter, R. J.
1988
Lattice gas generalization of the hard hexagon model. II: The local densities as elliptic functions. Zbl 0638.10008
Andrews, George E.; Baxter, R. J.
1986
A pictorial study of an invariant torus in phase space of four dimensions. Zbl 0318.34056
Baxter, R.; Eiserike, H.; Stokes, A.
1972
The bulk, surface and corner free energies of the square lattice Ising model. Zbl 1357.82008
Baxter, R. J.
2017
Equivalence of the two results for the free energy of the chiral Potts model. Zbl 0991.82007
Baxter, R. J.
2000
Elliptic parametrization of the three-state chiral Potts model. Zbl 0859.60095
Baxter, R. J.
1993
Partition function of a three-dimensional solvable model. Zbl 0776.60124
Bazhanov, V. V.; Baxter, R. J.
1993
Some academic and personal reminiscences of Rodney James Baxter. Zbl 1321.82006
Baxter, R. J.
2015
Corner transfer matrices in statistical mechanics. Zbl 1189.82020
Baxter, R. J.
2007
Two-layer Zamolodchikov model. Zbl 1253.82022
Baxter, Rodney J.; Bazhanov, Vladimir V.
1999
Interfacial tension of the chiral Potts model. Zbl 1042.82526
O’Rourke, M. J.; Baxter, R. J.
1996
Solvable models in statistical mechanics, from Onsager onward. Zbl 1080.82527
Baxter, R. J.
1995
Scratchpad explorations for elliptic theta functions. Zbl 0729.33014
Andrews, George E.; Baxter, R. J.
1990
The bulk, surface and corner free energies of the square lattice Ising model. Zbl 1357.82008
Baxter, R. J.
2017
Some academic and personal reminiscences of Rodney James Baxter. Zbl 1321.82006
Baxter, R. J.
2015
The $$\tau_{2}$$ model and parafermions. Zbl 1304.82011
Baxter, R. J.
2014
Onsager and Kaufman’s calculation of the spontaneous magnetization of the Ising model. II. Zbl 1257.82013
Baxter, R. J.
2012
Onsager and Kaufman’s calculation of the spontaneous magnetization of the Ising model. Zbl 1252.82024
Baxter, R. J.
2011
Spontaneous magnetization of the superintegrable chiral Potts model: calculation of the determinant $$D_{PQ}$$. Zbl 1194.82012
Baxter, R. J.
2010
Proof of the determinantal form of the spontaneous magnetization of the superintegrable chiral Potts model. Zbl 1215.82006
Baxter, R. J.
2010
Some remarks on a generalization of the superintegrable chiral Potts model. Zbl 1183.82009
Baxter, R. J.
2009
A conjecture for the superintegrable chiral Potts model. Zbl 1151.82314
Baxter, R. J.
2008
Algebraic reduction of the Ising model. Zbl 1151.82313
Baxter, R. J.
2008
Exactly solved models in statistical mechanics. Reprint of the 1989 ed. Zbl 1201.60091
Baxter, Rodney J.
2007
Corner transfer matrices in statistical mechanics. Zbl 1189.82020
Baxter, R. J.
2007
The order parameter of the chiral Potts model. Zbl 1142.82004
Baxter, R. J.
2005
Transfer matrix functional relations for the generalized $$\tau_2(t_q)$$ model. Zbl 1206.82013
Baxter, R. J.
2004
The six and eight-vertex models revisited. Zbl 1142.82325
Baxter, R. J.
2004
The “inversion relation” method for obtaining the free energy of the chiral Potts model. Zbl 1038.82010
Baxter, R. J.
2003
The Riemann surface of the chiral Potts model free energy function. Zbl 1035.82008
Baxter, R. J.
2003
Completeness of the Bethe ansatz for the six- and eight-vertex models. Zbl 1067.82014
Baxter, R. J.
2002
A rapidity-independent parameter in the star-triangle relation. Zbl 1162.81383
Baxter, R. J.
