2002年以前の論文(最近の論文・
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- T. Nagao and P.J. Forrester: "Vicious Random Walkers and a
Discretization of Gaussian Random Matrix Ensembles ",
Nucl. Phys. B620 (2002) 551-565, preprint
(
cond-mat/0107221)
- P.J. Forrester and T. Nagao:
"Correlations for the Cauchy and Generalized Circular Ensembles
with Orthogonal and Symplectic Symmetry", J. Phys. A34 (2001) 7917-7932
- T. Nagao and S.M. Nishigaki: "Chiral Lagrangians from Lattice Gauge
Theories in the Strong Coupling Limit" Phys. Rev. D64 (2001) 014507, preprint
(
hep-lat/0012029)
- T. Nagao: "Correlation Functions
for Multi-matrix Models and Quaternion Determinants",
Nucl. Phys. B602 (2001) 622-637
- T. Nagao and S.M. Nishigaki: "Massive Random Matrix
Ensembles at β = 1 & 4: QCD in Three Dimensions",
Phys. Rev. D63 (2001) 045011, preprint
(
hep-th/0005077)
- T. Nagao and S.M. Nishigaki: "Massive Chiral Random Matrix
Ensembles at β = 1 & 4: QCD Dirac Operator Spectra",
Phys. Rev. D62 (2000) 065007, preprint
(
hep-th/0003009)
- T. Nagao and S.M. Nishigaki: "Massive Chiral Random Matrix
Ensembles at β = 1 & 4: Finite-volume QCD Partition Functions",
Phys. Rev. D62 (2000) 065006, preprint
(
hep-th/0001137)
- K. Saito and T. Nagao: "Spectral Statistics of the Bootstrapped
Density of States in the d-Dimensional Integrable Billiard System",
J. Phys. Soc. Jpn. 69 (2000) 2792-2797
- M. Adler, P.J. Forrester, T. Nagao and P. van Moerbeke:
"Classical Skew Orthogonal Polynomials and Random Matrices",
J. Stat. Phys. 99 (2000) 141-170,
preprint (
solv-int/9907001)
- T. Nagao and P.J. Forrester: "Quaternion Determinant Expressions
for Multilevel Dynamical Correlation Functions of Parametric
Random Matrices", Nucl. Phys. B563 (1999) 547-572
- P.J. Forrester, T. Nagao and G. Honner: "Correlation
for the Orthogonal-unitary and Symplectic-unitary
Transitions at the Hard and Soft Edges", Nucl. Phys. B553 (1999) 601-643,
preprint (
cond-mat/9811142)
- K. Saito and T. Nagao: "On the Failure and the Modification of
Semiclassical Trace Formula in the Quantum Standard Map",
J. Phys. Soc. Jpn. 68 (1999) 1131-1138
- P.J. Forrester and T. Nagao: "Correlation for the Circular Dyson
Brownian Motion Model with Poisson Initial Conditions",
Nucl. Phys. B532 (1998) 733-752,
preprint (
cond-mat/9805330)
- T. Nagao and P.J. Forrester: "Multilevel Dynamical Correlation
Functions for Dyson's Brownian Motion Model of Random Matrices",
Phys Lett. A247 (1998) 42-46
- T. Nagao and P.J. Forrester: "Transitive Ensembles of Random Matrices
Related to Orthogonal Polynomials", Nucl. Phys. B530 (1998) 742-762
- T. Nagao and P.J. Forrester: "The Smallest
Eigenvalue Distribution at the Spectrum Edge of Random Matrices",
Nucl. Phys. B509 (1998) 561-598
- K. Tsukagoshi, T. Nagao, M. Haraguchi, S. Takaoka,
K. Murase and K. Gamo: "Commensurability Oscillations by Runaway and
Pinned Electrons", SuperLatt. Microstruct. 23 (1998) 493-496
- T. Nagao: "Magnetotransport through Antidot Lattices: How does it
Depend on Antidot Diameter?", J. Phys. Soc. Jpn. 66 (1997) 3183-3187
- P.J. Forrester and T. Nagao: "Correlations for Parameter-dependent
Random Matrices", J. Stat. Phys. 89 (1997) 69-110
- T. Nagao: "Magnetotransport through Random Antidot Lattices",
J. Phys. Soc. Jpn. 65 (1996) 2606-2609
- K. Tsukagoshi, T. Nagao, M. Haraguchi, S. Takaoka, K. Murase
and K. Gamo: "Investigation of Hall Resistivity in Antidot Lattices
with respect to Commensurability Oscillations",
J. Phys. Soc. Jpn. 65 (1996) 1914-1916
