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  1. Asymptotics of the largest eigenvalue distribution of the Laguerre unitary ensemble

    Article • Journal of Mathematical Physics, June 2021, American Institute of Physics

    Professor Yang Chen

  2. Painlevé IV, σ-form, and the deformed Hermite unitary ensembles

    Article • Journal of Mathematical Physics, March 2021, American Institute of Physics

    Mengkun Zhu, Professor Yang Chen

  3. 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

  4. 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

  5. Orthogonal Polynomials with a Semi-classical Weight and Their Recurrence Coefficients

    Article • IEEE Access, January 2020, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Yang Chen

  6. Linear statistics of random matrix ensembles at the spectrum edge associated with the Airy kernel

    Article • Nuclear Physics B, January 2020, Elsevier

    Professor Yang Chen

  7. On Determinant Expansions for Hankel Operators

    Article • Concrete Operators, January 2020, De Gruyter

    Professor Yang Chen

  8. Smallest eigenvalue of large Hankel matrices at critical point: Comparing conjecture with parallelised computation

    Article • Applied Mathematics and Computation, December 2019, Elsevier

    Professor Yang Chen

  9. Preface: “Complex ODEs: Asymptotics, orthogonal polynomials and random matrices”

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

    Professor Yang Chen

  10. Orthogonal polynomials, asymptotics, and Heun equations

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

    Professor Yang Chen, Professor Yang Chen

  11. 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

  12. 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

  13. 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

  14. The smallest eigenvalue of large Hankel matrices generated by a deformed Laguerre weight

    Article • Mathematical Methods in the Applied Sciences, March 2019, Wiley

    Professor Yang Chen

  15. 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

  16. 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

  17. 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

  18. Preface

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

    Professor Yang Chen

  19. Center of mass distribution of the Jacobi unitary ensembles: Painlevé V, asymptotic expansions

    Article • Journal of Mathematical Physics, October 2018, American Institute of Physics

    Professor Yang Chen

  20. The smallest eigenvalue of large Hankel matrices

    Article • Applied Mathematics and Computation, October 2018, Elsevier

    Professor Yang Chen

  21. A characterization theorem for semi-classical orthogonal polynomials on non-uniform lattices

    Article • Applied Mathematics and Computation, October 2018, Elsevier

    Professor Yang Chen

  22. 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

  23. 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

  24. 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

  25. Preface

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

    Professor Yang Chen, Professor Yang Chen

  26. 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

  27. Explicitly self-similar solutions for the Euler/Navier–Stokes–Korteweg equations in RN

    Article • Applied Mathematics Letters, May 2017, Elsevier

    Professor Yang Chen

  28. The largest eigenvalue distribution of the laguerre unitary ensemble

    Article • Acta Mathematica Scientia, March 2017, Elsevier

    Professor Yang Chen

  29. 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

  30. Kernels and point processes associated with Whittaker functions

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

    Professor Yang Chen

  31. 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

  32. 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

  33. Linear statistics of matrix ensembles in classical background

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

    Professor Yang Chen, Professor Yang Chen

  34. 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

  35. 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

  36. 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

  37. 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

  38. 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

  39. 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

  40. 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

  41. Non linear difference equations arising from a deformation of the q-Laguerre weight

    Article • Indagationes Mathematicae, January 2015, Elsevier

    Professor Yang Chen

  42. 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

  43. Multiple-antenna signal detection in cognitive radio networks with multiple primary user signals

    Article • June 2014, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Yang Chen

  44. 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

  45. 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

  46. 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

  47. Characterizing the mutual information distribution of MIMO systems: Beyond the Gaussian approximation

    Article • November 2012, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Yang Chen

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

    Article • Nuclear Physics B, July 2012, Elsevier

    Professor Yang Chen, Professor Yang Chen

  49. 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

  50. 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

  51. Mutual information distribution of interference-limited MIMO: A joint Coulomb fluid and Painlevé based approach

    Article • November 2011, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Yang Chen

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

    Article • Nuclear Physics B, September 2011, Elsevier

    Professor Yang Chen, Professor Yang Chen

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

    Article • Journal of Approximation Theory, December 2010, Elsevier

    Professor Yang Chen, Professor Yang Chen

  54. 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

  55. Painlevé VI and the Unitary Jacobi Ensembles

    Article • Studies in Applied Mathematics, March 2010, Wiley

    Professor Yang Chen, Professor Yang Chen

  56. Hypergeometric origins of Diophantine properties associated with the Askey scheme

    Article • Proceedings of the American Mathematical Society, March 2010, American Mathematical Society (AMS)

