Yang CHEN 
Professor of Mathematics

Academic Qualifications | Teaching | Research | Grant History | Curriculum Vitae and Selected Publications | Contact Details

Academic Qualifications

Senior Non-Resident Fellow of Chao Kuang Piu College

Chang Jiang Scholarship Award Ceremony in Beijing

PIZA meeting, in May 2018


Random Matrices, EurAsia

Random Matrices, EurAsia,
July 28-31, 2017, School of Mathematical Sciences,
Fudan University, Shanghai, PR China

Through the very generous support of the Faculty of Science and Technology of the University of Macau, Random Matrices EurAsia 2016 was launched at the University. Mathematicians, statisticians, mathematical physicist, from all over were invited and spoke at this meeting.

Prof Fan and I thought that it would be good idea to continue Random Matrices EurAsia 2017 at the School of Mathematical Science, Fudan University. The goal of Random Matrices, EurAsia is to put together experts in all fields of mathematicians, statisticians world-wide, and to promote academic communication and cooperation between Chinese mathematicians and overseas outstanding scholars.

The School of Mathematical Science (SMS) of Fudan University, one of the most distinguished and active institutions of mathematics in China. The SMS consists of five Departments, i.e., Departments of Pure Mathematics, Applied Mathematics, Information & Computing Sciences, Mathematical Finance & Control Theory, and Probability, Statistics and Actuarial Sciences, the Institute of Mathematics and Shanghai Center for Mathematical Sciences. Now, the SMS has approximately 100 permanent faculty members, among which 4 academicians of Chinese Academy of Sciences, 48 are professors and 40 are associate professors with broad research interests in the major fields of contemporary pure and applied mathematics.

Yang Chen,
University of Macau, Taipa, PR China.
Engui Fan
Fudan University, Shanghai, PR China

Workshop on Random Matrices, EurAsia-2017
Teaching

B.Sc. Courses

  1. Complex Analysis (MATB311)

M.Sc. Courses

  1. Topics in Matrix Analysis (IMAT018)
  2. Partial Differential Equations (MATH710)

Research

Research Interests

Google Scholar

http://scholar.google.co.uk/citations?user=q-LZZbwAAAAJ

Research Gate

https://www.researchgate.net/profile/Yang_Chen19

Journal

Founding Editor: Random Matrices: Theory and Applications

Employment

Lecturer, Reader and Professor of Mathematical Physics, Imperial College London, 1992--- 2012
Professor of Mathematics, University of Macau, 2012 ---


Grant History

Follow this link. http://gow.epsrc.ac.uk/ViewPerson.aspx?PersonId=21512.

Start Up Grant SRG020FST1213RCY, MOP 150,000.00, University of Macau, 2012.
Macau Science and Technology Foundation, MOP 1,259,750.00, 2012--2016, FDCT 077/2012/A3.
MYRG2014-00004-FST University of Macau, MOP 718,750, 2014-2017.
MYRG2014-00011-FST University of Macau, MOP 500,000, 2014-2017.
Macau Science and Technology Foundation, MOP 1,261,1500, 2015-2018, FDCT 130/2014/A3.
Macau Science and Technology Foundation, MOP , 734,400.00, FDCT 023/2017/A1, 2017--2020.

Student Supervision

Ph. D. supervision at the University of Macau

Master supervision at the University of Macau

Ph. D. Supervision at Imperial College

Master supervision at Imperial College

MSci Project supervision at Imperial College


Curriculum Vitae and Selected Publications

Please download my CV and List of Publications.