2002
Dichromatic polynomials and Potts models summed over rooted maps. Zbl 0983.05041
Baxter, R. J.
2001
Equivalence of the two results for the free energy of the chiral Potts model. Zbl 0991.82007
Baxter, R. J.
2000
Planar lattice gases with nearest-neighbor exclusion. Zbl 0933.05029
Baxter, R. J.
1999
Two-layer Zamolodchikov model. Zbl 1253.82022
Baxter, Rodney J.; Bazhanov, Vladimir V.
1999
Functional relations for the order parameters of the chiral Potts model. Zbl 0922.60092
Baxter, R. J.
1998
Some hyperelliptic function identities that occur in the chiral Potts model. Zbl 0941.33003
Baxter, R. J.
1998
Star-triangle and star-star relations in statistical mechanics. Zbl 1229.82061
Baxter, R. J.
1997
A critical Ising model on the labyrinth. Zbl 1264.82017
Baake, Michael; Grimm, Uwe; Baxter, Rodney J.
1996
Interfacial tension of the chiral Potts model. Zbl 1042.82526
O’Rourke, M. J.; Baxter, R. J.
1996
Exact solution and interfacial tension of the six-vertex model with anti- periodic boundary conditions. Zbl 0827.60096
Batchelor, M. T.; Baxter, R. J.; O’Rourke, M. J.; Yung, C. M.
1995
Solvable models in statistical mechanics, from Onsager onward. Zbl 1080.82527
Baxter, R. J.
1995
Interfacial tension of the chiral Potts model. Zbl 0844.60099
Baxter, R. J.
1994
Star-triangle relation for a three-dimensional model. Zbl 0935.82509
Bazhanov, V. V.; Baxter, R. J.
1993
Chiral Potts model with skewed boundary conditions. Zbl 1102.82302
Baxter, R. J.
1993
Corner transfer matrices of the chiral Potts model. II: The triangular lattice. Zbl 0945.82518
Baxter, R. J.
1993
Chiral Potts model: Corner transfer matrices and parametrizations. Zbl 0799.60098
Baxter, R. J.
1993
Star-triangle relation for a three-dimensional model. Zbl 0876.17032
Bazhanov, V. V.; Baxter, R. J.
1993
Elliptic parametrization of the three-state chiral Potts model. Zbl 0859.60095
Baxter, R. J.
1993
Partition function of a three-dimensional solvable model. Zbl 0776.60124
Bazhanov, V. V.; Baxter, R. J.
1993
New solvable lattice models in three dimensions. Zbl 0876.17031
Bazhanov, V. V.; Baxter, R. J.
1992
Hyperelliptic function parametrization for the chiral Potts model. Zbl 0778.14015
Baxter, R. J.
1991
Hamiltonian limit of the $$3$$D Zamolodchikov model. Zbl 1086.82521
Baxter, R. J.; Quispel, G. R. W.
1990
Scratchpad explorations for elliptic theta functions. Zbl 0729.33014
Andrews, George E.; Baxter, R. J.
1990
Exactly solved models in statistical mechanics. Paperback ed. Zbl 0723.60120
Baxter, Rodney J.
1989
Solving models in statistical mechanics. Zbl 0825.58051
Baxter, R. J.
1989
A motivated proof of the Rogers-Ramanujan identities. Zbl 0681.10009
Andrews, George E.; Baxter, R. J.
1989
Free energy of the solvable chiral Potts model. Zbl 1084.82530
Baxter, R. J.
1988
Series expansion of the percolation probability for the directed square lattice. Zbl 0653.60109
Baxter, R. J.; Guttmann, A. J.
1988
Ramanujan’s identities in statistical mechanics. Zbl 0654.10014
Baxter, R. J.
1988
Lattice gas generalization of the hard hexagon model. III: $$q$$-trinomial coefficients. Zbl 0638.10009
Andrews, G. E.; Baxter, R. J.
1987
Partitions with prescribed hook differences. Zbl 0643.05006
Andrews, George E.; Baxter, R. J.; Bressoud, D. M.; Burge, William H.; Forrester, P. J.; Viennot, G.
