Yang CHEN 
Professor of Mathematics

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

Academic Qualification

  • Ph. D. in Physics, University of Massachusetts, USA (1987)

Senior Non-Resident Fellow of Chao Kuang Piu College


Liber Amicorum

Chang Jiang Scholarship Award Ceremony in Beijing

Random Matrix EurAsia 2022
(14-April—12 May 2022)

Organizing Committee:
Yang Chen (University of Macau)
Van Vu (Yale University)
Dong Wang (National University of Singapore)

There will be about 30 speakers. List not yet finalized. See the link below.


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


B.Sc. Courses

  1. Complex Analysis (MATB311)

M.Sc. Courses

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


Research Interests

  • Random Matrix Theory
  • Orthogonal Polynomials and Special Functions
  • Painleve Transcendents and Integrable Systems
  • Random Matrices Applied to Wireless Communications and Moduli Spaces in QCD
  • Asymptotic Theory of Large Random Matrices

Google Scholar


Research Gate





Founding Editor: Random Matrices: Theory and Applications


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 in Macau

  1. Zhang Yashan (Graduated, August 2017). Now Post-Doc, Beijing Univeristy.
  2. Ao Jian Yu (Graduated, August 2018). Now Post-Doc,  Shanghai Mathematics Research Institute.
  3. Min Chao (Graduated, May 2016). Now Assistant Professor, Hua Qiao Univeristy.
  4. Lyu Shulin (Graduated, July 2017). Now Research Fellow,  ZhongShan University (Zhu Hai Campus).
  5. Chen Min (Graduated, May 2016). Now Post-Doc,  Holon Institute, Israel.
  6. Zhu Mengkun (Graduated, 2018). Now Assistant Professor of Mathematics, Qi Lu University of Technogy (Shandong Science and Technology Institute)
  7. Chen Hong Mei, (Graduated, November 2018). Now Lecturer, Beijing Institute of Graphic Communications. Co-Supervisor, Galina Filipuk, Assistant Professor, Faculty of Mathematics, Informatics and Mechanics, Univeristy of Warsaw.
  8. Han Pengju (Graduated, September 2018). Now assistant Professor of Mathematics, Wuhan agriculture university.
  9. Zhan Longjun (Graduted, March 2019. Now Post-doc,  Fudan University).

Ongoing Ph.D. students at the University of Macau

  1. Hu Jie, (Current PhD Student, August 2018). Co-Supervisor, Galina Filipuk.
  2. Wang Dan (Current PhD student, August 2018).Co-Supervisor, Galina Filipuk.

Master supervision at the University of Macau

  1. Cao Man (2012–2014)
  2. Geng Si Hang (2012–2015)
  3. Huang Jun Lang (2017–2019)
  4. Deng Man Yao (2017–2019

Ph.D. Supervision at Imperial College

DKK Lee (1988), Cavendish Laboratory,
Dr Lee is currently Senior Lecturer in the Physics Department of Imperial College
SM Manning (1994), Imperial College.
S Bradley (2000), Imperial College, joint with Dr. Hewson
N Lawrence (2002), Imperial College
J Griffin (2004), Imperial College. Currently, Associate Professor and Associate Dean at the American University, Sharja
Nazmus Haq (2013), Imperial College

Master supervision at Imperial College

Kasper Eriksen (1995)
Cyrus Turani (2009)
Tao Gao (2010), Keti Suri (2010), Paul Dambricourt (2010).
Samuel Goldstein (2012), Yao Han (2012), Ji Chenhui (2012), Yang Tao (2012)

MSci Project supervision at Imperial College

Alexei Turturea (2001), Kais Dukes (2001)
Judith Escoda (2003)
Francesca Harris (2004)
Sarah Lobb (2005)
Neil Threadgold (2005).
Nazmus Haq (2007)
Saba Shafi (2008), Rezzi (2008).
Ari Knutti (2010).

Curriculum Vitae and Selected Publications

Please download my CV and List of Publications.

