RECENT WORKS (old works, back to Home Page)

• T. Nagao: "Two-Dimensional Coulomb Gas on an Elliptic Annulus", preprint(2404.11196[math-ph])

• 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", RIMS Kôkyûroku Bessatsu 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, 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, 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, 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, preprint ( nlin.CD/0211006)

• T. Nagao and P.J. Forrester: "Dynamical Correlations for Circular Ensembles of Random Matrices", Nucl. Phys. B660 (2003) 557, preprint ( cond-mat/0208430)

• T. Nagao, M. Katori and H. Tanemura: "Dynamical Correlations among Vicious Random Walkers", Phys. Lett. A307 (2003) 29, preprint ( cond-mat/0202068)

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Book

• 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