1987
Chromatic polynomials of large triangular lattices. Zbl 0625.05023
Baxter, R. J.
1987
A class of interaction-round-a-face models and its equivalence with an ice-type model. Zbl 0962.82507
Owczarek, A. L.; Baxter, R. J.
1987
The Yang-Baxter equations and the Zamolodchikov model. Zbl 0603.58051
Baxter, R. J.
1986
Lattice gas generalization of the hard hexagon model. I: Star-triangle relation and local densities. Zbl 0638.10007
Baxter, R. J.; Andrews, George E.
1986
Lattice gas generalization of the hard hexagon model. II: The local densities as elliptic functions. Zbl 0638.10008
Andrews, George E.; Baxter, R. J.
1986
Further exact solutions of the eight-vertex SOS model and generalizations of the Rogers-Ramanujan identities. Zbl 0625.10010
Forrester, P. J.; Baxter, R. J.
1985
Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities. Zbl 0589.60093
Andrews, George E.; Baxter, R. J.; Forrester, P. J.
1984
Exactly solved models in statistical mechanics. Zbl 0538.60093
Baxter, Rodney J.
1982
Rogers-Ramanujan identities in the hard hexagon model. Zbl 0511.05004
Baxter, R. J.
1981
Equivalence of the Potts model or Whitney polynomial with an ice-type model. Zbl 0321.05140
Baxter, R. J.; Kelland, S. B.; Wu, F. Y.
1976
Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. II: Equivalence to a generalized ice-type lattice model. Zbl 1092.82513
Baxter, Rodney
1973
Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. I: Some fundamental eigenvectors. Zbl 1092.82511
Baxter, Rodney
1973
Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. III: Eigenvectors of the transfer matrix and Hamiltonian. Zbl 1092.82512
Baxter, Rodney
1973
Partition function of the eight-vertex lattice model. Zbl 0236.60070
Baxter, Rodney J.
1972
A pictorial study of an invariant torus in phase space of four dimensions. Zbl 0318.34056
Baxter, R.; Eiserike, H.; Stokes, A.
1972
Three-colorings of the square lattice: A hard squares model. Zbl 0211.26904
Baxter, R. J.
1970
Statistical mechanics of a one-dimensional Coulomb system with a uniform charge background. Zbl 0121.22603
Baxter, R. J.
1963
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#### Cited by 1,959 Authors

 36 Baxter, Rodney J. 36 Xue, Kang 31 Yang, Wenli 30 Kuniba, Atsuo 28 Bazhanov, Vladimir V. 28 Shi, Kangjie 24 Okado, Masato 23 Pearce, Paul A. 23 Wang, Gangcheng 21 Lukyanov, Sergei L. 21 Sun, Chunfang 20 Cao, Junpeng 20 Jimbo, Michio 19 Cohen, Arthur I. 18 Derkachov, Sergey É 18 Jacobsen, Jesper Lykke 18 Miwa, Tetsuji 18 Mukhamedov, Farruh Maksutovich 18 Rozikov, Utkir A. 17 Lima Santos, A. 16 Galleas, Wellington 16 Martins, Márcio José 16 Zhang, Yaozhong 15 Gould, Mark D. 15 Hao, Kun 15 Martin, Paul Purdon 15 Ragoucy, Eric 15 Wang, Yupeng 15 Warnaar, S. Ole 14 Hou, Boyu 14 Kauffman, Louis Hirsch 14 Motegi, Kohei 14 Saleur, Hubert 13 Batchelor, Murray T. 13 Hu, Taotao 13 McCoy, Barry M. 13 Nepomechie, Rafael I. 13 Reshetikhin, Nikolai Yu. 12 Berkovich, Alexander 11 Crampé, Nicolas 11 Links, Jon Robert 11 Mangazeev, Vladimir V. 11 Salas, Jesús 11 Sergeev, Sergeĭ Mikhaĭlovich 11 Terras, Véronique 10 Delfino, Gesualdo 10 Duminil-Copin, Hugo 10 Fan, Heng 10 Frappat, Luc 10 Ge, Molin 10 Jurčišin, Marian 10 Jurcisinová, E. 10 Li, Guangliang 10 Maillet, Jean-Michel 10 Pronko, Andrei G. 10 Sokal, Alan D. 10 Spiridonov, Vyacheslav Pavlovich 10 Zhou, Chengcheng 10 Zotov, Andrei V. 9 Andrews, George Eyre 9 Avan, Jean 9 Belitsky, Andrei V. 9 Borodin, Alexei 9 Di