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  1. A singular linear statistic for a perturbed LUE and the Hankel matrices

    Article • Journal of Mathematical Physics, August 2023, American Institute of Physics

    Professor Yang Chen

  2. Asymptotics for a singularly perturbed GUE, Painlevé III, double-confluent Heun equations, and small eigenvalues

    Article • Journal of Mathematical Physics, June 2022, American Institute of Physics

    Professor Yang Chen

  3. The smallest eigenvalue of large Hankel matrices generated by a singularly perturbed Laguerre weight

    Article • Journal of Mathematical Physics, July 2020, American Institute of Physics

    Professor Yang Chen, Mengkun Zhu

  4. Analytical results for the dynamics of parabolic level-crossing model

    Article • New Journal of Physics, February 2020, Institute of Physics Publishing

    Professor Yang Chen, Professor Yang Chen

  5. On semiclassical orthogonal polynomials associated with a Freud‐type weixght

    Article • Mathematical Methods in the Applied Sciences, February 2020, Wiley

    Professor Yang Chen, Professor Yang Chen

  6. Orthogonal polynomials, asymptotics, and Heun equations

    Article • Journal of Mathematical Physics, November 2019, American Institute of Physics

    Professor Yang Chen, Professor Yang Chen

  7. Painlevé V, Painlevé XXXIV and the degenerate Laguerre unitary ensemble

    Article • Random Matrices Theory and Application, October 2019, World Scientific Pub Co Pte Lt

    Professor Yang Chen, Professor Yang Chen

  8. Critical edge behavior in the perturbed Laguerre unitary ensemble and the Painlevé V transcendent

    Article • Journal of Mathematical Analysis and Applications, June 2019, Elsevier

    Professor Yang Chen, Professor Yang Chen

  9. The Riemann–Hilbert analysis to the Pollaczek–Jacobi type orthogonal polynomials

    Article • Studies in Applied Mathematics, March 2019, Wiley

    Professor Yang Chen, Professor Yang Chen

  10. On properties of a deformed Freud weight

    Article • Random Matrices Theory and Application, December 2018, World Scientific Pub Co Pte Lt

    Professor Yang Chen

  11. The Hankel determinant associated with a singularly perturbed Laguerre unitary ensemble

    Article • Journal of Nonlinear Mathematical Physics, December 2018, Taylor & Francis

    Professor Yang Chen, Professor Yang Chen

  12. Painlevé III′ and the Hankel determinant generated by a singularly perturbed Gaussian weight

    Article • Nuclear Physics B, November 2018, Elsevier

    Professor Yang Chen, Professor Yang Chen

  13. Painlevé transcendents and the Hankel determinants generated by a discontinuous Gaussian weight

    Article • Mathematical Methods in the Applied Sciences, October 2018, Wiley

    Professor Yang Chen, Professor Yang Chen

  14. Nonlinear difference equations arising from the generalized Stieltjes-Wigert and q -Laguerre weights

    Article • Mathematical Methods in the Applied Sciences, February 2018, Wiley

    Professor Yang Chen, Professor Yang Chen

  15. Asymptotic gap probability distributions of the Gaussian unitary ensembles and Jacobi unitary ensembles

    Article • Nuclear Physics B, January 2018, Elsevier

    Professor Yang Chen

  16. Single-user MIMO system, Painlevé transcendents, and double scaling

    Article • Journal of Mathematical Physics, December 2017, American Institute of Physics

    Professor Yang Chen, Professor Yang Chen

  17. Gap Probability Distribution of the Jacobi Unitary Ensemble: An Elementary Treatment, from Finite n to Double Scaling

    Article • Studies in Applied Mathematics, November 2017, Wiley

    Professor Yang Chen, Professor Yang Chen

  18. Preface

    Article • Random Matrices Theory and Application, October 2017, World Scientific Pub Co Pte Lt

    Professor Yang Chen, Professor Yang Chen

  19. The recurrence coefficients of a semi-classical Laguerre polynomials and the large n asymptotics of the associated Hankel determinant

    Article • Random Matrices Theory and Application, October 2017, World Scientific Pub Co Pte Lt

    Professor Yang Chen

  20. Nonlinear difference equations for the generalized little q-Laguerre polynomials

    Article • The Journal of Difference Equations and Applications, September 2017, Taylor & Francis

    Professor Yang Chen, Professor Yang Chen

  21. Exceptional solutions to the Painlevé VI equation associated with the generalized Jacobi weight

    Article • Random Matrices Theory and Application, January 2017, World Scientific Pub Co Pte Lt

