Identifiers
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name variant
Atsuo Kuniba
0.60 · backfill
Papers (71)
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Randomized box-ball systems, limit shape of rigged configurations and Thermodynamic Bethe ansatz
math-ph · 2018 · author #1
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Matrix product solutions to the $G_2$ reflection equation
math-ph · 2018 · author #1
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Tetrahedron Equation and Quantum $R$ Matrices for $q$-Oscillator Representations Mixing Particles and Holes
nlin.SI · 2018 · author #1
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Matrix product solutions to the reflection equation from three dimensional integrability
math-ph · 2018 · author #1
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Remarks on $A^{(1)}_n$ face weights
math-ph · 2017 · author #1
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Density and current profiles in $U_q(A^{(1)}_2)$ zero range process
math-ph · 2017 · author #1
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Integrable Structure of Multispecies Zero Range Process
math-ph · 2017 · author #1
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A $q$-boson representation of Zamolodchikov-Faddeev algebra for stochastic $R$ matrix of $U_q(A^{(1)}_n)$
math-ph · 2016 · author #1
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Matrix product formula for $U_q(A^{(1)}_2)$-zero range process
math.QA · 2016 · author #1
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Stochastic $R$ matrix for $U_q(A^{(1)}_n)$
math.QA · 2016 · author #1
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Multispecies totally asymmetric zero range process: II. Hat relation and tetrahedron equation
math-ph · 2016 · author #1
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Inhomogeneous generalization of multispecies totally asymmetric zero range process
math-ph · 2016 · author #1
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Multispecies totally asymmetric zero range process: I. Multiline process and combinatorial $R$
math-ph · 2015 · author #1
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Multispecies TASEP and the tetrahedron equation
nlin.SI · 2015 · author #1
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Combinatorial Yang-Baxter maps arising from tetrahedron equation
math.QA · 2015 · author #1
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Multispecies TASEP and combinatorial $R$
math-ph · 2015 · author #1
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Tetrahedron equation and generalized quantum groups
math.QA · 2015 · author #1
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A polynomial formula for the solution of 3D reflection equation
math-ph · 2014 · author #1
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Tetrahedron equation and quantum $R$ matrices for $q$-oscillator representations
math-ph · 2014 · author #1
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Tetrahedron Equation and Quantum $R$ Matrices for modular double of $U_q(D^{(2)}_{n+1}), U_q(A^{(2)}_{2n})$ and $U_q(C^{(1)}_{n})$
math-ph · 2014 · author #1
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Tetrahedron equation and quantum R matrices for $q$-oscillator representations of $U_q(A^{(2)}_{2n}), U_q(C^{(1)}_{n})$ and $U_q(D^{(2)}_{n+1})$
math-ph · 2013 · author #1
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Tetrahedron equation and quantum R matrices for infinite dimensional modules of U_q(A^{(1)}_1) and U_q(A^{(2)}_2)
math-ph · 2013 · author #1
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A Common Structure in PBW Bases of the Nilpotent Subalgebra of $U_q(\mathfrak{g})$ and Quantized Algebra of Functions
math.QA · 2013 · author #1
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A solution of the 3D reflection equation from quantized algebra of functions of type B
math-ph · 2012 · author #1
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Tetrahedron and 3D reflection equations from quantized algebra of functions
math-ph · 2012 · author #1
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Tetrahedron Equation and Quantum R Matrices for Spin Representations of B^{(1)}_n, D^{(1)}_n and D^{(2)}_{n+1}
math-ph · 2012 · author #1
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Integrable structure of box-ball systems: crystal, Bethe ansatz, ultradiscretization and tropical geometry
math-ph · 2011 · author #2
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Fermionic partition functions for a periodic soliton cellular automaton
nlin.SI · 2010 · author #1
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T-systems and Y-systems in integrable systems
hep-th · 2010 · author #1
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Periodicities of T and Y-systems, dilogarithm identities, and cluster algebras II: Types C_r, F_4, and G_2
math.QA · 2010 · author #4
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Periodicities of T and Y-systems, dilogarithm identities, and cluster algebras I: Type B_r
math.QA · 2010 · author #4
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Generalized energies and integrable D^{(1)}_n cellular automaton
math.QA · 2010 · author #1
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T-systems and Y-systems for quantum affinizations of quantum Kac-Moody algebras
math.QA · 2009 · author #1
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Bethe Ansatz, Inverse Scattering Transform and Tropical Riemann Theta Function in a Periodic Soliton Cellular Automaton for A^{(1)}_n
math.QA · 2009 · author #1
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Spectrum in multi-species asymmetric simple exclusion process on a ring