Francesco, Philippe 9 Ding, Jiu 9 Kulish, Petr Petrovich 9 Mastropietro, Vieri 9 Nienhuis, Bernard 9 Zamolodchikov, Aleksandr Borisovich 8 Bousquet-Mélou, Mireille 8 Deguchi, Tetsuo 8 Du, Guijiao 8 Foda, Omar 8 Frahm, Holger 8 Gepner, Doron R. 8 Kashaev, Rinat M. 8 Mathieu, Pierre 8 Sklyanin, Evgeny K. 8 Stroganov, Yu. G. 8 Takagi, Taichiro 8 Tracy, Craig Arnold 7 Behrend, Roger E. 7 Chang, Shu-Chiuan 7 Colomo, Filippo 7 de Gier, Jan 7 Feĭgin, Boris L’vovich 7 Klümper, Andreas 7 Kojima, Takeo 7 Maillard, Jean-Marie 7 Niccoli, Giuliano 7 Ribeiro, G. A. P. 7 Roan, Shishyr 7 Scrimshaw, Travis 7 Shrock, Robert E. 7 Tsuboi, Zengo 7 Wadati, Miki 7 Wheeler, Michael 7 Zabrodin, Anton V. 6 Aggarwal, Amol 6 Ananikian, N. S. ...and 1,859 more Authors
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#### Cited in 219 Serials

 330 Nuclear Physics. B 178 Journal of Statistical Physics 133 Communications in Mathematical Physics 93 Journal of Mathematical Physics 74 Physics Letters. A 65 Theoretical and Mathematical Physics 56 Letters in Mathematical Physics 48 Journal of High Energy Physics 42 Physica A 41 Journal of Statistical Mechanics: Theory and Experiment 38 Journal of Physics A: Mathematical and Theoretical 29 Annals of Physics 28 International Journal of Modern Physics B 22 Physical Review Letters 21 International Journal of Modern Physics A 21 Quantum Information Processing 18 Discrete Mathematics 18 International Journal of Theoretical Physics 18 Journal of Combinatorial Theory. Series A 17 Advances in Mathematics 17 Physica D 16 Journal of Mathematical Sciences (New York) 14 Journal of Algebra 13 Reports on Mathematical Physics 13 Reviews in Mathematical Physics 13 Annals of Combinatorics 12 Physics Letters. B 12 Journal of Geometry and Physics 12 Advances in Applied Mathematics 12 The Ramanujan Journal 11 International Journal of Quantum Information 10 Probability Theory and Related Fields 10 Nuclear Physics, B, Proceedings Supplements 10 Annales Henri Poincaré 10 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 9 Duke Mathematical Journal 9 Publications of the Research Institute for Mathematical Sciences, Kyoto University 8 Journal of Mathematical Analysis and Applications 8 Theoretical Computer Science 8 Journal of Algebraic Combinatorics 7 Chaos, Solitons and Fractals 7 The Annals of Probability 7 Journal of Soviet Mathematics 7 European Journal of Combinatorics 6 Discrete Applied Mathematics 6 Inventiones Mathematicae 6 Transactions of the American Mathematical Society 6 Journal of Knot Theory and its Ramifications 6 Mathematical Physics, Analysis and Geometry 6 Axioms 5 Modern Physics Letters A 5 Physics Reports 5 Applied Mathematics Letters 5 Selecta Mathematica. New Series 5 International Journal of Modern Physics C 4 Bulletin of the Australian Mathematical Society 4 Computer Physics Communications 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Functional Analysis and its Applications 4 Journal of Computational and Applied Mathematics 4 Constructive Approximation 4 Random Structures & Algorithms 4 Linear Algebra and its Applications 4 Doklady Mathematics 4 Annalen der Physik. 