    Professor Yang Chen, Professor Yang Chen

  22. Large N-limit for random matrices with external source with three distinct eigenvalues

    Article • Random Matrices Theory and Application, April 2016, World Scientific Pub Co Pte Lt

    Professor Yang Chen, Professor Yang Chen

  23. Perturbed Hankel determinant, correlation functions and Painlevé equations

    Article • Journal of Mathematical Physics, February 2016, American Institute of Physics

    Professor Yang Chen, Professor Yang Chen

  24. Linear statistics of matrix ensembles in classical background

    Article • Mathematical Methods in the Applied Sciences, January 2016, Wiley

    Professor Yang Chen, Professor Yang Chen

  25. On the Variance of Linear Statistics of Hermitian Random Matrices

    Article • Acta Physica Polonica B, January 2016, Acta Physica Polonica B Editorial Office

    Professor Yang Chen

  26. The Hopf–Cole transformation, topological solitons and multiple fusion solutions for the n-dimensional Burgers system

    Article • Physics Letters A, January 2016, Elsevier

    Professor Yang Chen, Professor Yang Chen

  27. Asymptotics of determinants of Hankel matrices via non-linear difference equations

    Article • Journal of Approximation Theory, October 2015, Elsevier

    Professor Yang Chen, Professor Yang Chen

  28. Analysis and Design of Multiple-Antenna Cognitive Radios With Multiple Primary User Signals

    Article • IEEE Transactions on Signal Processing, September 2015, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Yang Chen, Professor Yang Chen

  29. Hypergeometric functions of matrix arguments and linear statistics of multi-spiked Hermitian matrix models

    Article • Journal of Multivariate Analysis, July 2015, Elsevier

    Professor Yang Chen, Professor Yang Chen

  30. Computing the Smallest Eigenvalue of Large Ill-Conditioned Hankel Matrices

    Article • Communications in Computational Physics, July 2015, Global Science Press

    Professor Yang Chen, Professor Yang Chen

  31. Singular linear statistics of the Laguerre unitary ensemble and Painlevé. III. Double scaling analysis

    Article • Journal of Mathematical Physics, June 2015, American Institute of Physics

    Professor Yang Chen

  32. Asymptotic Linear Spectral Statistics for Spiked Hermitian Random Matrices

    Article • Journal of Statistical Physics, March 2015, Springer Science + Business Media

    Professor Yang Chen, Professor Yang Chen

  33. Deformed $q^{-1}$-Laguerre Polynomials, Recurrence Coefficients, and Non-linear Difference Equations

    Article • Acta Physica Polonica B, January 2015, Acta Physica Polonica B Editorial Office

    Professor Yang Chen, Professor Yang Chen

  34. Perturbed Laguerre unitary ensembles, Hankel determinants, and information theory

    Article • Mathematical Methods in the Applied Sciences, December 2014, Wiley

    Professor Yang Chen, Professor Yang Chen

  35. Continuous and Discrete Painlevé Equations Arising from the Gap Probability Distribution of the Finite $$n$$ n Gaussian Unitary Ensembles

    Article • Journal of Statistical Physics, August 2014, Springer Science + Business Media

    Professor Yang Chen

  36. On the Distribution of MIMO Mutual Information: An In-Depth Painlevé-Based Characterization

    Article • IEEE Transactions on Information Theory, September 2013, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Yang Chen, Professor Yang Chen

  37. Moduli space of supersymmetric QCD in the Veneziano limit

    Article • Journal of High Energy Physics, September 2013, Springer Science + Business Media

    Professor Yang Chen, Professor Yang Chen

  38. Random matrix models, double-time Painlevé equations, and wireless relaying

    Article • Journal of Mathematical Physics, June 2013, American Institute of Physics

    Professor Yang Chen

  39. Distributions of Demmel and Related Condition Numbers

    Article • SIAM Journal on Matrix Analysis and Applications, January 2013, Society for Industrial & Applied Mathematics (SIAM)

    Professor Yang Chen, Professor Yang Chen

  40. The Hilbert series of and SQCD, Painlevé VI and integrable systems

    Article • Nuclear Physics B, July 2012, Elsevier

    Professor Yang Chen, Professor Yang Chen

  41. Coulumb Fluid, Painlevé Transcendents, and the Information Theory of MIMO Systems

    Article • IEEE Transactions on Information Theory, July 2012, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Yang Chen, Professor Yang Chen

  42. PDEs SATISFIED BY EXTREME EIGENVALUES DISTRIBUTIONS OF GUE AND LUE

    Article • Random Matrices Theory and Application, January 2012, World Scientific Pub Co Pte Lt

    Professor Yang Chen, Professor Yang Chen

  43. The Hilbert series of U/SU SQCD and Toeplitz determinants

    Article • Nuclear Physics B, September 2011, Elsevier

    Professor Yang Chen, Professor Yang Chen

  44. Painlevé V and a Pollaczek–Jacobi type orthogonal polynomials

    Article • Journal of Approximation Theory, December 2010, Elsevier

    Professor Yang Chen, Professor Yang Chen

  45. Smallest eigenvalue distribution of the fixed-trace Laguerre beta-ensemble

    Article • Journal of Physics A Mathematical and Theoretical, July 2010, Institute of Physics Publishing

    Professor Yang Chen, Professor Yang Chen

  46. Painlevé VI and the Unitary Jacobi Ensembles

    Article • Studies in Applied Mathematics, March 2010, Wiley

    Professor Yang Chen, Professor Yang Chen

  47. Painlevé III and a singular linear statistics in Hermitian random matrix ensembles, I

    Article • Journal of Approximation Theory, February 2010, Elsevier

    Professor Yang Chen, Professor Yang Chen

  48. Painlevé V and time-dependent Jacobi polynomials

    Article • Journal of Physics A Mathematical and Theoretical, December 2009, Institute of Physics Publishing

    Professor Yang Chen, Professor Yang Chen

  49. Painlevé V and the distribution function of a discontinuous linear statistic in the Laguerre unitary ensembles

    Article • Journal of Physics A Mathematical and Theoretical, December 2008, Institute of Physics Publishing

    Professor Yang Chen, Professor Yang Chen

  50. Ladder operators for q-orthogonal polynomials

    Article • Journal of Mathematical Analysis and Applications, September 2008, Elsevier

    Professor Yang Chen, Professor Yang Chen

  51. Toeplitz determinants from compatibility conditions

    Article • The Ramanujan Journal, May 2008, Springer Science + Business Media

    Professor Yang Chen, Professor Yang Chen

  52. Generalizations of Chebyshev polynomials and polynomial mappings

    Article • Transactions of the American Mathematical Society, October 2007, American Mathematical Society (AMS)

    Professor Yang Chen, Professor Yang Chen

  53. A Riemann–Hilbert approach to the Akhiezer polynomials

    Article • Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences, June 2007, Royal Society Publishing

    Professor Yang Chen, Professor Yang Chen

  54. Painlevé IV and degenerate Gaussian unitary ensembles

    Article • Journal of Physics A General Physics, September 2006, Institute of Physics Publishing

    Professor Yang Chen, Professor Yang Chen

  55. Perturbed Hankel determinants

    Article • Journal of Physics A General Physics, November 2005, Institute of Physics Publishing

    Professor Yang Chen, Professor Yang Chen

  56. Orthogonal polynomials with discontinuous weights

    Article • Journal of Physics A General Physics, March 2005, Institute of Physics Publishing

    Professor Yang Chen, Professor Yang Chen

  57. Article • Proceedings of the American Mathematical Society, February 2005, American Mathematical Society (AMS)

    Professor Yang Chen

  58. Smallest eigenvalues of Hankel matrices for exponential weights

    Article • Journal of Mathematical Analysis and Applications, May 2004, Elsevier

    Professor Yang Chen, Professor Yang Chen

  59. The x-ray problem revisited

    Article • Journal of Physics A General Physics, March 2003, Institute of Physics Publishing

    Professor Yang Chen, Professor Yang Chen

  60. A Note on Wiener-Hopf Determinants and the Borodin-Okounkov Identity

    Article • Integral Equations and Operator Theory, March 2003, Springer Science + Business Media

    Professor Yang Chen, Professor Yang Chen

  61. A generalization of the Chebyshev polynomials

    Article • Journal of Physics A General Physics, May 2002, Institute of Physics Publishing

    Professor Yang Chen, Professor Yang Chen

  62. Eigenvalue correlations on hyperelliptic Riemann surfaces

    Article • Journal of Physics A General Physics, January 2002, Institute of Physics Publishing

    Professor Yang Chen, Professor Yang Chen

  63. Krall-type polynomials via the Heine formula

    Article • Journal of Physics A General Physics, January 2002, Institute of Physics Publishing