math-ph · 2009 · author #2
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Periodicities of T-systems and Y-systems
math.QA · 2008 · author #3
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Combinatorial Bethe ansatz and generalized periodic box-ball system
math.QA · 2007 · author #1
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Combinatorial Bethe ansatz and ultradiscrete Riemann theta function with rational characteristics
nlin.SI · 2006 · author #1
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Tau functions in combinatorial Bethe ansatz
math.QA · 2006 · author #1
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The Bethe ansatz in a periodic box-ball system and the ultradiscrete Riemann theta function
math.QA · 2006 · author #1
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Bethe ansatz and inverse scattering transform in a periodic box-ball system
math.QA · 2006 · author #1
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Crystal interpretation of Kerov-Kirillov-Reshetikhin bijection
math.QA · 2006 · author #1
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Periodic cellular automata and Bethe ansatz
math-ph · 2005 · author #1
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Bethe ansatz at q=0 and periodic box-ball systems
nlin.SI · 2005 · author #1
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Box-ball system with reflecting end
nlin.SI · 2004 · author #1
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A Quantization of Box-Ball Systems
nlin.SI · 2004 · author #2
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Tropical R and Tau Functions
math.QA · 2003 · author #1
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Geometric Crystal and Tropical R for D^(1)_n
math.QA · 2002 · author #1
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The canonical solutions of the Q-systems and the Kirillov-Reshetikhin conjecture
math.QA · 2001 · author #1
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Simple Algorithm for Factorized Dynamics of g_n-Automaton
nlin.CG · 2001 · author #2
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Combinatorial R matrices for a family of crystals : B^{(1)}_n, D^{(1)}_n, A^{(2)}_{2n} and D^{(2)}_{n+1} cases
math.QA · 2000 · author #2
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Bethe Equation at q=0, Moebius Inversion Formula, and Weight Multiplicities: II. X_n case
math.QA · 2000 · author #1
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Factorization of Combinatorial R matrices and Associated Cellular Automata
math.QA · 2000 · author #2
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The A^{(1)}_M automata related to crystals of symmetric tensors
math.QA · 1999 · author #4
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Combinatorial R matrices for a family of crystals : C^{(1)}_n and A^{(2)}_{2n-1} cases
math.QA · 1999 · author #2
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Bethe Equation at q=0, M\"obius Inversion Formula, and Weight Multiplicities: I. sl(2) case
math.QA · 1999 · author #1
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Soliton Cellular Automata Associated With Crystal Bases
solv-int · 1999 · author #2
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Finite Crystals and Paths
math.QA · 1999 · author #3
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Remarks on Fermionic Formula
math.QA · 1998 · author #2
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Character Formulae of $\hat{sl}_n$-Modules and Inhomogeneous Paths
math.QA · 1998 · author #3
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Skew Young diagram method in spectral decomposition of integrable lattice models II: Higher levels
q-alg · 1997 · author #2
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Solutions of a discretized Toda field equation for $D_{r}$ from Analytic Bethe Ansatz
hep-th · 1996 · author #2
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Skew Young diagram method in spectral decomposition of integrable lattice models
q-alg · 1996 · author #2
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Demazure Modules and Perfect Crystals
q-alg · 1996 · author #1
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Pfaffian and Determinant Solutions to A Discretized Toda Equation for $B_r, C_r$ and $D_r$
hep-th · 1995 · author #1
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Quantum Jacobi-Trudi and Giambelli Formulae for $U_q(B_r^{(1)})$ from Analytic Bethe Ansatz
hep-th · 1995 · author #1
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Functional Relations and Analytic Bethe Ansatz for Twisted Quantum Affine Algebras
hep-th · 1994 · author #1
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Analytic Bethe Ansatz for Fundamental Representations of Yangians
hep-th · 1994 · author #1
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Analytic Bethe Ansatz and $T$-system in $C^{(1)}_2$ vertex models
hep-th · 1993 · author #1
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Functional Relations in Solvable Lattice Models II
hep-th · 1993 · author #1
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Spectra in Conformal Field Theories from the Rogers Dilogarithm
hep-th · 1992 · author #1
Mentions
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1509.09018
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1506.04490
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1503.08536
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1411.7763
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1308.6473
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1302.6298
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0708.3287
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