Institution
Research Institute for Mathematical Sciences
About: Research Institute for Mathematical Sciences is a based out in . It is known for research contribution in the topics: Quantum gravity & Invariant (mathematics). The organization has 718 authors who have published 2390 publications receiving 63607 citations. The organization is also known as: RIMS.
Topics: Quantum gravity, Invariant (mathematics), Holomorphic function, Abelian group, Nonlinear system
Papers published on a yearly basis
Papers
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TL;DR: Aq-difference analogue of the universal enveloping algebra U(g) of a simple Lie algebra g is introduced in this article, and its structure and representations are studied in the simplest case g=sl(2).
Abstract: Aq-difference analogue of the universal enveloping algebra U(g) of a simple Lie algebra g is introduced. Its structure and representations are studied in the simplest case g=sl(2). It is then applied to determine the eigenvalues of the trigonometric solution of the Yang-Baxter equation related to sl(2) in an arbitrary finite-dimensional irreducible representation.
2,767 citations
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TL;DR: In this paper, Bilinear Equations for the (Modified) KP Hierarchies Appendix 2. Bilinearly Equations Related to the Spin Representations of Bca Appendix 4.
Abstract: Introduction §1. Fock Representation of gf(°°) §2. T Functions and the KP Hierarchy §3. Reduction to A[\" §4. Fermions with 2 Components §5. Algebras B^ and Co §6. Spin Representation of J&TO §7. Algebras D^ and £C §8. Reduction to Kac-Moody Lie Algebras §9. Time Evolutions with Singularities Other than k = 00 —The 2 Dimensional Toda Lattice— §10. Difference Equations —The Principal Chiral Field— Appendix 1. Bilinear Equations for the (Modified) KP Hierarchies Appendix 2. Bilinear Equations for the 2 Component Reduced KP Hierarchy Appendix 3. Bilinear Equations Related to the Spin Representations of Bca Appendix 4. Bilinear Equations Related to the Spin Representations of D^
1,475 citations
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TL;DR: In this article, a series of τ functions parametrized by integers are introduced and their ratios to the original τ function are then shown to be explicit rational expressions in terms of the coefficients of A(x).
1,083 citations
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TL;DR: A manifestly covariant and local canonical operator formalism of non-Abelian gauge theories is presented in this paper, which is applicable to Yang-Mills theories as well as to gravity.
Abstract: A manifestly covariant and local canonical operator formalism of non-Abelian gauge theories is presented in its full detail. This formalism, applicable to Yang-Mills theories as well as to gravity, not only provides us a transparent understanding in the scattering theoretical aspects, but also makes it possible to discuss other important problems directly related to the (Heisenberg) operators and the state vectors: As for the former, the physical S-matrix unitarity is proved quite generally on the basis of the representation of the algebra of the BRS charge, and asymptotic field analysis is explicitly performed for some examples. As for the latter, the problems of observables and the well-definedness of charge operators are discussed and clear results are obtained, where the locality and covariance of the formalism are indispensable. Observables are shown to be invariant under the BRS transformation as well as the unbroken global gauge groups. By analyzing the structure of “Maxwell” equations in YM theories, the converse of the Higgs theorem is found to hold. This turns out to lead to a remarkably simple criterion of quark confinement in QCD. The present formalism is found useful also for the U(1) problem and the charge universality proof in the Weinberg-Salam model. General theory of indefinite metric quantum fields is developed to some extent.
923 citations
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TL;DR: In this paper, the authors discuss the robust estimation of the variogram when the distribution is normal-like in the central region but heavier than normal in the tails, and show that using a fourth-root transformation with or without the use of M-estimation yields stable robust estimates.
Abstract: It is a matter of common experience that ore values often do not follow the normal (or lognormal) distributions assumed for them, but, instead, follow some other heavier-tailed distribution. In this paper we discuss the robust estimation of the variogram when the distribution is normal-like in the central region but heavier than normal in the tails. It is shown that the use of a fourth-root transformation with or without the use of M-estimation yields stable robust estimates of the variogram.
863 citations
Authors
Showing all 718 results
Name | H-index | Papers | Citations |
---|---|---|---|
Douglas M. Hawkins | 95 | 417 | 36326 |
Hirosi Ooguri | 84 | 237 | 32202 |
Bernd Sturmfels | 79 | 484 | 27024 |
Marc Yor | 71 | 570 | 30674 |
Wayne M. Getz | 66 | 330 | 19410 |
Michio Jimbo | 64 | 234 | 22767 |
Masaki Kashiwara | 61 | 282 | 16003 |
Tetsuji Miwa | 59 | 213 | 16786 |
Boris Feigin | 58 | 287 | 10536 |
Louis H. Kauffman | 55 | 524 | 15009 |
Peter J. Forrester | 49 | 420 | 13399 |
Taekyun Kim | 48 | 755 | 9838 |
John Gibbon | 46 | 194 | 9838 |
Tohru Ozawa | 46 | 300 | 6516 |
Ionel Michael Navon | 46 | 195 | 7097 |