List of Publications

  1. "On properties of a deformed Freud weight," Mengkun Zhu and Yang Chen, Accepted for publication by Random Matrices: Theory and Applications, 2018.
  2. "A characterization theorem for semi-classical orthogonal polynomials on non-uniform lattices​,"  A. Branquinho, Y. Chen, G. Filipuk and M. N. Rebocho. Accepted for publications in Applied Mathematics and Computations, 2018.
  3. "The Smallest Eigenvalue of Large Hankel Matrices," Mengkun Zhu, Yang Chen, Niall Emmart and Charles Weems, Accepted for publication by Applied Mathematics and Computation, 2018.
  4. "Non-linear difference equations arising from the generalized Stieltjes-Wigert and q-Laguerre weights," Hongmei Chen, Galina Filipuk and Yang Chen, Mathematical Methods in the Applied Sciences, MMA4751, DOI:10.1002/MMA.4751, 36 pages
  5. "Asymptotic gap probability distributions of the Gaussian unitary ensembles and the Jacobi unitary ensembles," Shulin Lyu, Yang Chen, and Engui Fan. Accepted for publication by Nuclear Phsyics B [Field Theory and Statistical Systems] 30 November 2017. https://doi.org/10.1016/j.nuclearphysb2017.11.018, 32 pages.
  6. "Single-User MIMO System, Painlevé Transcendents and Double Scaling", Hong Mei Chen, Min Chen, Gordon Blower, and Yang Chen, Journal of Mathematical Physics, vol. 58 (2017) 123507, 24 pages.
  7. "Gap probability of the Jacobi Unitary Ensemble: An Elementary Treatment, from finite n to Double Scaling," Chao Min and Yang Chen, Studies in Applied Mathematics DOI:10.1111/sapm.12198, published online 2017.
  8. "Nonlinear difference equations for the generalized little q-Laguerre polynomials," Hongmei Chen, Galina Filipuk and Yang Chen (2017) Published online: Journal of Difference Equations and Applications, D0I:10.1080/10236198.2017.1380004, 31 pages.
  9. "The recurrence coefficients of a semi-classical Laguerre polynomials and the large n asymptotics of the associated Hankel deyerminant," Penju Han and Yang Chen Random Matrices: Theory and Applications, vol. 6 (2017) 1740002 (20 pages)
  10. "Exlicitly self-similar solutions for the Euler/Navier-Stokes-Korteweg equations in RN" Yang Chen, Engui Fan and Manwai Yuen, Applied Mathematics letters vol. 67 (2017) 46-52.
  11. "Exceptional solutions to the Painleve VI equation associated with the generalized Jacobi weight," Shulin Lyu and Yang Chen Random Matrices: Theory and Applications, vol. 6 (2017) 1750003 (31 pages).
  12. "The largest eigenvalue distribution of Laguerre Unitary ensembles," Shulin Lyu and Yang Chen. Acta Mathematica Scientia vol. 37 (2017) 439-462
  13. "Kernels and point processes associated with Whittaker functions," Gordon Blower and Yang Chen. Journal of Mathematical Physics, vol. 57 (2016) 17 pages
  14. "Large N-limit for random matrices with external source with three distinct eigenvalues," Jian Xu, Engui Fan, Yang Chen, Random Matrices: Theory and Applications, vol. 5 (2016) 1650005 (30 pages).
  15. "On the variance of linear statistics of Hermitian random matrices," Chao Min and Yang Chen, Acta Physica Polonica B, vol. 47 (2016), 1001-1020
  16. Min Chen, Yang Chen and Engui Fan, "Perturbed Hankel determinant, correlation fucntions and Painleve equations," J. Math. Phys. vol. 57, 023501 (2016), 31 pages; doi:10.1063/1.4939276
  17. Chao Min, Yang Chen, "Linear statistics of matrix ensembles in classical background," Mathematical Methods in the Applied Sciences, 36 pages. Version of Record online : 11 JAN 2016, DOI: 10.1002/mma.3824 In print, vol 39 (2016) 3758{3798.
  18. Yang Chen, Engui Fan, Manwai Yuen, "The Hopf-Cole transformation, topological solitons and multiple fusion solutions for the n-dimensional Burgers system," Physics Letters A, vol. 380 (2016) 9-14.
  19. Estelle Basor, Yang Chen and Nazmus Haq, "Asymptotics of determinants of Hankel matrices via non-linear difference equations," J. Approx. Theory, vol. 168, (2015) 63-110.
  20. Min Chen and Yang Chen, "Singular linear statistics of the Laguerre unitary ensemble and Painlevé III. Double scaling analysis", J. Math. Phys., vol. 56, 063506 (2015), 14 pages.
  21. Damien Passemier, Mathew R McKay and Yang Chen, "Hypergeometric functions of matrix arguments and linear statistics of multi-spiked Hermitian matrix models," J. Multivariate Analysis, vol. 139, (2015) 124-146.
  22. Damien Paasemier, Mathew R Mckay and Yang Chen, "Asymptotic linear spectral statistics for spiked Hermitian random matrix models," J. Stat. Physics, vol. 160, (2015) 120-150.
  23. D Morales-Jimenez, RHY Louie, MR Mckay, and Yang Chen, "Analysis and design of multiple-antenna cognitive radios with multiple primary user signals," IEEE Trans. on Signal Processing, vol. 63 (2015) 4925-4939.
  24. Niall Emmart, Yang Chen, Charles C Weem, "Computing the smallest eigenvalues of ill-conditioned Hankel matrices," Commun. Comput. Phys., Vol. 18, (2015) 104-124.
  25. Estelle Basor, Yang Chen, "Perturbed Laguerre unitary ensembles, Hankel determinants, and information theory," Mathematical Methods in the Applied Sciences, (wileyonlinelibrary.com) DOI: 10.1002/mma.3399 Published online 29/12/2014.
  26. Yang Chen, James Griffin, "Non linear difference equations arising from a deformation of the q-Laguerre weight," Indagationes Mathematicae, vol. 26, (2015) 266-279.
  27. Man Cao, Yang Chen and James Griffin, "Continuous and discrete Painlevé equations arising from the gap probability distribution of the nite n Guassian unitary ensembles," J. Stat. Phys., vol. 157, (2014) 363-375.
  28. P. Dharmawansa, Mathew R Mckay, Yang Chen, "Distributions of Demmel and related condition numbers," SIAM Journal on Matrix Analysis and Applications, vol. 34, (2013) 257-279.
  29. Yang Chen, Niko Jokela, Matti Jaervinen and N. Mekareeya, "Moduli space of supersymmetric QCD in the Veneziano limit," Journal of High Energy Physics, Issue 9, Published: Sep 24, 2013
  30. Shang Li, MR Mckay, Yang Chen, "On the distributions of mutual information: An in-depth Painleve based characterization," IEEE Transactions on Information Theory, vol. 59, (2013) 5271-5296.
  31. Yang Chen, Nazmus Haq and MR Mckay, "Random matrix models, double-time Painleve equations, and wireless relaying," Journal of Mathematical Physics, vol. 54, Issue 6, 55 pages. Published: June 2013.
  32. Yang Chen and Mathew R Mckay, "Coulomb Fluid, Painlevé transcendent, and Information Theory of MIMO systems," IEEE Transaction on Information Theory, vol. 58, (2012) 4594-4634.
  33. Estelle Basor, Yang Chen and Noppadol Mekareeya, "The Hilbert series of N = 1 SO(Nc) and SP(Nc) SQCD, Painlevé VI and Integrable Systems," Nuclear Physics B, vol. 860, (2012) 421-463.
  34. Estelle Basor, Yang Chen and Lun Zhang, "PDEs satisfied by extreme eigenvalues distributions of GUE and LUE," Random Matrices: Theory and Applications, vol. 1, 1150003 (2012), 21 pages.
  35. Yang Chen and Noppadol Mekareeya, "The Hilbert series of U=SU SQCD and Toeplitz determinants," Nuclear Physics B, vol. 850, (2011) 553-593.
  36. Yang Chen and MEH Ismail, "Hypergeometric origins of diophantine properties associated with the Askey scheme," Proceeding of the American Mathematical, vol. 138, (2010) 943-951.
  37. Yang Chen and AR Its, "Painlevé III and a singular linear statistics in Hermitian random matrix ensembles, I" Journal of Approximation Theory, vol. 162, (2010) 270-297.
  38. Yang Chen and Dan Dai, "Painlevé V and a Pollaczek-Jacobi type orthogonal polynomials" Journal of Approximation Theory, vol. 162 (2010) 2149-2167.
  39. Estelle Basor, Yang Chen and Torsten Ehrhardt, "Painlevé V and time-dependent Jacobi polynomials," J. Phys. A: Math. and Theory, vol. 43, 015204 (2010), 25 pages.
  40. Yang Chen and Lun Zhang, "Painlevé VI and the unitary Jacobi ensembles," Studies in Applied Mathematics, vol. 125, (2010) 91-112.
  41. Yang Chen, DZ Liu and DS Zhou, "Smallest eigenvalue distribution of the xed-trace Laguerre β-ensemble," J. Phys. A: Math. and Theoretical, vol. 43, 315303 (2010), 13 pages.
  42. Estelle Basor and Yang Chen, "Painlevé V and the distribution function of a discontinuous linear statistic in the Laguerre unitary ensembles," J. Phys. A: Math. and Theoretical, vol. 42, 035203 (2009), 18 pages.
  43. Yang Chen and AR Its, "A Riemann-Hilbert approach to the Akhiezer polynomials" Phil. Tran. of the Royal Soci. A: Math. Phys. Engi. Scie., vol. 366, (2008) 973-1003.
  44. Yang Chen and MEH Ismail, "Ladder operator for q-orthogonal polynomials," J. Math. Anal. Appl., vol. 345, (2008) 1-10.
  45. Estelle Basor and Yang Chen, "Toeplitz determinants from compatibility conditions" Ramanuian Journal, vol. 16, (2008) 25-40.
  46. Yang Chen, James Grin and MEH Ismail, "Generalizations of Chebyshev polynomials and polynomial mappings," Transactions of the American Mathematical Society, vol. 359, (2007) 4787-4828.
  47. Yang Chen and MV Feigin, "Painlevé IV and degenerate Gaussian unitary ensembles," J. Phys. A: Math. Gen., vol. 39, (2006) 12381-12393.
  48. Yang Chen and MEH Ismail, "Jacobi polynomials from compatibility conditions," Proc. Amer. Math. Soci., vol. 133, (2005) 465-472.
  49. Yang Chen and Gunnar Pruesner, "Orthogonal polynomials with discontinuous weights," J. Phys. A: Math. Gen., vol. 38, (2005) L191-L198.
  50. Estelle Basor and Yang Chen, "Perturbed Hankel determinants," J. Phys. A: Math. Gen., vol. 38, (2005) 10101-10106.
  51. Yang Chen and DS Lubinsky, "Smallest eigenvalues of Hankel matrices for exponential weights," J. Math. Anal. Appl., vol. 293, (2004) 476-495.
  52. Estelle Basor and Yang Chen, "A note on Wiener-Hopt determinants and the Borodin-Okounkov identity." Inte. Equa. Oper. Theo., vol. 45, (2003) 301-308.
  53. Estelle Basor and Yang Chen, "The X-ray problem revisited," J. Phys. A: Math. Gen., vol. 36, (2003) L175-L180.
  54. Yang Chen and Nigel Lawrence, "A generalization of the Chebyshev polynomials," J. Phys. A: Math. Gene., vol. 35, (2002) 4651-4699.
  55. Yang Chen and Tamara Grava, "Eigenvalue correlations on hyperelliptic Riemann surfaces," J. Phys. A: Math. Gen., vol. 35, (2002) L45-L49.
  56. Yang Chen and James Grin, "Krall-tpye polynomials via the Heine formula," J. Phys. A: Math. Gen., vol. 35, (2002) 637-656.
  57. Christian Berg, Yang Chen and MEH Ismail, "Small eigenvalues of large Hankel matrices: The indeterminate case," Mathematica Scandinavica, vol. 91, (2002) 67-81.
  58. Estelle Basor, Yang Chen and Harold Widom, "Determinants of Hankel matrices," J. Func. Anal., vol. 179, (2001) 214-234.
  59. C. Blecken, Yang Chen and KA Muttalib, "Parametric number variance of disordered systems in the multifractal regime," Wave. Rand. Media, vol. 9, (1999) 83-90.
  60. Yang Chen and Nigel Lawrence, "Small eigenvalues of large Hankel matrices," J. Phys. A: Math. Gen., vol. 32, (1999) 7305-7315.
  61. M. Steiner, Yang Chen, M. Fabrizio, and A. Gogolin, "Statistical properties of a localization delocalization transition in one dimension," Physical Review B, vol. 59, (1999) 14848-14851.
  62. Yang Chen and MEH Ismail, "Asymptotics of the largest zeros of the some orthogonal polynomials," J. Phys. A: Math. Gen., vol. 31, (1998) 5525-5544.
  63. Yang Chen and MEH Ismail, "Hermitean matrix ensembles and orthogonal polynomials," Stud. Appl. Math., vol. 100, (1998) 33-52.
  64. Yang Chen and Nigel Lawrence, "On the linear statistics of Hermitian random matrices," J. Phys. A: Math. Gen., vol. 31, (1998) 1141-1152.
  65. Yang Chen and MEH Ismail, "Some indeterminate moment problems and Freudlike weights," Constructive Approximation,vol. 14, (1998) 439-458.
  66. Yang Chen and MEH Ismail and Walter Van Assche, "Tau-function constructions of the recurrence coefficients of orthogonal polynomials," Adv. Appl. Math., vol. 20, (1998) 141-168.
  67. Yang Chen and WK Hayman, "On a non-regular parametric Integral, II" Complex variable: Theory and Applications, vol. 37 (1998) 113-122.
  68. Yang Chen and Nigel Lawrence, "Density of zeros of some orthogonal polynomials," Methods and Applications of Analysis, Vol. 5 (1998) 367{386
  69. Yang Chen and MEH Ismail, "Asymptotics of extreme zeros of the Meixner-Pollaczek polynomials," J. Comp. Appl. Math., vol. 82, (1997) 59-78.
  70. Yang Chen and MEH Ismail, "Ladder operators and di erential equations for orthogonal polynomials," J. Phys. A: Math. Gen., vol. 30, (1997) 7817-7829.
  71. Yang Chen and MEH Ismail, "Thermodynamic relations of the Hermitian matrix ensembles," J. Phys. A: Math. Gen., vol. 30, (1997) 6633-6654.
  72. KA Muttalib and Yang Chen, "Distribution function for short noise in Wigner-Dyson ensembles," Int. J. Mod. Phys. B, vol. 10, (1996) 1999-2006.
  73. Yang Chen and SM Manning, "Gap probability of a one-dimensional gas model," Int. J. Mod. Phys. B, vol. 10, (1996) 1989-1997.
  74. Yang Chen and SM Manning, "Some eigenvalue distribution functions of the Laguerre ensemble," J. Phys. A: Math. Gen., vol. 29, (1996) 7561-7579.
  75. Yang Chen and KJ Eriksen, "Gap formation probability of the -ensemble," Int. J. Mod. Phys. B, vol. 9, (1995) 1205-1225.
  76. Yang Chen, KJ Eriksen and CA Tracy, "Largest eigenvalue distribution in the double scaling limit of matrix models: A coulomb fluid approach," J. Phys. A: Math. Gen., vol. 28, (1995) L207-L211.
  77. KJ Eriksen and Yang Chen, "Universal parametric correlations of eigenvalues of random matrix ensembles," J. Phys. A: Math. Gen., vol. 28, (1995) 1627-1640.
  78. Yang Chen and KA Muttalib, "A corssover from Fermi-Liquid to non Fermi-Liquid behavior in a solvable one dimensional model," J. Phys.: Cond. Matt., vol. 21, (1994) L293-L297.
  79. Yang Chen and SM Manning, "Asymptotic level spacing of the Laguerre ensemble: A coulomb uid approach," J. Phys. A: Math. Gen. vol. 27, (1994) 3615-3620.
  80. Yang Chen, MEH Ismail and KA Muttalib, "Asymptotics of basic Bessel functions and q-Laguerre polynomials," J. Comp. Appl. Math., vol. 54, (1994) 263-272.
  81. Yang Chen and SM Manning, "Distribution of linear statistics in random matrix models," J. Phys.: Cond. Matt., vol. 6, (1994) 3039-3044.
  82. C Belcken, Yang Chen and KA Muttalib, "Transitions in spectral statistics," J. Phys. A: Math. Gen., vol. 27, (1994) L563-L586.
  83. Yang Chen and HJ Jensen, "Vortices on rail road tracks: A possible realization of a random matrix ensemble," J. Phys.: Cond. Matt., vol. 6, (1994) 5197-5200.
  84. SM Manning and Yang Chen, "Gauge theoretic approach to the electromagnetic response of the high temperature superconductors," J. Phys.: Cond. Matt., vol. 5, (1993) 6253-6262.
  85. Yang Chen, MEH Ismail and KA Muttalib, "Metallic and insulating behavior in an exactly solvable random matrix model," J. Phys.: Cond. Matt., vol. 5, (1993) 177-190.
  86. KA Muttalib, Yang Chen, MEH Ismail, VN Nicopoulos "New family of unitary random matrices," Physical Review Letters, vol. 71, (1993) 471-475.
  87. SM Manning and Yang Chen, "The Hall e ect in the normal state of the T-J model," J. Phys.: Cond. Matt., vol. 5, (1993) L23-L28.
  88. Yang Chen, MEH Ismail and KA Muttalib, "A solvable random matrix model for disordered conductors," J. Phys.: Cond. Matt., vol. 4, (1992) L417-L423.
  89. Yang Chen, D Forster and A Larkin, "Electrons in the T-J model as bounded states of spinons and holons," Physical Review B, vol. 46, (1992) 5370-5376.
  90. Yang Chen and DKK Lee, "Momentum distribution of electrons in the T-J model," J. Phys.: Cond. Matt., vol. 4, (1992) L461-L466.
  91. Yang Chen and D Forster, "T-J model in its normal state," Physical Review B, vol. 45, (1992) 938-944.
  92. DKK Lee and Yang Chen, "X-ray response of the Luttinger model," Physical Review Letters, vol. 69, (1992) 1399-1402.
  93. Yang Chen and J Kroha, "X-Ray-Photoemission spectra of impure simple metals," Physical Review B, vol. 46, (1992) 1332-1337.
  94. Yang Chen and D Forster, "On the normal state of the T-J model," Solid state Comm., vol. 80, (1991) 353-357.
  95. Yang Chen and NV Prokofev, "Classical mechanics at T = 0: Mobility of negative-ion in He-3," Physical Review Letters, vol. 65, (1990) 1761-1764.
  96. Yang Chen, "Holes in anti-ferromagnets: Pairing interaction," Physical Review B, vol. 42, (1990) 6769-6772.
  97. Yang Chen, "Holes in Heisenberg anti-ferromagnets," Physical Review B, vol. 41, (1990) 9495-9498.
  98. Yang Chen and TC Li, "Degenerate spin-Boson system," Physical Review B, vol. 40, (1989) 2712-2715.
  99. Yang Chen and RA Guyer, "A polymer in fractal pore space," J. Phys. A: Math. Gen., vol 21, (1988) 4173-4181.
  100. DKK Lee and Yang Chen, "Functional bosonization of the Tomonaga-Luttinger model," J. Phys. A: Math. Gen., vol. 21, (1988) 4155-4171.
  101. Yang Chen, DKK Lee and MU Luchini, "Functional integral approach to an exactly soluble one dimensional electron photo system," Physical Review B, vol. 38, (1988) 8497-8500.
  102. SF Edwards and Yang Chen, "The statistics of polymers on rough surfaces," J. Phys. A: Math. Gen., vol. 21, (1988) 2963-2969.
  103. Yang Chen and AL Kholodenko, "Size of a polyelectrolyte chain in solution containing counter-ions," Journal of Chemical Physics, vol. 86, (1987) 1540-1541.
  104. Yang Chen and M Muthukumar, "Free energy of a macromolecule in a con ned domain," Physical Reviews B, vol. 33, (1986) 6187-6190.
  105. Yang Chen and RA Guyer, "Self-avoiding walks on a crumpled fractal," Physical Review Letters, vol. 57, (1986) 3121.
  106. Yang Chen, DS Guo and FJ Ernst, "Charged spinning mass eld involving rational functions," J. Math. Phys., vol. 24, (1983) 1564-1567.

Refereed papers from Conference Proceedings and Workshops

  1. Basor, E. L., Chen, Y. and Widom, H., "Hankel Determinants as Fredholm Determinants", in "Random Matrix Models and Their Applications", MSRI Publications 40 (2001) 21--29, Bleher, P. and Its, A. R. eds. (Cambridge University Press).
  2. Muttalib, K. A., Chen, Y. and Ismail, M., "q-Random Matrix Ensembles", in "Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics", Gainesville, Florida, 1999. Development in Mathematics 4 (2001) 199--221.

Conference Paper

  1. Shang Li, Yang Chen and Mathew R. Mckay , "Mutual Information Distribution of Interference-limited MIMO: A Joint Coulomb Fluid and Painleve Based Approach", 2011 Conference Record of the Forty Fifth Asilomar Conference on Signals, Systems and Computers.

Contact Details

Faculty of Science and Technology
University of Macau, E11
Avenida da Universidade, Taipa,
Macau, China

Room: E11-3071
Telephone: (853) 8822-8546
Fax: (853) 8822-2426
Email: yayangchen