最近の論文(2002年以前の論文・
Home Page に戻る)
- G. Akemann, T. Nagao, I. Parra and G. Vernizzi:
"Gegenbauer and Other Planar Orthogonal Polynomials on an Ellipse in the Complex Plane", Constr. Approx. (2020) https:doi.org/10.1007/s00365-020-09515-0, preprint(1905.02397[math-ph])
- T. Nagao, G. Akemann, M. Kieburg and I. Parra:
"Families of Two-dimensional Coulomb Gases on an Ellipse: Correlation Functions and Universality", J. Phys. A: Math. Theor. 53 (2020) 075201, preprint(1905.07977[math-ph])
- G. Akemann, Z. Burda, M. Kieburg and T. Nagao:
"Universal Microscopic Correlation Functions for Products of Truncated
Unitary Matrices", J. Phys. A47 (2014) 255202, preprint(1310.6395[math-ph])
- T. Nagao:
"Spectral Density of Complex Networks with Two Species of Nodes",
J. Phys. A46 (2013) 065003, preprint(1208.5153[cond-mat.stat-mech])
- G. Akemann and T. Nagao:
"Random Matrix Theory for the Hermitian Wilson Dirac Operator
and the chGUE-GUE Transition", J. High Energy Phys. 2011 (2011) 60,
preprint(1108.3035[math-ph])
- P.J. Forrester and T. Nagao:
"Determinantal Correlations for Classical Projection Processes",
J. Stat. Mech. 2011 (2011) P08011, preprint(0801.0100[math-ph])
- T. Nagao:
"Spectral Correlation Functions for Chaotic Systems", 京都大学数理解析研究所講究録別冊 B27 "Spectra of Random Operators and Related Topics" (ed. by N. Minami, 2011)
- H. Kohler, T. Nagao and H.-J. Stöckmann:
"Parametric Correlations versus Fidelity Decay: the Symmetry Breaking Case",
Phys. Rev. E84 (2011) 061133,
preprint(1104.1660[quant-ph])
- K. Saito and T. Nagao:
"Chaotic Transport in the Symmetry Crossover Regime with
a Spin-orbit Interaction", Phys. Rev. B82 (2010) 125322,
preprint(1003.5537[cond-mat.mes-hall])
- K. Saito, T. Nagao, S. Müller and P. Braun:
"Semiclassical Theory for Universality in Quantum Chaos with
Symmetry Crossover", J. Phys. A42 (2009) 495101,
preprint(0906.2033[nlin.CD])
- T. Nagao and S. Müller:
"The n-level Spectral Correlations for Chaotic Systems", J. Phys. A42 (2009)
375102, preprint(0905.3888
[nlin.CD])
- P.J. Forrester and T. Nagao:
"Skew Orthogonal Polynomials and the Partly Symmetric Real Ginibre Ensemble",
J. Phys. A41 (2008) 375003, preprint(0806.0055[math-ph])
- T. Nagao and G.J. Rodgers:
"Spectral Density of Complex Networks with a Finite Mean Degree",
J. Phys. A41 (2008) 265002, preprint(0803.1042[cond-mat.stat-mech])
- T. Nagao:
"Pfaffian Expressions for Random Matrix Correlation Functions", J. Stat. Phys. 129 (2007) 1137-1158, preprint(0708.2036[math-ph])
- T. Nagao and K. Saito:
"Semiclassical Approach to Parametric Spectral Correlation with Spin 1/2",
J. Phys. A40 (2007) 12055-12070, preprint(0707.2276[nlin.CD])
- P.J. Forrester and T. Nagao:
"Eigenvalue Statistics of the Real Ginibre Ensemble", Phys. Rev. Lett. 99 (2007) 050603, preprint(0706.2020[cond-mat.stat-mech])
- T. Nagao and T. Tanaka:
"Spectral Density of Sparse Sample Covariance Matrices", J. Phys. A40
(2007) 4973-4987,
preprint(
cond-mat/0612584)
- T. Nagao, P. Braun, S. Müller, K. Saito, S. Heusler and F. Haake:
"Semiclassical Theory for Parametric Correlation of Energy Levels",
J. Phys. A40 (2007) 47-63,
preprint(
nlin.CD/0607070)
- K. Saito and T. Nagao:
"Spectral Form Factor for Chaotic Dynamics in a Weak Magnetic Field",
Phys. Lett. A352 (2006) 380-385,
preprint(
nlin.CD/0505055)
- P.J. Forrester, T. Nagao and E.M. Rains:
"Correlation Functions for Random Involutions", Int. Math. Res. Not.
(2006) 89796, preprint
(
math.CO/0503074)
- T. Nagao and T. Sasamoto:
"Asymmetric Simple Exclusion Process and Modified Random
Matrix Ensembles", Nucl. Phys. B699 (2004) 487-502, preprint
(
cond-mat/0405321)
- M. Katori, H. Tanemura, T. Nagao and N. Komatsuda:
"Vicious Walks with a Wall, Noncolliding Meanders, and Chiral and
Bogoliubov-de Gennes Random Matrices", Phys. Rev. E68 (2003) 021112,
preprint (
cond-mat/0303573)
- T. Nagao: "Dynamical Correlations for Vicious Random Walk with a
Wall", Nucl. Phys. B658 (2003) 373-396, preprint
(
cond-mat/0301547)
- M. Katori, T. Nagao and H. Tanemura: "Infinite Systems of Non-colliding
Brownian Particles", Advanced Studies in Pure Mathematics 39
(Mathematical Society of Japan, 2004) 283-306, preprint
(
math.PR/0301143)
- T. Nagao and K. Saito: "Form Factor of a Quantum Graph in a Weak
Magnetic Field", Phys. Lett. A311 (2003) 353-358, preprint
(
nlin.CD/0211006)
- T. Nagao and P.J. Forrester:
"Dynamical Correlations for Circular Ensembles
of Random Matrices", Nucl. Phys. B660 (2003) 557-578, preprint
(
cond-mat/0208430)
- T. Nagao, M. Katori and H. Tanemura: "Dynamical Correlations among
Vicious Random Walkers", Phys. Lett. A307 (2003) 29-35, preprint
(
cond-mat/0202068)
著書
- G.J. Rodgers and T. Nagao: "Complex Networks", The Oxford Handbook of
Random Matrix Theory (ed. by G. Akemann, J. Baik and P. Di Francesco, 2011) Chapter 43
- 永尾 太郎: 「ランダム行列の基礎」(2005 年2月 東京大学出版会)
日本語の解説文
- 永尾 太郎: 「ランダム行列の固有値」(数理科学 2019年4月号 特集「固有値問題の探求-数理科学とその枠を超えて」, サイエンス社)
- 永尾 太郎: 「ランダム行列」(現代数理科学事典 第2版, 2009年,
広中 平祐 編集代表, 丸善)
- 永尾 太郎: 「ランダム行列百花繚乱」(数理科学 2007年2月号 特集「ランダム行列の広がり-その多彩な応用」, サイエンス社)
- 永尾 太郎: 「行列のブラウン運動と量子準位統計」(
「数理物理への誘い6 最新の動向をめぐって」 第7話, 2006年8月,
小嶋 泉 編, 遊星社)