- T. Nagao: "Effect of Anisotropy on Magnetotransport through
Antidot Lattices", J. Phys. Soc. Jpn. 64 (1995) 4097-4100
- T. Nagao: "Universal Correlations Near a Singularity of Random Matrix
Spectrum", J. Phys. Soc. Jpn. 64 (1995) 3675-3681
- T. Nagao: "Statistical Approach to Local Dynamics of Energy Levels",
Phys. Lett. A198 (1995) 415-423
- K. Slevin and T. Nagao: "Maximum Entropy Models of Transport
in Mesoscopic Wires", Int. J. Mod. Phys. B9 (1995) 103-143
- T. Nagao and P.J. Forrester: "Asymptotic Correlations at the
Spectrum Edge of Random Matrices", Nucl. Phys. B435 (1995) 401-420
- H. Mizuta, T. Nagao and M. Wadati: "Correlation Length for the XXZ
Spin Chain at Finite Temperature", J. Phys. Soc. Jpn. 63 (1994) 3951-3961
- K. Slevin and T. Nagao: "Impurity Scattering in Mesoscopic
Quantum Wires and the Laguerre Ensemble", Phys. Rev. B50 (1994) 2380-2392
- T. Nagao: "Level Dynamics and the Conserved Quantities",
Prog. Theor. Phys. Suppl. No.116 (1994) 347-350
- T. Nagao: "Spectrum Edge of Random Matrices and Mesoscopic
Conductors", J. Phys. Soc. Jpn. 63 (1994) Suppl. A 195-202
- T. Nagao and M. Wadati: "Eigenvalue Distribution of Random
Matrices at the Spectrum Edge", J. Phys. Soc. Jpn. 62 (1993) 3845-3856
- M. Shiroishi, T. Nagao and M. Wadati: "Level Spacing
Distributions of Random Matrix Ensembles", J. Phys. Soc. Jpn. 62
(1993) 2248-2259
- M. Wadati, T. Nagao and K. Hikami: "Quantum Integrable
Systems", Physica D68 (1993) 162-168
- T. Nagao and K. Slevin: "Laguerre Ensembles of Random
Matrices: Nonuniversal Correlation Functions", J. Math. Phys. 34
(1993) 2317-2330
- T. Nagao and K. Slevin: "Nonuniversal Correlations for
Random Matrix Ensembles", J. Math. Phys. 34 (1993) 2075-2085
- K. Slevin and T. Nagao: "New Random Matrix Theory of
Scattering in Mesoscopic Systems", Phys. Rev. Lett. 70 (1993) 635-638
- T. Nagao: "Eigenvalue Correlations for Random Matrices",
Vistas in Astronomy, 37 (1993) 133-136
- T. Nagao and M. Wadati: "Correlation Functions for
Jastrow-product Wave Functions", J. Phys. Soc. Jpn. 62 (1993)
480-488
- T. Nagao and M. Wadati: "Level Statistics of Discrete
Schrödinger Equations and Orthogonal Polynomials",
J. Phys. Soc. Jpn. 62 (1993) 46-52
- T. Nagao and M. Wadati: "Ergodicity of Random Matrix Ensembles
Related to Orthogonal Polynomials", J. Phys. Soc. Jpn. 61 (1992) 3910-3927
- T. Nagao and M. Wadati: "An Integration Method on Generalized
Circular Ensembles", J. Phys. Soc. Jpn. 61 (1992) 1903-1909
- T. Nagao and M. Wadati: "Correlation Functions of Random
Matrix Ensembles Related to Classical Orthogonal Polynomials. III",
J. Phys. Soc. Jpn. 61 (1992) 1910-1918
- J. Suzuki, T. Nagao and M. Wadati: "Exactly Solvable
Models and Finite Size Corrections", Int. J. Mod. Phys. B6 (1992)
1119-1180
- T. Nagao and M. Wadati: "Correlation Functions of
Random Matrix Ensembles Related to Classical Orthogonal
Polynomials. II", J. Phys. Soc. Jpn. 61 (1992) 78-88
- T. Nagao and M. Wadati: "Correlation Functions of Random
Matrix Ensembles Related to Classical Orthogonal Polynomials",
J. Phys. Soc. Jpn. 60 (1991) 3298-3322
- T. Nagao and M. Wadati: "Thermodynamics of Particle Systems
Related to Random Matrices", J. Phys. Soc. Jpn. 60 (1991) 1943-1951
日本語の解説文
- 永尾 太郎: 「無限次元ランダム行列の普遍性」(数理科学 1994年10月号
特集「量子準位統計-カオスをとらえる新たな視点」24;
別冊数理科学「量子カオスの物理と数理」, 2000年4月 174, サイエンス社)
- 永尾 太郎: 「ランダム行列と直交多項式の数理」
数理解析研究所講究録 933
(短期共同研究「非線形可積分系の応用数理」報告集, 1995年12月,
京都大学数理解析研究所)
- 永尾 太郎, 和達三樹: 「ランダム行列の方法」, 科学, 1993年3月号 171