# zbMATH — the first resource for mathematics

## Baker, Timothy H.

Compute Distance To:
 Author ID: baker.timothy-h Published as: Baker, T.; Baker, T. H.; Baker, Timothy H.
 Documents Indexed: 25 Publications since 1993

#### Co-Authors

 7 single-authored 12 Forrester, Peter J. 5 Jarvis, Peter D. 2 Yung, C. M. 1 McAnally, David S. 1 Pearce, Paul A.
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#### Serials

 6 Journal of Physics A: Mathematical and General 1 International Journal of Modern Physics B 1 Communications in Mathematical Physics 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Letters in Mathematical Physics 1 Nuclear Physics. B 1 Duke Mathematical Journal 1 Journal of Combinatorial Theory. Series A 1 Mathematische Nachrichten 1 Pacific Journal of Mathematics 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 IMRN. International Mathematics Research Notices 1 Methods and Applications of Analysis 1 Annals of Combinatorics
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#### Fields

 9 Combinatorics (05-XX) 9 Nonassociative rings and algebras (17-XX) 8 Special functions (33-XX) 8 Quantum theory (81-XX) 5 Statistical mechanics, structure of matter (82-XX) 2 Partial differential equations (35-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX)

#### Citations contained in zbMATH

19 Publications have been cited 183 times in 157 Documents Cited by Year
The Calogero-Sutherland model and generalized classical polynomials. Zbl 0903.33010
Baker, T. H.; Forrester, P. J.
1997
Nonsymmetric Jack polynomials and integral kernels. Zbl 0948.33012
Baker, T. H.; Forrester, P. J.
1998
The Calogero-Sutherland model and polynomials with prescribed symmetry. Zbl 0986.33500
Baker, T. H.; Forrester, P. J.
1997
Random matrix ensembles with an effective extensive external charge. Zbl 0912.15030
Baker, T. H.; Forrester, P. J.; Pearce, P. A.
1998
Finite-$$N$$ fluctuation formulas for random matrices. Zbl 0939.82020
Baker, T. H.; Forrester, P. J.
1997
A $$q$$-analogue of the type $$A$$ Dunkl operator and integral kernel. Zbl 0922.33012
Baker, T. H.; Forrester, P. J.
1997
An insertion scheme for $$C_n$$ crystals. Zbl 0974.05080
Baker, T. H.
2000
Transformation formulas for multivariable basic hypergeometric series. Zbl 0956.33013
Baker, T. H.; Forrester, P. J.
1999
Random walks and random fixed-point free involutions. Zbl 0999.82034
Baker, T. H.; Forrester, P. J.
2001
Zero actions and energy functions for perfect crystals. Zbl 0971.05111
Baker, Timothy H.
2000
Symmetric Jack polynomials from non-symmetric theory. Zbl 0937.33010
Baker, T. H.; Forrester, P. J.
1999
Generalizations of the $$q$$-Morris constant term identity. Zbl 0890.05006
Baker, T. H.; Forrester, P. J.
1998
Vertex operator realization of symplectic and orthogonal $$S$$-functions. Zbl 0895.05066
Baker, T. H.
1996
Isomorphisms of type $$A$$ affine Hecke algebras and multivariable orthogonal polynomials. Zbl 1006.33012
Baker, T. H.; Forrester, P. J.
2000
Multivariable Al-Salam & Carlitz polynomials associated with the type $$A\;q$$-Dunkl kernel. Zbl 0970.33012
Baker, T. H.; Forrester, P. J.
2000
Symmetric function products and plethysms and the boson-fermion correspondence. Zbl 0851.05096
Baker, T. H.
1995
Combinatorics of crystals for tensor and spinor representations of $$U_ q(B_ n)$$. Zbl 1189.17013
Baker, T. H.
2000
Symmetric functions, vertex operators and applications. Zbl 0903.05050
Baker, T. H.; Jarvis, P. D.; McAnally, D. S.; Yung, C. M.
1995
Quantum superspin chains. Zbl 0871.17026
Baker, T. H.; Jarvis, P. D.
1994
Random walks and random fixed-point free involutions. Zbl 0999.82034
Baker, T. H.; Forrester, P. J.
2001
An insertion scheme for $$C_n$$ crystals. Zbl 0974.05080
Baker, T. H.
2000
Zero actions and energy functions for perfect crystals. Zbl 0971.05111
Baker, Timothy H.
2000
Isomorphisms of type $$A$$ affine Hecke algebras and multivariable orthogonal polynomials. Zbl 1006.33012
Baker, T. H.; Forrester, P. J.
2000
Multivariable Al-Salam & Carlitz polynomials associated with the type $$A\;q$$-Dunkl kernel. Zbl 0970.33012
Baker, T. H.; Forrester, P. J.
2000
Combinatorics of crystals for tensor and spinor representations of $$U_ q(B_ n)$$. Zbl 1189.17013
Baker, T. H.
2000
Transformation formulas for multivariable basic hypergeometric series. Zbl 0956.33013
Baker, T. H.; Forrester, P. J.
1999
Symmetric Jack polynomials from non-symmetric theory. Zbl 0937.33010
Baker, T. H.; Forrester, P. J.
1999
Nonsymmetric Jack polynomials and integral kernels. Zbl 0948.33012
Baker, T. H.; Forrester, P. J.
1998
Random matrix ensembles with an effective extensive external charge. Zbl 0912.15030
Baker, T. H.; Forrester, P. J.; Pearce, P. A.
1998
Generalizations of the $$q$$-Morris constant term identity. Zbl 0890.05006
Baker, T. H.; Forrester, P. J.
1998
The Calogero-Sutherland model and generalized classical polynomials. Zbl 0903.33010
Baker, T. H.; Forrester, P. J.
1997
The Calogero-Sutherland model and polynomials with prescribed symmetry. Zbl 0986.33500
Baker, T. H.; Forrester, P. J.
1997
Finite-$$N$$ fluctuation formulas for random matrices. Zbl 0939.82020
Baker, T. H.; Forrester, P. J.
1997
A $$q$$-analogue of the type $$A$$ Dunkl operator and integral kernel. Zbl 0922.33012
Baker, T. H.; Forrester, P. J.
1997
Vertex operator realization of symplectic and orthogonal $$S$$-functions. Zbl 0895.05066
Baker, T. H.
1996
Symmetric function products and plethysms and the boson-fermion correspondence. Zbl 0851.05096
Baker, T. H.
1995
Symmetric functions, vertex operators and applications. Zbl 0903.05050
Baker, T. H.; Jarvis, P. D.; McAnally, D. S.; Yung, C. M.
1995
Quantum superspin chains. Zbl 0871.17026
Baker, T. H.; Jarvis, P. D.
1994
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#### Cited by 186 Authors

