A. Kuniba

发表

Matrix product formula for Uq(A2(1))-zero range process

A. Kuniba, M. Okado, 2016, 1608.02779.

Factorization, reduction and embedding in integrable cellular automata

A. Kuniba, T. Takagi, A. Takenouchi, 2003, nlin/0310002.

Multispecies TASEP and combinatorial R

A. Kuniba, M. Okado, Shouya Maruyama, 2015, 1506.04490.

Temperley-Lieb lattice models arising from quantum groups

M. Batchelor, A. Kuniba, 1991 .

Bethe Equation at q=0, Moebius Inversion Formula, and Weight Multiplicities: II. X_n case

A. Kuniba, T. Nakanishi, 2000, math/0008047.

The Canonical Solutions of the Q-Systems¶ and the Kirillov–Reshetikhin Conjecture

A. Kuniba, T. Nakanishi, Z. Tsuboi, 2001, math/0105145.

Analytic Bethe ansatz for fundamental representations of Yangians

J. Suzuki, A. Kuniba, 1994, hep-th/9406180.

Analytic Bethe ansatz and T-system in C2(1) vertex models

A. Kuniba, 1993, hep-th/9312060.

Current correlations, Drude weights and large deviations in a box–ball system

G. Misguich, V. Pasquier, A. Kuniba, 2022, Journal of Physics A: Mathematical and Theoretical.

Soliton cellular automata associated with crystal bases

G. Hatayama, A. Kuniba, T. Takagi, 1999, solv-int/9907020.

Spectra in conformal field theories from the Rogers dilogarithm

A. Kuniba, T. Nakanishi, 1992, hep-th/9206034.

Tau functions in combinatorial Bethe ansatz

A. Kuniba, Yasuhiko Yamada, Reiho Sakamoto, 2006, math/0610505.

The Bethe ansatz in a periodic box–ball system and the ultradiscrete Riemann theta function

A. Kuniba, Reiho Sakamoto, 2006, math/0606208.

Crystal interpretation of Kerov–Kirillov–Reshetikhin bijection

A. Kuniba, M. Okado, T. Takagi, 2006, math/0601630.

Combinatorial R Matrices for a Family of Crystals: C n (1) and A 2n-1 (2) Cases

G. Hatayama, A. Kuniba, M. Okado, 2000 .

Character formulae of sl̂n-modules and inhomogeneous paths

G. Hatayama, A. Kirillov, A. Kuniba, 1998, math/9802085.

The Gordon-Generalization Hierarchy of Exactly Solvable IRF Models

M. Wadati, Y. Akutsu, A. Kuniba, 1986 .

Virasoro Algebra, von Neumann Algebra and Critical Eight-Vertex SOS Models

M. Wadati, Y. Akutsu, A. Kuniba, 1986 .

Inhomogeneous Eight-Vertex SOS Model and Solvable IRF Hierarchies

M. Wadati, Y. Akutsu, A. Kuniba, 1986 .

An exactly solvable 5-state IRF model

M. Wadati, Y. Akutsu, A. Kuniba, 1986 .

Exactly Solvable IRF Models. V. A Further New Hierarchy

M. Wadati, Y. Akutsu, A. Kuniba, 1986 .

Exactly Solvable IRF Models. IV. Generalized Rogers-Remanujan Identities and a Solvable Hierarchy

M. Wadati, Y. Akutsu, A. Kuniba, 1986 .

Exactly Solvable IRF Models. III. A New Hierarchy of Solvable Models

M. Wadati, Y. Akutsu, A. Kuniba, 1986 .

Exactly solvable IRF models. II: SN-generalizations

M. Wadati, Y. Akutsu, A. Kuniba, 1986 .

A new realization of the basic representation of An(1)

M. Jimbo, T. Miwa, E. Date, 1989 .

Paths, Maya Diagrams and representations of ŝl (r, C)

Michio Jimbo, Tetsuji Miwa, Masato Okado, 1989 .

Demazure Modules and Perfect Crystals

K. Misra, A. Kuniba, M. Okado, 1996, q-alg/9607011.

T-systems and Y-systems in integrable systems

Tomoki Nakanishi, Junji Suzuki, Atsuo Kuniba, 2010, 1010.1344.

TheAn/(1) face models

M. Jimbo, T. Miwa, A. Kuniba, 1988 .

Solutions of the reflection equation for face and vertex models associated with An(1), Bn(1), Cn(1), Dn(1) and An(2)

V. Fridkin, M. Batchelor, A. Kuniba, 1996, hep-th/9601051.

FUNCTIONAL RELATIONS IN SOLVABLE LATTICE MODELS II: APPLICATIONS

J. Suzuki, A. Kuniba, T. Nakanishi, 1993, hep-th/9310060.

Tropical R and Tau Functions

A. Kuniba, M. Okado, T. Takagi, 2003, math/0303088.

Solutions of a discretized Toda field equation for from analytic Bethe ansatz

A. Kuniba, Z. Tsuboi, 1996, hep-th/9608002.

Pfaffian and determinant solutions to a discretized Toda equation for , and

R. Hirota, Shuichi Nakamura, A. Kuniba, 1995, hep-th/9509039.

The A ( 1 ) M automata related to crystals of symmetric tensors

G. Hatayama, T. Tokihiro, K. Hikami, 1999 .

Quantum Jacobi-Trudi and Giambelli formulae for Uq(Br(1)) from the analytic Bethe ansatz

Y. Ohta, J. Suzuki, A. Kuniba, 1995, hep-th/9506167.

Rogers Dilogarithm in Integrable Systems

A. Kuniba, T. Nakanishi, 1992, hep-th/9210025.

Periodicities of T-systems and Y-systems, Dilogarithm Identities, and Cluster Algebras II : Types ${C}_r$, ${F}_4$, and ${G}_2$

B. Keller, Rei Inoue, A. Kuniba, 2010, 1001.1881.

PERIODICITIES OF T AND Y-SYSTEMS, DILOGARITHM IDENTITIES, AND CLUSTER ALGEBRAS I: TYPE Br

B. Keller, Rei Inoue, A. Kuniba, 2010, 1001.1880.

Periodicities of T-systems and Y-systems

J. Suzuki, Rei Inoue, A. Kuniba, 2008, Nagoya Mathematical Journal.

T-systems and Y-systems for quantum affinizations of quantum Kac-Moody algebras

J. Suzuki, A. Kuniba, T. Nakanishi, 2009, 0909.4618.

Difference L operators related to q-characters

J. Suzuki, A. Kuniba, M. Okado, 2001 .

Q A ] 2 0 Se p 20 01 Difference L operators related to q-characters

Y. Yamada, J. Suzuki, A. Kuniba, 2001 .

Functional relations and analytic Bethe ansatz for twisted quantum affine algebras

J. Suzuki, A. Kuniba, 1994, hep-th/9408135.

Characters in Conformal Field Theories from Thermodynamic Bethe Ansatz

J. Suzuki, A. Kuniba, T. Nakanishi, 1993 .

Paths, crystals and fermionic formulae

Masato Okado, Goro Hatayama, Zengo Tsuboi, 2001 .

A ] 1 5 Fe b 20 01 Paths , Crystals and Fermionic Formulae

G. Hatayama, A. Kuniba, M. Okado, 2001 .

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

Rei Inoue, A. Kuniba, T. Takagi, 2011, 1109.5349.

Fermionic partition functions for a periodic soliton cellular automaton

A. Kuniba, T. Takagi, 2010, 1011.6426.

Bethe Ansatz, Inverse Scattering Transform and Tropical Riemann Theta Function in a Periodic Soliton Cellular Automaton for A_n^{(1)}

A. Kuniba, T. Takagi, 2009, 0909.3759.

COMBINATORIAL BETHE ANSATZ AND GENERALIZED PERIODIC BOX-BALL SYSTEM

A. Kuniba, Reiho Sakamoto, 2007, 0708.3287.

Bethe ansatz and inverse scattering transform in a periodic box–ball system

A. Kuniba, T. Takagi, A. Takenouchi, 2006, math/0602481.

Bethe ansatz at q = 0 and periodic box–ball systems

A. Kuniba, A. Takenouchi, 2005, nlin/0509001.

Factorization of Combinatorial R Matrices and Associated Cellular Automata

G. Hatayama, A. Kuniba, T. Takagi, 2000, math/0003161.

Exactly Solvable IRF Models. I. A Three-State Model

M. Wadati, Y. Akutsu, A. Kuniba, 1986 .

Large Deviations and One-Sided Scaling Limit of Randomized Multicolor Box-Ball System

Hanbaek Lyu, A. Kuniba, 2018, Journal of Statistical Physics.

One-sided scaling limit of multicolor box-ball system

Hanbaek Lyu, A. Kuniba, 2018 .

Quantum spin chains from Onsager algebras and reflection K-matrices

V. Pasquier, A. Kuniba, 2019, Nuclear Physics B.

The Quantum Nonlinear Schrödinger Model; Conserved Quantities

M. Wadati, A. Kuniba, 1986 .

A remark on renormalization group theoretical perturbation in a class of ordinary differential equations

A. Kuniba, 2020, 2009.12996.

Spontaneous staggered polarisations of the cyclic solid-on-solid models

M. Jimbo, T. Miwa, E. Date, 1990 .

Thermodynamics of the Uq(Xr(1)) Bethe ansatz system with q a root of unity

A. Kuniba, 1993 .

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

Michio Jimbo, Tetsuji Miwa, Masato Okado, 1988 .

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

Michio Jimbo, Tetsuji Miwa, Masato Okado, 1987 .

Generalized hydrodynamics in box-ball system

G. Misguich, V. Pasquier, A. Kuniba, 2020, Journal of Physics A: Mathematical and Theoretical.

Ferro- and antiferro-magnetizations in RSOS models

J. Suzuki, A. Kuniba, T. Nakanishi, 1991 .

Skew Young Diagram Method in Spectral Decomposition of Integrable Lattice Models

A. Kirillov, A. Kuniba, T. Nakanishi, 1996, q-alg/9711009.

CONTINUED FRACTION TBA AND FUNCTIONAL RELATIONS IN XXZ MODEL AT ROOT OF UNITY

K. Sakai, J. Suzuki, A. Kuniba, 1998, math/9803056.

Tetrahedron equation and generalized quantum groups

A. Kuniba, M. Okado, S. Sergeev, 2015, 1503.08536.

Soliton Cellular Automata Associated With Finite Crystals

G. Hatayama, A. Kuniba, T. Takagi, 1999 .

The Quantum Nonlinear Schrödinger Model; Gelfand-Levitan Equation and Classical Soliton

M. Wadati, T. Konishi, A. Kuniba, 1985 .

Local state probabilities for solvable restricted solid-on-solid models:An,Dn,Dn(1), andAn(1)

A. Kuniba, T. Yajima, 1988 .

Reflection $\boldsymbol{K}$ matrices associated with an Onsager coideal of $\boldsymbol{U_p(A^{(1)}_{n-1})}, \boldsymbol{U_p(B^{(1)}_{n})}, $ $ \boldsymbol{U_p(D^{(1)}_{n})}$ and $\boldsymbol{U_p(D^{(2)}_{n+1})}$

A. Kuniba, M. Okado, Akihito Yoneyama, 2019, Journal of Physics A: Mathematical and Theoretical.

Reflection K matrices associated with an Onsager coideal of Up(An−1(1)),Up(Bn(1)),Up(Dn(1)) and Up(Dn+1(2))

A. Kuniba, M. Okado, Akihito Yoneyama, 2019, 1904.05653.

Matrix product solution to the reflection equation associated with a coideal subalgebra of Uq(An-1(1))\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidem

A. Kuniba, M. Okado, Akihito Yoneyama, 2019, Letters in Mathematical Physics.

Matrix product solution to the reflection equation associated with a coideal subalgebra of $$\varvec{U_q(A^{(1)}_{n-1})}$$Uq(An-1(1))

A. Kuniba, M. Okado, Akihito Yoneyama, 2018, Letters in Mathematical Physics.

Matrix product solutions to the reflection equation from three dimensional integrability

V. Pasquier, A. Kuniba, 2018, Journal of Physics A: Mathematical and Theoretical.

Exact solution of solid-on-solid models for twisted affine Lie algebras A2n(2) and A2n−1(2)

A. Kuniba, 1991 .

Quantum R matrix for G2 and a solvable 175-vertex model

A. Kuniba, 1990 .

A QUANTIZATION OF BOX-BALL SYSTEMS

Rei Inoue, A. Kuniba, M. Okado, 2004, nlin/0404047.

61 20 18 v 1 1 3 D ec 1 99 6 Paths , Demazure Crystals and Symmetric Functions

K. Misra, A. Kuniba, M. Okado, 2008 .

Paths, Demazure crystals, and symmetric functions

K. Misra, A. Kuniba, M. Okado, 1996, q-alg/9612018.

Paths, Maya Diagrams and representations of $\widehat{\mathfrak{sl}}(r, \mathrm{C})$

M. Jimbo, T. Miwa, E. Date, 1989 .

Masato Okado and Taichiro Takagi

G. Hatayama, A. Kuniba, M. Okado, 2008 .

Finite Crystals and Paths

G. Hatayama, A. Kuniba, M. Okado, 1999, math/9901082.

Characters of Demazure modules and solvable lattice models

K. Misra, A. Kuniba, M. Okado, 1997 .

Tetrahedron and 3D reflection equations from quantized algebra of functions

A. Kuniba, M. Okado, 2012, 1208.1586.

Multispecies TASEP and the tetrahedron equation

A. Kuniba, M. Okado, Shouya Maruyama, 2015, 1509.09018.

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

M. Jimbo, T. Miwa, E. Date, 1989 .

The Bethe Equation at q=0, The M"obius Inversion Formula, and Weight Multiplicities: III. The X^{(r)}_N case

A. Kuniba, T. Nakanishi, Z. Tsuboi, 2001, math/0105146.

Crystals for Demazure Modules of Classical Affine Lie Algebras

K. Misra, A. Kuniba, M. Okado, 1997 .

New solutions to the tetrahedron equation associated with quantized six-vertex models

A. Kuniba, Akihito Yoneyama, Shuichiro Matsuike, 2022, 2208.10258.

On tetrahedron type equations associated with $B_3,C_3, F_4$ and $H_3$

A. Kuniba, 2022, 2202.12061.

Matrix product solutions to the $G_2$ reflection equation

A. Kuniba, 2018, 1804.04305.

Tetrahedron equation and quantum R matrices for q-oscillator representations

A. Kuniba, M. Okado, 2013, Symmetry, Integrability and Geometry: Methods and Applications.

Integrable Structure of Multispecies Zero Range Process

Satoshi Watanabe, A. Kuniba, M. Okado, 2017, 1701.07279.

Stochastic R matrix for Uq(An (1))

A. Kuniba, M. Okado, Shouya Maruyama, 2016, 1604.08304.

Combinatorial Yang–Baxter maps arising from the tetrahedron equation

A. Kuniba, 2015, 1509.02245.

Multispecies totally asymmetric zero range process: II. Hat relation and tetrahedron equation

A. Kuniba, M. Okado, Shouya Maruyama, 2015, 1602.04574.

Multispecies totally asymmetric zero range process: I. Multiline process and combinatorial $R$

A. Kuniba, M. Okado, Shouya Maruyama, 2015, 1511.09168.

Tetrahedron Equation and Quantum R Matrices for Modular Double of Uq(Dn+1(2)),Uq(A2n(2))\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt}

A. Kuniba, M. Okado, S. Sergeev, 2015, Letters in Mathematical Physics.

Tetrahedron Equation and Quantum R Matrices for Modular Double of $${{\varvec{{U_q(D^{(2)}_{n+1})}}, \varvec{{U_q (A ^{(2)}_{2n})}}}}$$Uq(Dn+1(2)),Uq(A2n(2)) and $$\varvec{{U_q(C^{(1)}_{n})}}$$Uq(Cn(1))

A. Kuniba, M. Okado, S. Sergeev, 2015 .

A polynomial formula for the solution of 3D reflection equation

A. Kuniba, Shouya Maruyama, 2014, 1411.7763.

Tetrahedron Equation and Quantum $R$ Matrices for modular double of $U_q(D^{(2)}_{n+1}), U_q(A^{(2)}_{2n})$ and $U_q(C^{(1)}_{n})$

A. Kuniba, M. Okado, S. Sergeev, 2014, 1409.1986.

Tetrahedron equation and quantum R matrices for infinite-dimensional modules of and

A. Kuniba, M. Okado, 2013, 1308.6473.

A Common Structure in PBW Bases of the Nilpotent Subalgebra of U_q(g) and Quantized Algebra of Functions

A. Kuniba, M. Okado, Yasuhiko Yamada, 2013, 1302.6298.

Tetrahedron Equation and Quantum R Matrices for Spin Representations of B ( 1 ) n , D ( 1 ) n and D ( 2 ) n +1

A. Kuniba, S. Sergeev, 2013 .

Tetrahedron Equation and Quantum R Matrices for Spin Representations of $${B^{(1)}_n}$$Bn(1), $${D^{(1)}_n}$$Dn(1) and $${D^{(2)}_{n+1}}$$Dn+1(2)

A. Kuniba, S. Sergeev, 2012, 1203.6436.

Density and current profiles in Uq(A2(1)) zero range process

A. Kuniba, V. Mangazeev, 2017, 1705.10979.

Inhomogeneous Generalization of a Multispecies Totally Asymmetric Zero Range Process

A. Kuniba, M. Okado, Shouya Maruyama, 2016, Journal of Statistical Physics.

Inhomogeneous Generalization of a Multispecies Totally Asymmetric Zero Range Process

A. Kuniba, M. Okado, Shouya Maruyama, 2016, 1602.00764.

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

Kazumitsu Sakai, Chikashi Arita, K. Sakai, 2009, 0904.1481.