List of Publications (2012–2019)

  1. Chon-Fai Kam and Yang Chen, Non-Adiabatic Transitions in Parabolic and Super-Parabolic PT symmetric Non-Hermitian Systems in 1D Optical Waveguides. Annalen der Physik 18 January 2021, https://doi.org/10.1002/andp.202000349
  2. Dan Wang, Mengkun Zhu, Yang Chen,  “Orthogonal polynomials, bi-Confluent Heun equations and semi-classical weights,” JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS https://doi.org/10.1080/10236198.2020.1812595
  3. Yang Chen, Yunhu Wang, Manwai Yuen, Harmonic solutions and Weak solutions of two dimensional incompressible Euler equation with Coriolis force, 2020, preprint.
  4. Chao Min and Yang Chen, “Asymptotics of the Recurrence Coefficients of a Pollaczek-Jacobi type orthogonal polynomials and the associated Hankel Determinant,”  2020 preprint.
  5. Shulin Lyu, Yang Chen, “Gaussian Unitary Ensembles two jumps, PDES and the coupled Painleve II and Painleve IV systems“,  Stud Appl Math, 2020;1–21, accepted 24 September, 2020.
  6. Chao Min and Yang Chen, “Painleve VI, Painleve III,  and the Hankel Determinants associated with a degenerate Jacobi unitary ensembles,” 2020, pg. 1-16, Impact Factor 1.770, Q1.
  7. Mengkun Zhu, Yang Chen and Chuangzhong Li, “The smallest eigenvalues of large Hankel Matrices generated by the singularly perturbed Laguerre weight,” J. Math. Phys. 61, 073502 (2020).
  8. Dan Wang, Mengkun Zhu, Yang Chen,  Orthogonal polynomials with a semi-classical weight and their recurrence coefficient.
  9. ROI-Based Deep Learning Method for Variable Length License Plate Character Segmentation,” Dan Wang, Bingshu Wang, Yang Chen, conference paper. 2020.
  10. A degenerate Gaussian weight connected with Painleve equations and Heun equation” DOI: 10.1142/S201032632150049, Penju Han, Yang Chen, Accepted 24 September 2020.
  11. Shulin Lyu and Yang Chen,  Smallest Eigenvalue Distribution of the Jacobi Unitary Ensembles, Preprint.
  12. Dan Wang, Mengkun Zhu, Yang Chen, “On semi-classical orthogonal polynomials associated with a Freud-type Weight,” Math. Meth. Appl. Sci., 2020, page 1–19.  Imapct Factor: 1.533, Q2.
  13. Jie Hu, Anton Dzhamay, Yang Chen, Gap Probability Distribution of the Laguerre Unitary Ensembles ​and Discrete Painleve Equation, in Press, Impact Factor 2.11, Q1. 
  14. Shulin Lyu, Chao Min, Yang Chen , Asymptotic of the largest eigenvalue distribution of the Laguerre Unitary Ensemble, pre-print.
  15. Yang Chen, Galina Filipuk, Maria Neves de Rebocho, Non-linear difference equations for a modified Laguerre weight: Laguerre-Freud equations and asymptotic, Jaen Journal of Approximation, 11(1-2) (2019) 47–65.
  16. Chao Min and Yang Chen, Linear Statistics of random matrix ensembles at the spectrum edge associated with the Airy Kernal, Nuclear Phys. B (2019), , https://doi.org.10.1016/j.nuclphysb.2019.114836 Impact Factor: 3.185,  Q1.
  17. Gordon Blower and Yang Chen, On the determinant expansions of Hankel operators, Published in Concrete Operators, 2020, Concr. Oper. 7 (2020) 13-44.
  18. Jie Hu, Galinak Filipuk, Yang Chen, “Differential and Difference equation for orthogonal polynomials with hypergeometric weights and Backlund Transformation of the Sixth Painleve equations,” Random Matrices: Theory and Applications 21500129 (17 pages), September 7, 2020, WSPC/S2010-3263