 18 Forrester, Peter J. 8 Desrosiers, Patrick 8 Dunkl, Charles F. 8 Rösler, Margit 8 Voit, Michael 7 Mejjaoli, Hatem 6 Edelman, Alan Stuart 6 Warnaar, S. Ole 5 Dumitriu, Ioana 4 Lapointe, Luc 4 Soltani, Fethi 3 Andraus, Sergio 3 Baker, Timothy H. 3 Lecouvey, Cédric 3 Liu, Dangzheng 3 Mathieu, Pierre 3 Rains, Eric M. 3 Schehr, Grégory 3 Scrimshaw, Travis 3 Ujino, Hideaki 2 Aristidou, Michael 2 Baratta, Wendy 2 Colmenarejo, Laura 2 Davidson, Mark Gregory 2 Frankel, Norman E. 2 Gamburd, Alexander 2 Jarvis, Peter D. 2 Jiang, Tiefeng 2 Károlyi, Gyula 2 Koev, Plamen 2 Langmann, Edwin 2 Lascoux, Alain 2 Luque, Jean-Gabriel 2 Majumdar, Satya N. 2 Marshall, Dan 2 Mezzadri, Francesco 2 Nagy, Zoltán Lóránt 2 Nishino, Akinori 2 Okado, Masato 2 Ólafsson, Gestur 2 Ol’shanskiĭ, Grigoriĭ Iosifovich 2 Salisbury, Ben 2 Soshnikov, Alexander B. 2 Wadati, Miki 2 Witte, Nicholas S. 2 Xie, Junshan 1 Agarwal, Sanaa 1 Albrecht, James T. 1 Assiotis, Theodoros 1 Aue, Alexander 1 Bahadur, Jainendra 1 Bailey, E. C. 1 Balasubramanian, Vijay 1 Balderrama, Cristina 1 Banerjee, Arjun 1 Banerjee, Pratyay 1 Bassler, Kevin E. 1 Basu-Mallick, Bireswar 1 Betea, Dan 1 Bhatnagar, Gaurav 1 Bogolyubov, Nikolaĭ Mikhaĭlovich 1 Borodin, Alexei 1 Botero, Alonso 1 Bufetov, Aleksandr Igorevich 1 Bump, Daniel 1 Cain, Alan J. 1 Chafaï, Djalil 1 Chalykh, Oleg A. 1 Chan, Cy P. 1 Chen, William Yong-Chuan 1 Coffey, Mark William 1 Conrey, John Brian 1 Deift, Percy A. 1 Demni, Nizar 1 Dhar, Abhishek 1 Dubbs, Alexander J. 1 Faifman, Dmitry 1 Fairon, Maxime 1 Fan, Xingya 1 Faraut, Jacques 1 Fauser, Bertfried 1 Fulman, Jason E. 1 Fyodorov, Yan V. 1 Gatica, Jessica 1 Gessel, Ira Martin 1 Ghosh, Sayantan 1 González, Camilo 1 Graczyk, Piotr 1 Gray, Robert D. 1 Hage, Nohra 1 Hallnäs, Martin A. 1 Hamel, Angèle M. 1 Harnad, John 1 Hatayama, Goro 1 Hazewinkel, Michiel 1 He, Jianxun 1 Hou, Baoyu 1 Huang, Fang 1 Isachenkov, Mikhail 1 Ito, Masahiko ...and 86 more Authors
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#### Cited in 75 Serials