    Professor Yang Chen

  57. 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

  58. 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

  59. 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

  60. Ladder operators for q-orthogonal polynomials

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

    Professor Yang Chen, Professor Yang Chen

  61. Toeplitz determinants from compatibility conditions

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

    Professor Yang Chen, Professor Yang Chen

  62. 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

  63. 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

  64. 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

  65. Perturbed Hankel determinants

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

    Professor Yang Chen, Professor Yang Chen

  66. Orthogonal polynomials with discontinuous weights

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

    Professor Yang Chen, Professor Yang Chen

  67. Smallest eigenvalues of Hankel matrices for exponential weights

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

    Professor Yang Chen, Professor Yang Chen

  68. The x-ray problem revisited

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

    Professor Yang Chen, Professor Yang Chen

  69. 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

  70. Small eigenvalues of large Hankel matrices: The indeterminate case

    Article • MATHEMATICA SCANDINAVICA, September 2002, Aarhus University Library

    Professor Yang Chen

  71. 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

  72. 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

  73. 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

  74. Determinants of Hankel Matrices

    Article • Journal of Functional Analysis, January 2001, Elsevier

    Professor Yang Chen, Professor Yang Chen

  75. q-Random Matrix Ensembles

    Article • January 2001, Springer Science + Business Media

    Professor Yang Chen

  76. 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

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

    Article • June 1999, American Physical Society (APS)

    Professor Yang Chen, Professor Yang Chen

  78. 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

  79. On a non-regular parametric integral III

    Article • Complex Variables Theory and Application An International Journal, December 1998, Taylor & Francis

    Professor Yang Chen

  80. 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

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

    Article • Advances in Applied Mathematics, February 1998, Elsevier

    Professor Yang Chen, Professor Yang Chen

  82. 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

  83. Hermitean Matrix Ensembles and Orthogonal Polynomials

    Article • Studies in Applied Mathematics, January 1998, Wiley

    Professor Yang Chen, Professor Yang Chen

  84. Density of zeros of some orthogonal polynomials

    Article • Methods and Applications of Analysis, January 1998, International Press of Boston

    Professor Yang Chen

  85. 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

  86. 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

  87. 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

  88. Some Indeterminate Moment Problems and Freud-Like Weights

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

    Professor Yang Chen, Professor Yang Chen

  89. 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

  90. 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

  91. 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

  92. 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

  93. 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

  94. 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

  95. 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

  96. Transitions in spectral statistics

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

    Professor Yang Chen, Professor Yang Chen

  97. 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

  98. 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

  99. 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

  100. 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

  101. New family of unitary random matrices

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

    Professor Yang Chen, Professor Yang Chen

  102. 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

  103. 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

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

    Article • September 1992, American Physical Society (APS)

    Professor Yang Chen, Professor Yang Chen

  105. 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

  106. X-ray response of the Luttinger model

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

    Professor Yang Chen, Professor Yang Chen

  107. 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

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

    Article • July 1992, American Physical Society (APS)

    Professor Yang Chen, Professor Yang Chen

  109. t-Jmodel in its normal state

    Article • January 1992, American Physical Society (APS)

    Professor Yang Chen, Professor Yang Chen

  110. On the normal state of the tJ model

    Article • Solid State Communications, November 1991, Elsevier

    Professor Yang Chen

  111. 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

  112. Holes in antiferromagnets: Pairing interaction

    Article • October 1990, American Physical Society (APS)

    Professor Yang Chen, Professor Yang Chen

  113. Holes in Heisenberg antiferromagnets

    Article • May 1990, American Physical Society (APS)

    Professor Yang Chen, Professor Yang Chen

  114. Degenerate spin-boson system

    Article • August 1989, American Physical Society (APS)

    Professor Yang Chen, Professor Yang Chen

  115. 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

  116. 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

  117. 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

  118. 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

  119. Self-Avoiding Walks on a Crumpled Fractal

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

    Professor Yang Chen, Professor Yang Chen

  120. Free energy of a macromolecule in a confined domain

    Article • May 1986, American Physical Society (APS)

    Professor Yang Chen, Professor Yang Chen

  121. Charged Spinning Mass field involving special functions.

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

    Professor Yang Chen, Professor Yang Chen