  19. Chon-Fai Kam, Yang Chen, Analytical results for the dynamics of parabolic level-crossing model, Published in New Journal of Physics, 2020, Impact Factor: 4.177, Q1.
  20. Yang Chen, Galina Filipuk, Longjun Zhan, Orthogonal polynomials, asymptotics and Heun equations. 2019, Journal of Mathematical Physics, vol. 60 (2019) 11350-1 to 113501-34. Impact Factor 1.355, Q2.
  21. Chao Min, Yang Chen, Painleve XXXIV and the degenerate Laguerre Unitary ensembles, Accepted for publication, Random Matrices: Theory and Applications, 2019, Impact Factor: 0.909, Q3.
  22. Yang Chen, Jakub Sikorowski, Mengkun Zhu, Smallest eigenvalues of large Hankel matrices at critical point: Comparing a conjecture with parallelized computation, Applied mathematics and computation, 363 (2019) 124628–124646 Impact Factor: 3.092, Q1.
  23. Chao Min and Yang Chen, Painleve transcendents and the Hankel determinants generated by a discontinuous Gaussian weight, Math. Methods in Appl. Sci. 42 (2019) 301-321. Impact Factor 1.533, Q2.
  24. Mengkun Zhu, Niall Emmart, Y. Chen and C. Weems, The smallest eigenvalue of large Hankel matrices generated by a deformed Laguerre weight, Math. Methods in Appl. Sci.  42 (2019) 3272–3288. Impact Factor 1.533, Q2.
  25. Min Chen, Yang Chen and Engui Fan, The Riemann-Hilbert Analysis to the Pollaczeck-Jacobi type polynomials, Stud. Appl.  Math.  143 (2019) 42-80 Impact Factor 2.419, Q1.
  26. Min Chen, Yang Chen , Engui Fan, Critical edge behavior in the Laguerre unitary ensemble and the Painleve V transcdent, J. Math. Anal. Appl. 474 (2019) 572–511. Impact Factor 1.188, Q2
  27. Chao Min, Shulin Lyu, Yang Chen, Painleve III’ and the Hankel deerminant generated by a singularly perturbed Gaussian weight, Nucl. Physics B 936 (2018) 169–188 Impact Factor 3.185,  Q2
  28. Shulin Lyu, James Griffin and Y. Chen, The Hankel derterminant associated with a sigularly perturbed Laguerre unitary ensembles, J. Nonlinear Math. Phys., 26 (2019) 24-53. Impac Factor 1.056 , Q3.
  29. JLongzhun Zhan, Gordon Blower, Yang Chen, Megkun Zhu, Center of mass distribution of the Jacobi unitary ensembles: Painleve V, asymptotic expansions,  J. Math. Phys. 59 (2018) 103301-329. Impact Factor 1.355, Q2
  30. Mengkun Zhu, Yang Chen, On the properties of a deformed Freud weight, Random Matrices: Theory and Applications 8 (2019) 1950004, 36 pp. Impact Factor 0.909, Q3.
  31. A. Branquinho, Yang Chen, Galina Filipuk, M. N. Rebocho, A chracaterization theorem for semi-classical orthogonal polynomials on non-uniform lattice, Appl. Math. Comput. 334 (2018) 356–366. Impact Factor 3.092, Q1
  32. Mengkun Zhu, Yang Chen, Niall Emmart and C. Weems, The smallest eigenvalues of large Hankel matrices, Appl. Math. Comput. 34 (2018) 375–387. Impact Factor 3.092, Q1
  33. Hongmei Chen, Galina Filipuk, Yang Chen, Non-linear difference equations arising from the generalized Stieltjes-Wigert and $q-$ Laguerre weights, Math. Methods in Appl. Sci. 41(2018) 2442–2465. Impact Factor 1.533, Q2.
  34. Shulin Lyu, Yang Chen, Engui Fan, Asymptotic gap prabaility distributiosn of the Gaussian unitary and Jacobi unitary ensembles, Nucl. phys. B 926 (2018) 6390670. Impact Factor 3.185, Q2
  35. Hongmei Chen, Min Chen, Gordon Blower and Yang Chen, Single-User MIMO system, Painleve transcendants and double scaling, J. Math. Phys. Impact Factor 1.355, Q2.
  36. Chao Min, Yang Chen, Gap probability of the Jacobi unitary ensemble: An elementary treatment, from finite n to double scaling, Stu. Appl. Math. 140 (2018) 202-220. Impact Factor 2.419, Q1
  37. Hongmei Chen, Galina Filipuk, Yang Chen, Nonlinear difference equations for the generalized little a-Laguerre polynomials, J. Diff. Equa. Appl. 23 (2017) 1943–1973. Impact Factor  0.625, Q3
  38. P.J. Han, Yang Chen, The recurrence coefficients of a semi-classical Laguerre polynomials and the large n asymptotics of the associated Hankel determinant, Random Matrices: Theory and Applications, 6 (2017) 1740002, 20 pp. Impact Factor 0.909, Q3.
  39. Yang Chen, Engui Fan and M. W. Yuen, Explicitly self-similar solutions for the Euler/Navier-Stokes-Korteweg equation in $R^N$, Appl. Math. Lett. 67 (2017) 46–52 Impact Factor 2.462, Q1
  40. Shulin Lyu, Yang Chen, Exceptional solutions to the Painleve VI equation associated with the generalized Jacobi weight, Random Matrices: Theory and Applications, 6 (2017) 1750003, 31 pp. Impact Factor 0.909, Q3
  41. Shulin Lyu, Yang Chen, The largest eigenvalue distribution of Laguerre Unitary Ensembles, Acta Mathematica Scientia, 37 (2017) 439–462. Impact Factor 0.992, Q2
  42. Gordon Blower, Yang Chen, Kernels and point processes associated with Whittaker functions, J. Math. Phys. 57 (2016) 17 pp. Impact Factor: 1.355, Q2
  43. J. Xu, Engui Fan, Yang Chen, Large N-limit for random matrices with external source with three distinct eigenvalues, Random Matrices: Theory and Applications, 5 (2016) 1550005. Impact Factor: 0.909, Q3
  44. Chao Min, Yang Chen, On the variance of linear statistics of Hermitian random matrices, Acta Physica Polonica B 47 (2016) 1001-1020. Impat Factor 0.795, Q3
  45. Min Chen, Yang Chen Engui Fan, Perturbed Hankel Determinant, correlation functions and Painleve equations, J. Math. Phys. 57 (2016) 023501, 31 pp. Impact Factor 1.355, Q2.
  46. Chao Min, Yang Chen, Linear statistics of matrix ensembles in classical background, Math. Mthods in Appl. Sci., 39 (2016) 3758–3798 Impact Factor 1.533, Q2.
  47. Yang Chen, Engui Fan, M. W. Yuen, The Hopf-Cole transformation, topological solitons and multiple fusion solutions for the n-dimensional Burgers system, Phys. Lett. A 380(2016)9–14. Impact Factor: 2.087, Q2
  48. Yang Chen, J. Griffin, Deformed q^{-1} Laguerre polynomials, recurrence coefficients, and non-linear difference equations, Acta Physica Polonica B, 46 (2015) 1871–1881. Impact Factor 0.795, Q3
  49. E. Basor, Yang Chen, N. Haq, Asymptotics of Hankel determinants via non-linear difference equations, J. Approx. Theory, 168 (2015) 63–110. Impact Factor 0.921, Q1.
  50. Min Chen, Yang Chen, Singular Statistics of the Laguerre  unitary ensemble and Painleve III. Double scaling analysis, J. Math. Phys. 56 (2015) 063506, 14pp. Impact Factor 1,234, Q2