    Professor Yang Chen, Professor Yang Chen

  64. Determinants of Hankel Matrices

    Article • Journal of Functional Analysis, January 2001, Elsevier

    Professor Yang Chen, Professor Yang Chen

  65. Small eigenvalues of large Hankel matrices

    Article • Journal of Physics A General Physics, October 1999, Institute of Physics Publishing

    Professor Yang Chen, Professor Yang Chen

  66. Statistical properties of a localization-delocalization transition in one dimension

    Article • June 1999, American Physical Society (APS)

    Professor Yang Chen, Professor Yang Chen

  67. Parametric number variance of disordered systems in the multifractal regime

    Article • Waves in Random Media, April 1999, Taylor & Francis

    Professor Yang Chen, Professor Yang Chen

  68. Asymptotics of the largest zeros of some orthogonal polynomials

    Article • Journal of Physics A General Physics, June 1998, Institute of Physics Publishing

    Professor Yang Chen, Professor Yang Chen

  69. Tau-Function Constructions of the Recurrence Coefficients of Orthogonal Polynomials

    Article • Advances in Applied Mathematics, February 1998, Elsevier

    Professor Yang Chen, Professor Yang Chen

  70. On the linear statistics of Hermitian random matrices

    Article • Journal of Physics A General Physics, January 1998, Institute of Physics Publishing

    Professor Yang Chen, Professor Yang Chen

  71. Hermitean Matrix Ensembles and Orthogonal Polynomials

    Article • Studies in Applied Mathematics, January 1998, Wiley

    Professor Yang Chen, Professor Yang Chen

  72. Ladder operators and differential equations for orthogonal polynomials

    Article • Journal of Physics A General Physics, November 1997, Institute of Physics Publishing

    Professor Yang Chen, Professor Yang Chen

  73. Thermodynamic relations of the Hermitian matrix ensembles

    Article • Journal of Physics A General Physics, October 1997, Institute of Physics Publishing

    Professor Yang Chen, Professor Yang Chen

  74. Asymptotics of extreme zeros of the Meixner-Pollaczek polynomials

    Article • Journal of Computational and Applied Mathematics, September 1997, Elsevier

    Professor Yang Chen, Professor Yang Chen

  75. Some Indeterminate Moment Problems and Freud-Like Weights

    Article • Constructive Approximation, January 1997, Springer Science + Business Media

    Professor Yang Chen, Professor Yang Chen

  76. Some eigenvalue distribution functions of the Laguerre ensemble

    Article • Journal of Physics A General Physics, December 1996, Institute of Physics Publishing

    Professor Yang Chen, Professor Yang Chen

  77. DISTRIBUTION FUNCTION FOR SHOT NOISE IN WIGNER-DYSON ENSEMBLES

    Article • International Journal of Modern Physics B, July 1996, World Scientific Pub Co Pte Lt

    Professor Yang Chen, Professor Yang Chen

  78. GAP PROBABILITY OF A ONE-DIMENSIONAL GAS MODEL

    Article • International Journal of Modern Physics B, July 1996, World Scientific Pub Co Pte Lt

    Professor Yang Chen, Professor Yang Chen

  79. GAP FORMATION PROBABILITY OF THE α-ENSEMBLE

    Article • International Journal of Modern Physics B, April 1995, World Scientific Pub Co Pte Lt

    Professor Yang Chen, Professor Yang Chen

  80. Largest eigenvalue distribution in the double scaling limit of matrix models: a Coulomb fluid approach

    Article • Journal of Physics A General Physics, April 1995, Institute of Physics Publishing

    Professor Yang Chen, Professor Yang Chen

  81. Universal parametric correlations of eigenvalues of random matrix ensembles

    Article • Journal of Physics A General Physics, March 1995, Institute of Physics Publishing

    Professor Yang Chen, Professor Yang Chen

  82. Asymptotics of basic Bessel functions and q-Laguerre polynomials

    Article • Journal of Computational and Applied Mathematics, October 1994, Elsevier

    Professor Yang Chen, Professor Yang Chen

  83. Transitions in spectral statistics

    Article • Journal of Physics A General Physics, August 1994, Institute of Physics Publishing

    Professor Yang Chen, Professor Yang Chen

  84. Vortices on 'rail road tracks': a possible realization of a random matrix ensemble

    Article • Journal of Physics Condensed Matter, July 1994, Institute of Physics Publishing

    Professor Yang Chen, Professor Yang Chen

  85. Asymptotic level spacing of the Laguerre ensemble: a Coulomb fluid approach

    Article • Journal of Physics A General Physics, June 1994, Institute of Physics Publishing

    Professor Yang Chen, Professor Yang Chen

  86. A cross-over from Fermi-liquid to non-Fermi-liquid behaviour in a solvable one-dimensional model

    Article • Journal of Physics Condensed Matter, May 1994, Institute of Physics Publishing

    Professor Yang Chen

  87. Distribution of linear statistics in random matrix models (metallic conductance fluctuations)

    Article • Journal of Physics Condensed Matter, April 1994, Institute of Physics Publishing

    Professor Yang Chen, Professor Yang Chen

  88. Gauge theoretic approach to the electromagnetic response of the high-temperature superconductors

    Article • Journal of Physics Condensed Matter, August 1993, Institute of Physics Publishing

    Professor Yang Chen, Professor Yang Chen

  89. New family of unitary random matrices

    Article • Physical Review Letters, July 1993, American Physical Society (APS)

    Professor Yang Chen, Professor Yang Chen

  90. The Hall effect in the normal state of the t-J model

    Article • Journal of Physics Condensed Matter, January 1993, Institute of Physics Publishing

    Professor Yang Chen, Professor Yang Chen

  91. Metallic and insulating behaviour in an exactly solvable random matrix model

    Article • Journal of Physics Condensed Matter, January 1993, Institute of Physics Publishing

    Professor Yang Chen, Professor Yang Chen

  92. Electrons in thet-Jmodel as bound states of spinons and holons

    Article • September 1992, American Physical Society (APS)

    Professor Yang Chen, Professor Yang Chen

  93. Momentum distribution of electrons in the t-J model

    Article • Journal of Physics Condensed Matter, August 1992, Institute of Physics Publishing

    Professor Yang Chen, Professor Yang Chen

  94. X-ray response of the Luttinger model

    Article • Physical Review Letters, August 1992, American Physical Society (APS)

    Professor Yang Chen, Professor Yang Chen

  95. A solvable random matrix model for disordered conductors

    Article • Journal of Physics Condensed Matter, August 1992, Institute of Physics Publishing

    Professor Yang Chen, Professor Yang Chen

  96. X-ray-photoemission spectra of impure simple metals

    Article • July 1992, American Physical Society (APS)

    Professor Yang Chen, Professor Yang Chen

  97. t-Jmodel in its normal state

    Article • January 1992, American Physical Society (APS)

    Professor Yang Chen, Professor Yang Chen

  98. Classical mechanics at T=0: Mobility of negative ions in ^{3}He

    Article • Physical Review Letters, October 1990, American Physical Society (APS)

    Professor Yang Chen, Professor Yang Chen

  99. Holes in antiferromagnets: Pairing interaction

    Article • October 1990, American Physical Society (APS)

    Professor Yang Chen, Professor Yang Chen

  100. Holes in Heisenberg antiferromagnets

    Article • May 1990, American Physical Society (APS)

    Professor Yang Chen, Professor Yang Chen

  101. Degenerate spin-boson system

    Article • August 1989, American Physical Society (APS)

    Professor Yang Chen, Professor Yang Chen

  102. A polymer in a fractal pore space

    Article • Journal of Physics A General Physics, November 1988, Institute of Physics Publishing

    Professor Yang Chen

  103. Functional bosonisation of the Tomonaga-Luttinger model

    Article • Journal of Physics A General Physics, November 1988, Institute of Physics Publishing

    Professor Yang Chen, Professor Yang Chen

  104. Functional-integral approach to an exactly soluble one-dimensional electron-phonon system

    Article • October 1988, American Physical Society (APS)

    Professor Yang Chen, Professor Yang Chen

  105. The statistics of polymers on rough surfaces

    Article • Journal of Physics A General Physics, July 1988, Institute of Physics Publishing

    Professor Yang Chen, Professor Yang Chen

  106. Size of a polyelectrolyte chain in solution containing counterions

    Article • The Journal of Chemical Physics, February 1987, American Institute of Physics

    Professor Yang Chen, Professor Yang Chen

  107. Self-Avoiding Walks on a Crumpled Fractal

    Article • Physical Review Letters, December 1986, American Physical Society (APS)

    Professor Yang Chen, Professor Yang Chen

  108. Free energy of a macromolecule in a confined domain

    Article • May 1986, American Physical Society (APS)

    Professor Yang Chen, Professor Yang Chen

  109. Charged Spinning Mass field involving special functions.

    Article • Journal of Mathematical Physics, June 1983, American Institute of Physics

    Professor Yang Chen, Professor Yang Chen