Tetrahedron Equation and Quantum $R$ Matrices for modular double of $U_q(D^{(2)}_{n+1}), U_q(A^{(2)}_{2n})$ and $U_q(C^{(1)}_{n})$

A. Kuniba, M. Okado, S. Sergeev, 2014, 1409.1986.

Generalized hydrodynamics in complete box-ball system for $U_q(\widehat{sl}_n)$

G. Misguich, V. Pasquier, A. Kuniba, 2020, 2011.08052.

Randomized box–ball systems, limit shape of rigged configurations and thermodynamic Bethe ansatz

Hanbaek Lyu, A. Kuniba, M. Okado, 2018, Nuclear Physics B.

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

J. Suzuki, A. Kuniba, T. Nakanishi, 1993, hep-th/9309137.

Local state probabilities for an infinite sequence of solvable lattice models

A. Kuniba, T. Yajima, 1988 .

Remarks on Fermionic Formula

Masato Okado, Goro Hatayama, Taichiro Takagi, 1998, math/9812022.

Q A ] 3 D ec 1 99 8 Remarks on Fermionic Formula

G. Hatayama, Y. Yamada, A. Kuniba, 1998 .

New Solutions to the Tetrahedron Equation Associated with Quantized Six-Vertex Models

A. Kuniba, Akihito Yoneyama, Shuichiro Matsuike, 2022, Communications in Mathematical Physics.

Set-theoretical solutions to the reflection equation associated to the quantum affine algebra of type $\boldsymbol{A^{(1)}_{n-1}}$

A. Kuniba, M. Okado, 2019, Journal of Integrable Systems.

A q-boson representation of Zamolodchikov-Faddeev algebra for stochastic R matrix of $$\varvec{U_q(A^{(1)}_n)}$$Uq(An(1))

A. Kuniba, M. Okado, 2016, 1610.00531.

Combinatorial Yang–Baxter maps arising from the tetrahedron equation

A. Kuniba, 2016, Theoretical and Mathematical Physics.

A solution of the 3D reflection equation from quantized algebra of functions of type B

A. Kuniba, M. Okado, 2012, 1210.6430.

Generalized hydrodynamics in complete box-ball system for U q ( Ò sl n )

G. Misguich, V. Pasquier, A. Kuniba, 2021 .

Set-theoretical solutions to the reflection equation associated to the quantum affine algebra of type A ( 1 ) n − 1

A. Kuniba, 2019 .

Scattering rules in soliton cellular automata associated with crystal bases

G. Hatayama, A. Kuniba, M. Okado, 2000, math/0007175.

Difference L operators related to q-characters

A. Kuniba, M. Okado, Y.Yamada, 2001, math/0109140.

The Bethe Equation at q = 0, The Möbius Inversion Formula, and Weight Multiplicities: III. The X

A. Kuniba, T. Nakanishi, Z. Tsuboi, 2001 .

Tetrahedron Equation and Quantum R Matrices for q-Oscillator Representations Mixing Particles and Holes

A. Kuniba, 2018, Symmetry, Integrability and Geometry: Methods and Applications.

Tetrahedron equation and quantum cluster algebras

A. Kuniba, Rei Inoue, Yuji Terashima, 2023, Journal of Physics A: Mathematical and Theoretical.

Quantum cluster algebras and 3D integrability: Tetrahedron and 3D reflection equations

A. Kuniba, Rei Inoue, Yuji Terashima, 2023, 2310.14493.

Special issue on cluster algebras in mathematical physics

P. Francesco, M. Yamazaki, M. Gekhtman, 2013 .

Quantum Groups in Three-Dimensional Integrability

A. Kuniba, 2022, Theoretical and Mathematical Physics.

Solutions of tetrahedron equation from quantum cluster algebra associated with symmetric butterfly quiver

A. Kuniba, Rei Inoue, Yuji Terashima, 2024, 2403.08814.