Atsuo Kuniba

J-GLOBAL         Last updated: Nov 8, 2018 at 14:55
 
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Name
Atsuo Kuniba
Affiliation
The University of Tokyo

Research Areas

 
 

Academic & Professional Experience

 
Apr 1996
 - 
Mar 2010
Associate Professor, Graduate School of Arts and Sciences, University of Tokyo, Komaba
 
Mar 1994
 - 
Mar 1996
Associate Professor, College of Arts and Sciences, University of Tokyo Komaba,
 
Jun 1990
 - 
May 1992
Queen Elizabeth II Fellow, Australia National University
 
Jul 1989
 - 
Feb 1994
Research associate, Department of Mathematics, Kyushu University
 

Awards & Honors

 
Sep 2001
Integrable systems in statistical mechanics, Kubo Memorial Prize, Inoue Foundation of Science
 

Published Papers

 
Rei Inoue, Atsuo Kuniba, Taichiro Takagi
   Sep 2011
The box-ball system is an integrable cellular automaton on one dimensional
lattice. It arises either from quantum as well as classical integrable systems
by the procedures called crystallization and ultradiscretization, respectively.
The double or...
Atsuo Kuniba, Taichiro Takagi
J. Phys. A: Math. Theor. 44 (2011) 135204      Nov 2010
Fermionic formulas in combinatorial Bethe ansatz consist of sums of products
of q-binomial coefficients. There exist refinements without a sum that are
known to yield partition functions of box-ball systems with a prescribed
soliton content. In th...
Atsuo Kuniba, Tomoki Nakanishi, Junji Suzuki
J.Phys.A44:103001,2011      Oct 2010
The T and Y-systems are ubiquitous structures in classical and quantum
integrable systems. They are difference equations having a variety of aspects
related to commuting transfer matrices in solvable lattice models, q-characters
of Kirillov-Reshet...
Rei Inoue, Osamu Iyama, Bernhard Keller, Atsuo Kuniba, Tomoki Nakanishi
   Jan 2010
We prove the periodicities of the restricted T and Y-systems associated with
the quantum affine algebra of type C_r, F_4, and G_2 at any level. We also
prove the dilogarithm identities for these Y-systems at any level. Our proof is
based on the tr...
Rei Inoue, Osamu Iyama, Bernhard Keller, Atsuo Kuniba, Tomoki Nakanishi
   Jan 2010
We prove the periodicities of the restricted T and Y-systems associated with
the quantum affine algebra of type B_r at any level. We also prove the
dilogarithm identities for the Y-systems of type B_r at any level. Our proof is
based on the tropic...

Books etc

 
国場敦夫
朝倉書店   Jun 2011   ISBN:4254117353

Research Grants & Projects

 
Ministry of Education, Culture, Sports, Science and Technology: Grants-in-Aid for Scientific Research(基盤研究(C))
Project Year: 2007 - 2008    Investigator(s): Atsuo KUNIBA
Ministry of Education, Culture, Sports, Science and Technology: Grants-in-Aid for Scientific Research(基盤研究(C))
Project Year: 2006 - 2007    Investigator(s): Masato OKADO
During the period of research project, we mainly obtained the following results.1. [Affine geometric crystal]In collaboration with M. Kashiwara and T. Nakashima, we constructed geometric crystals associated to nonexceptional affine Lie algebras. W...
Ministry of Education, Culture, Sports, Science and Technology: Grants-in-Aid for Scientific Research(基盤研究(B))
Project Year: 2005 - 2008    Investigator(s): Yasuhiko YAMADA
Ministry of Education, Culture, Sports, Science and Technology: Grants-in-Aid for Scientific Research(基盤研究(A))
Project Year: 2004 - 2007    Investigator(s): Tetsuji TOKIHIRO
Among the systems of discrete equations, quantum mechanical lattice models and Cellular Automata (discrete dynamical systems which take finite number of states), there exist a class of systems named integrable systems in which exact solutions and/...
Ministry of Education, Culture, Sports, Science and Technology: Grants-in-Aid for Scientific Research(基盤研究(C))
Project Year: 2003 - 2005    Investigator(s): Atsuo KUNIBA
Significant progress has been made on the one dimensional soliton cellular automata associated with quantum groups and related topics.The results (1)-(6) obtained in the three years are explained herewith.(1) On D type tropical R, its bilinear for...