8th Series 4 Journal of Nonlinear Mathematical Physics 3 Modern Physics Letters B 3 Communications in Algebra 3 Computers & Mathematics with Applications 3 Mathematical Notes 3 The Mathematical Intelligencer 3 Journal of Number Theory 3 Journal of Pure and Applied Algebra 3 Nagoya Mathematical Journal 3 Studies in Applied Mathematics 3 Journal of the American Mathematical Society 3 The Annals of Applied Probability 3 Bulletin of the American Mathematical Society. New Series 3 Indagationes Mathematicae. New Series 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Algebras and Representation Theory 3 International Journal of Geometric Methods in Modern Physics 3 Advances in Mathematical Physics 3 Probability Surveys 3 Forum of Mathematics, Sigma 2 Communications on Pure and Applied Mathematics 2 Israel Journal of Mathematics 2 Journal of Computational Physics 2 Journal of Mathematical Biology 2 Reviews of Modern Physics 2 Mathematics of Computation 2 Journal of Approximation Theory 2 Journal of Combinatorial Theory. Series B 2 Memoirs of the American Mathematical Society 2 Proceedings of the London Mathematical Society. Third Series 2 Journal of Symbolic Computation 2 Information and Computation 2 Mathematical and Computer Modelling 2 Experimental Mathematics 2 Applied Categorical Structures ...and 119 more Serials
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#### Cited in 59 Fields

 1,160 Statistical mechanics, structure of matter (82-XX) 720 Quantum theory (81-XX) 294 Nonassociative rings and algebras (17-XX) 251 Combinatorics (05-XX) 195 Associative rings and algebras (16-XX) 142 Probability theory and stochastic processes (60-XX) 123 Dynamical systems and ergodic theory (37-XX) 102 Special functions (33-XX) 86 Partial differential equations (35-XX) 85 Number theory (11-XX) 62 Manifolds and cell complexes (57-XX) 58 Group theory and generalizations (20-XX) 46 Algebraic geometry (14-XX) 44 Linear and multilinear algebra; matrix theory (15-XX) 39 Difference and functional equations (39-XX) 39 Computer science (68-XX) 37 Functional analysis (46-XX) 30 Topological groups, Lie groups (22-XX) 30 Numerical analysis (65-XX) 27 Global analysis, analysis on manifolds (58-XX) 25 Ordinary differential equations (34-XX) 25 Relativity and gravitational theory (83-XX) 20 Mechanics of particles and systems (70-XX) 16 Operator theory (47-XX) 15 History and biography (01-XX) 15 Biology and other natural sciences (92-XX) 14 Category theory; homological algebra (18-XX) 14 Differential geometry (53-XX) 13 Information and communication theory, circuits (94-XX) 11 Convex and discrete geometry (52-XX) 10 Functions of a complex variable (30-XX) 10 Several complex variables and analytic spaces (32-XX) 10 Operations research, mathematical programming (90-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Statistics (62-XX) 6 Commutative algebra (13-XX) 6 Geometry (51-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Fluid mechanics (76-XX) 4 Optics, electromagnetic theory (78-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Field theory and polynomials (12-XX) 3 $$K$$-theory (19-XX) 3 Measure and integration (28-XX) 3 Approximations and expansions (41-XX) 3 Integral equations (45-XX) 3 Algebraic topology (55-XX) 2 General and overarching topics; collections (00-XX) 2 Mathematical logic and foundations (03-XX) 2 Real functions (26-XX) 2 Sequences, series, summability (40-XX) 2 Integral transforms, operational calculus (44-XX) 2 General topology (54-XX) 1 General algebraic systems (08-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of deformable solids (74-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX)

#### Wikidata Timeline

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