 14 Journal of Mathematical Physics 9 Communications in Mathematical Physics 8 Nuclear Physics. B 4 Applicable Analysis 4 Journal of Approximation Theory 4 Random Matrices: Theory and Applications 3 Journal of Mathematical Analysis and Applications 3 Journal of Statistical Physics 3 Duke Mathematical Journal 3 Journal of Algebra 3 Journal of Combinatorial Theory. Series A 3 Journal of Functional Analysis 3 Transactions of the American Mathematical Society 3 European Journal of Combinatorics 3 Journal of Theoretical Probability 3 Journal of Algebraic Combinatorics 3 Integral Transforms and Special Functions 3 Séminaire Lotharingien de Combinatoire 3 Annals of Combinatorics 2 International Journal of Modern Physics B 2 Advances in Mathematics 2 The Annals of Probability 2 Compositio Mathematica 2 Journal of Computational and Applied Mathematics 2 Proceedings of the American Mathematical Society 2 Advances in Applied Mathematics 2 Constructive Approximation 2 Stochastic Processes and their Applications 2 Bernoulli 2 Transformation Groups 2 The Ramanujan Journal 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Journal of Physics A: Mathematical and Theoretical 2 Symmetry 1 Bulletin of the Australian Mathematical Society 1 Computers & Mathematics with Applications 1 Communications on Pure and Applied Mathematics 1 Nonlinearity 1 Chaos, Solitons and Fractals 1 Journal of Geometry and Physics 1 Acta Mathematica 1 The Annals of Statistics 1 Functional Analysis and its Applications 1 Journal of Number Theory 1 Journal of Statistical Planning and Inference 1 Mathematische Nachrichten 1 Mathematica Scandinavica 1 Monatshefte für Mathematik 1 Nagoya Mathematical Journal 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Studies in Applied Mathematics 1 Physica D 1 Journal of Symbolic Computation 1 Mathematical and Computer Modelling 1 International Journal of Algebra and Computation 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Bulletin of the American Mathematical Society. New Series 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Journal of Knot Theory and its Ramifications 1 Journal of Mathematical Sciences (New York) 1 Bulletin des Sciences Mathématiques 1 Discrete and Continuous Dynamical Systems 1 Representation Theory 1 Journal of Inequalities and Applications 1 Algebras and Representation Theory 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Acta Mathematica Sinica. English Series 1 Journal of High Energy Physics 1 Annales Henri Poincaré 1 Foundations of Computational Mathematics 1 Milan Journal of Mathematics 1 Journal of Function Spaces and Applications 1 Journal of Statistical Mechanics: Theory and Experiment 1 Japanese Journal of Mathematics. 3rd Series 1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD)
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#### Cited in 34 Fields

 64 Special functions (33-XX) 43 Probability theory and stochastic processes (60-XX) 41 Combinatorics (05-XX) 35 Quantum theory (81-XX) 32 Linear and multilinear algebra; matrix theory (15-XX) 25 Statistical mechanics, structure of matter (82-XX) 13 Nonassociative rings and algebras (17-XX) 11 Group theory and generalizations (20-XX) 11 Abstract harmonic analysis (43-XX) 10 Topological groups, Lie groups (22-XX) 10 Partial differential equations (35-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 9 Number theory (11-XX) 7 Functional analysis (46-XX) 6 Integral transforms, operational calculus (44-XX) 6 Statistics (62-XX) 6 Numerical analysis (65-XX) 5 Ordinary differential equations (34-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Operator theory (47-XX) 4 Associative rings and algebras (16-XX) 3 Algebraic geometry (14-XX) 3 Approximations and expansions (41-XX) 3 Differential geometry (53-XX) 3 Mechanics of particles and systems (70-XX) 2 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Manifolds and cell complexes (57-XX) 2 Computer science (68-XX) 2 Relativity and gravitational theory (83-XX) 1 Commutative algebra (13-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX)