Curriculum Vitae Professor Yang Chen

Name Yang CHEN Date of Birth 4th April 1957 Citizenship Republic of Singapore Place of Employment Faculty of Science and Technology Department of Mathematics, University of Macau, Av. Padre Toma`sPereira, Taipa Macau, China Email Address [email protected] [email protected]

Daytime Phone Number +853-8397-8564 Mobile Phone Number +853-6698-0014 Title of Current Appointment Professor of Mathematics, University of Macau, Macau, China Period of Job Experience in UM: 2012 August to Present.

Complete List of Publications http://scholar.google.co.uk/citations?user=q-LZZbwAAAAJ https : //www.researchgate.net/proﬁle/Yang underscore Chen19

Higher Education

B. Sc. (Physics) National University of Singapore (1978-1981)

M. Sc. (Physics) Illinois Institute of Technology (1981-1983)

Ph. D. (Physics) University of Massachusetts, Amherst (1983-1987)

1 Past Appointments Lecturer, Reader and Professor (Personal Chair) of Mathematical Physics at Imperial College London (Feb. 1992—Aug. 2012 ). Scientific Co-worker the Max-Planck-Institut fürFestkörperforschung with Professor Konstantin Efetov (Jan. 1991—Feb. 1992). Visiting Scholar at Trinity College Cambridge University (Dec. 1989—Jan.1990) Post-Doctoral Research with Professor Peter Wölfleat the Institut fürTheorie der Kon- densierten Materie UniversitätKarlsruhe-Germany (Feb. 1989—Jan.1990) Visiting Scientist (Consultant) at the University of Florida-Gainesville (Nov. 1988—Feb. 1989 and other occasions during the 1990’s.) Post-Doctoral Research with Professor Sir Sam Edwards at the Cavendish Laboratory (Oct. 1986—Nov. 1988) Research Assistantship at the Department of Physics, University of Massachusetts-Amherst (1983-1986) Research Assistantship at the Department of Physics, the Illinois Institute of Technology (1981-1983) Infantry Section Commander, Singapore Armed Forces (1975-1978).

Honors and Awards Fellow, Institute of Physics (UK) 2005–2012 Chang Jiang Chair Professorship awarded by the Ministry of Education, China 2005— 2006. Honorary Fellow, Department of Mathematics, University of Wisconsin-Madison, 2002. Invited by Professor Richard Askey. Visiting Scholar, Stanford University, April 2009. Research Membership MSRI programme on Random Matrices and Interacting Particle Systems, August–October 2010. Invited Talks (A Selection)

Invited Speaker at “Trends in Computational Mathematics”, City University of Hong Kong, January 18 to 20, 2016. Invited Speaker at “Master Lecture Workshop in Mathematics/Prof. Horng-Tzer Tau” at TSIMF in Sanya, China, December 27–30, 2015. Invited Speaker, at the Steklov Institute, Moscow, Russia, 22-23 December 2015, Confer- ence in Memorium of Academician A. A. Gonchar. Invited Speaker, at the Kavli Institute of Theoretical Physics China, Beijing, 19-August, 2015, Conference in memory of Sir Sam Edwards. Invited Talks, Academy of Science, Mathematics Section (at National Taiwan University); Department of Mathematics, Soochow University; Department of Applied Mathematics, National Zhong Shang University, Taiwan, 16 June to 23 June 2015.

