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Atsuo Kuniba

Atsuo Kuniba

D-Index & Metrics

Mathematics

D-Index
46
Citations
6793
World Ranking
1392
National Ranking
19

Overview

Atsuo Kuniba is affiliated with the University of Tokyo in Japan. Their research spans mathematics and physics, with a significant focus on mathematical physics, geometry, algebra, and related fields. The scientist's work integrates algebraic structures with combinatorial models and nonlinear dynamics, reflecting a broad interdisciplinary approach in their studies.

The main fields of study covered by Kuniba include:

  • Mathematics
  • Physics and Astronomy

Within these broad fields, the scientist has contributed extensively to several subfields, such as:

  • Geometry and Topology
  • Mathematical Physics
  • Algebra and Number Theory
  • Statistical and Nonlinear Physics
  • Discrete Mathematics and Combinatorics

Kuniba's research topics encompass:

  • Algebraic structures and combinatorial models
  • Advanced Topics in Algebra
  • Advanced Algebra and Geometry
  • Nonlinear Waves and Solitons
  • Advanced Combinatorial Mathematics
  • Matrix Theory and Algorithms
  • Quantum many-body systems

The scientist has published papers in a variety of venues, with frequent contributions to:

  • arXiv (Cornell University)
  • Journal of Physics A Mathematical and Theoretical
  • Communications in Mathematical Physics
  • International Mathematics Research Notices
  • Progress of Theoretical and Experimental Physics

Notable recent publications by Atsuo Kuniba include:

  • "Generalized hydrodynamics in box-ball system," 2020, Journal of Physics A Mathematical and Theoretical
  • "New Solutions to the Tetrahedron Equation Associated with Quantized Six-Vertex Models," 2023, Communications in Mathematical Physics
  • "A remark on renormalization group theoretical perturbation in a class of ordinary differential equations," 2020, Progress of Theoretical and Experimental Physics

The scientist has collaborated frequently with several colleagues, including:

  • Rei Inoue
  • Yuji Terashima
  • Junya Yagi
  • Grégoire Misguich
  • Vincent Pasquier

In terms of book publications, Kuniba has authored "Quantum Groups in Three-Dimensional Integrability," published by Springer Nature in 2022.

Best Publications

  • FUNCTIONAL RELATIONS IN SOLVABLE LATTICE MODELS I: FUNCTIONAL RELATIONS AND REPRESENTATION THEORY

    Atsuo Kuniba;Tomoki Nakanishi;Junji Suzuki

  • Exactly solvable SOS models: local height probabilities and theta function identities

    E. Date;M. Jimbo;A. Kuniba;T. Miwa

  • T-systems and Y-systems in integrable systems*

    Atsuo Kuniba;Tomoki Nakanishi;Junji Suzuki

  • Remarks on fermionic formula

    G. Hatayama;Y. Yamada;M. Okado;T. Takagi

  • Paths, crystals and fermionic formulae

    Goro Hatayama;Atsuo Kuniba;Masato Okado;Taichiro Takagi

  • The AM(1) automata related to crystals of symmetric tensors

    G. Hatayama;Kazuhiro Hikami;R. Inoue;A. Kuniba

  • Exactly Solvable SOS Models II: Proof of the star-triangle relation and combinatorial identities

    E. Date;M. Jimbo;A. Kuniba;T. Miwa

  • Functional Relations in Solvable Lattice Models II

    Atsuo Kuniba;Tomoki Nakanishi;Junji Suzuki

  • The A n /(1) face models

    M. Jimbo;A. Kuniba;T. Miwa;M. Okado

  • The A^{(1)}_M automata related to crystals of symmetric tensors

    Goro Hatayama;Kazuhiro Hikami;Rei Inoue;Atsuo Kuniba

  • Analytic Bethe ansatz for fundamental representations of Yangians

    Atsuo Kuniba;Junji Suzuki

  • Spectra in conformal field theories from the Rogers dilogarithm

    Atsuo Kuniba;Tomoki Nakanishi

  • Spectrum of a multi-species asymmetric simple exclusion process on a ring

    Chikashi Arita;Atsuo Kuniba;Kazumitsu Sakai;Tsuyoshi Sawabe

  • One-dimensional configuration sums in vertex models and affine Lie algebra characters

    E. Date;M. Jimbo;A. Kuniba;T. Miwa

  • Characters in conformal field theories from thermodynamic Bethe ansatz

    Atsuo Kuniba;Tomoki Nakanishi;Junji Suzuki

  • Crystal interpretation of Kerov–Kirillov–Reshetikhin bijection

    Atsuo Kuniba;Masato Okado;Reiho Sakamoto;Taichiro Takagi

  • Integrable structure of box–ball systems: crystal, Bethe ansatz, ultradiscretization and tropical geometry

    Rei Inoue;Atsuo Kuniba;Taichiro Takagi

  • Quantum Jacobi-Trudi and Giambelli Formulae for $U_q(B_r^{(1)})$ from Analytic Bethe Ansatz

    Atsuo Kuniba;Yasuhiro Ohta;Junji Suzuki

  • Spectrum in multi-species asymmetric simple exclusion process on a ring

    Chikashi Arita;Atsuo Kuniba;Kazumitsu Sakai;Tsuyoshi Sawabe

  • Scattering rules in soliton cellular automata associated with crystal bases

    G. Hatayama;A. Kuniba;M. Okado;T. Takagi

  • Solutions of the reflection equation for face and vertex models associated with $A_n^{(1)},B_n^{(1)},C_n^{(1)},D_n^{(1)}$ and $A_n^{(2)}$

    M T Batchelor;V Fridkin;A Kuniba;Y K Zhou

  • FUNCTIONAL RELATIONS IN SOLVABLE LATTICE MODELS II: APPLICATIONS

    Atsuo Kuniba;Tomoki Nakanishi;Junji Suzuki

  • Character formulae of sl̂n-modules and inhomogeneous paths

    Goro Hatayama;Anatol N. Kirillov;Anatol N. Kirillov;Atsuo Kuniba;Masato Okado

Frequent Co-Authors

Masato Okado
Masato Okado Osaka Metropolitan University
Michio Jimbo
Michio Jimbo Rikkyo University
Osamu Iyama
Osamu Iyama University of Tokyo
Bernhard Keller
Bernhard Keller Université Paris Cité
Murray T. Batchelor
Murray T. Batchelor Australian National University
Tetsuji Miwa
Tetsuji Miwa Kyoto University
Ryogo Hirota
Ryogo Hirota Waseda University
Masahito Yamazaki
Masahito Yamazaki Kavli Institute for the Physics and Mathematics of the Universe
Kazuhiro Hikami
Kazuhiro Hikami Kyushu University

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