  51. D. M. Passemier, M. R. Mckay, Yang Chen, Hyergeomtric functions of matrix arguments and linear statistics of multi-spiked Hermitian matrix models, J. Multivariate Analysis, 139 (2015) 124–146. Impact Factor 0.857, Q3
  52. D. M. Pssemier,  M. R. Mckay, Yang Chen, Asymptotic linear spectral statistics for spiked Hermitian random matrix models, J. Stat. Phys. 160 (2015) 120-150. Impact Factor 1,537, Q2
  53. D. Morales-Jimenez, R. H. Louie, M. R. McKay, Yang Chen, Analysis and design of multiple antenna cognitive radios with multiple primary user signals, IEEE Trans. Signal Processing, 63 (2015) 4925–4939. Impact Factor 2.624, Q1.
  54. Niall Emmart, Yang Chen and C. Weems, Computing the smallest eigenvalues of ill-conditioned Hankel matrices, Commun. Comput. Phys. 18 (2015) 104-124. Impact Factor 3.635, Q1
  55. Estelle Basor, Yang Chen, Perturbed Laguerre unitary ensembles, Hankel determinants, and information theory, Math. Methods in Appl. Sci. 38 (2015) 4840–4851. Impact Factor 1.002, Q2
  56. Yang Chen, James Griffin, Nonlinear difference equations arising from a deformation from a deformation of the q^{-1} Laguerre weight, Indagationes Mathematicae, 26 (2015) 266–279 Impact Factor 0.846, Q2
  57. Min Chao, Yang Chen, and J.. Graffin, Continuous and discrete Painleve equations arising from the gap probability distribution of the finite n-Gaussian unitary ensembles, J. Stat. Phys. 157 (2014) 363–375, Impact Factor 1,202, Q3
  58. R. H. Louie, M. R. McKay and Yang Chen, Multiple-Antenna signal detection in cognitive radio networks with multiple primary user signals, IEEE ICC 2014-Wireless Communications Symposium (2014) 4951–4956
  59. P. Dharmawansa, M. R. McKay, Yang Chen, Distributions of Demmel and related condition numbers, SIAM Journal of matrix analysis and applications, 34 (2013) 257–279. Impact Factor1.590, Q1
  60. Yang Chen , N. Jokela, M. Jaervinen and N. Mekareeya, Moduli Space of supersymmetric QCD in the Veneziano limit, J. High Energy Physics, 2013, Issue 9 (2013) 38 pp. Impact Factor 6.111, Q1
  61. Shang Li, MR Mckay, Yang Chen, On the distributions of mutual information: An in-depth Painleve based characterization, IEEE Trans. Information Theory, 59 (2013) 5271–5296 Impact Factor 2.326, Q1
  62. Yang Chen, N. Haq, M. R. Mckay, Random matrix models, double-time Painleve equations, and wireless relaying, J. Math. Phys. 54 (2013) 55pp. Impact Factor: 1.355, Q2
  63. Yang Chen and M. R. McKay, Coulomb Fluid, Painleve transcendent, and information theory of MIMO systems, IEEE Trans. Information Theory, 58 (2012) 4594–4634 Impact Factor 2.326, Q1
  64. S. Li, M. R. Mckay, Yang Chen, Characterizing the mutual information distribution of MIMO Systems: Beyond the Gaussian approximation, Published in Conference Record of the Forty Sixth Asilomar (2012).
  65. Estelle Basor, Yang Chen and N. Mekareeya, The Hilbert Series of N=1 SO(N_c) and SP(N_c) SQCD, Painleve VI and integrable systems, Nucl. Physics B, 860 (2012) 421-463. Impact Factor 3.185, Q2
  66. D. Morales-Jimenez, R. H. Y. Louie, M. R. McKay, Y. Chen, Analysis and design of multiple-antenna cognitive radios with multiple primary user signals, IEEE Transactions on Signal Processing, volume 63 (2015) 4925–4939, Impact Factor 5.230, Q1.

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