2 Invited Speaker, 13th International Symposium on Orthogonal Polynomials, Special Func- tions a Applications (OPSFA-13), (01-June to 05-June 2015), NIST, USA. Invited Speaker, Mourad Ismail’s 70 birthday celebration, University of Central Florida, USA. (10 May to 12 May 2015). Did not attend. Invited Speaker, Workshop on Stochastic Processes In Random Media (4 May to 9 May 2015), National University of Singapore. Invited Speaker, in honor of the 70th birthday of Mourad Ismail, Shanghai Jiao Tong University, Shanghai, China, 16-Oct. to 22-Oct. 2014. Invited Speaker, “Random Matrix Theory: Foundations and Applications”, Jagiellonian University, Cracow, Poland, July 1 to July 6 2014. Invited Speaker, mini symposium on Toeplitz matrices and operators (ILAS 2014), Aug. 6—9, 2014, Seoul, South Korea. Invited Speaker, Conference in Honor of the 90th Birthday of Freeman Dyson, August 26 to August 29, 2013, Institute for Advanced Study, Nanyang Technological University. Invited Speaker, Advanced School/Workshop on Random Matrices and Growth Models, The Abdus Salam International Centre for Theoretical Physics, 02–13 September 2013, Trieste, Italy Banﬀ International Research Station, 12w5015, “Integrable systems, growth processes and KPZ Universality,” in Honor of Harold Widom’s 80th Birthday, 23-09-2012 to 28-09-2012 Semi-Plenary Speaker, FoCM 2011, Budapest, Hungary. Workshop C5, Random matrix theory, computations and applications. Speaker, Workshop on Random Matrices, Brunel University. (17-12-2010–18-12-2010). Speaker, Integrable Day, University of Loughborough. (26-11-2010) Speaker, Random Matrix Theory and Its Applications 1. MSRI. (13-09-2010–17-9-2010). Keynote Speaker International Conference on Computational and Mathematical Methods in Science and Engineering Almeria, Spain (June 2010) Mathematical Physics Seminars The Open University, Milton Keynes. (February 2010). Mathematical Physics Seminars Loughborough University (February 2009). Mathematics Seminars University of Kent at Canterbury (September 2009). European Consortium For Mathematics In Industry (2008), mini-symposium in Asymp- totic Analysis and Applications (June 2008). CRM Thematic year 2008–2009, Random Matrices, Related Topics and Applications (August 2008) Workshop on Orthogonal Polynomials, dedicated to Walter Van Assche’s 50th Birthday (May 2008) Applied Mathematics Seminar, Glasgow University (Jan. 2008). Center for Advanced Study, Tsinghua University (Dec. 2007). Invited participant and speaker at the workshop The Riemann-Hilbert Problem and Toeplitz Operators, International Center for Mathematical Sciences, Heriot Watt University, Ed- inburgh (Sept. 2007). Beijing University (Jul. 2007). Fudan University (Jul. 2007).

3 Plenary Lecture. International Conference on Numerical Analysis and Applied Mathe- matics 2006. Oﬃcial Conference of the European Society of Computational Methods in Science and Engineering (ESCMSE). Invited participant and speaker at the Joint meeting of the Chinese Society of Probability and Statistics (Jul.2005). AMS Special Session Speaker, Atlanta, Georgia (Jan. 2005). Applied Mathematics Seminar, University of Edinburgh (June 2003). Random Matrices and Its Applications. One week workshop at MSRI, Berkeley, in honor of Harold Widom’s 70th birthday. Session Chair. Participants include Freeman Dyson and Andrei Okounkov (Sept. 2002). Analysis Seminar, Georgia Institute of Technologies (Jul. 2002). “On the Akhiezer polynomials” Invited Lecture delivered at the London Mathematical Society Invited Lecture Series 2002, Leeds University (June 2002). Invited participant and speaker at the Isaac Newton Institute programme Strongly corre- lated electron systems. (May 2000). AMS Summer Conference q- Series, Combinatorics and Computer Algebra, Mount Holyoke College (June 1998). VIII symposium sobre polinomios ortogonales y aplicaciones, Sevilla Spain (Sept.1997). AMS/IMS Joint Summer Research Conferences on “Random Matrices, Statistical Me- chanics and Painleve Transcendents” at Mount Holyoke College (June 1996). Invited Lectures A series of Lectures on Random Matrix Theory, Fudan University (Sept. 2008) A series of Lectures on Random Matrix Theory, Hong Kong University of Science and Technology (Sept. 2009).

Professional and Administrative Activities Professional Referee for

Constructive Approximation

Indagationes Mathematicae

Inventiones Mathematicae

Journal of Approximation Theory

The Ramanujan Journal

Journal of Computational and Applied Mathematics

Journal of Physics A: Mathematical and Theoretical

Journal Physics: Condensed Matter

4 Physical Review B

Physical Review E

Physical Review Letter

Physics Letter A

External referee Promotion Committees: University of California-Santa Cruz; University of Arizona-Tucson. Engineering and Physical Science Research Council (EPSRC) Senior Research Fellowship Committee. EPSRC Advanced Fellowship Committee. EPSRC Research grant applications. The Nuﬃeld Foundation’s Scholarship Committee. For the President of the London Mathematical Society’s Junior Whitehead Prize Com- mittee. Appraisal on Freeman Dyson as requested by the President of the LMS on Dyson’s election as Honorary Fellow of the LMS. Advisory Board, Journal of Physics A (2005—2007). International Advisory Board, ISCM-EPMESC (2009). Editorial Board, International Journal of Diﬀerential Equations (2009—). Editorial Board, Bulletin of the Korean Mathematical Society (2009–2012) External Reviewer King Fhad University of Petroleum and Minerals (2009—). External evaluator of research proposals for Greece invited by the Deputy Minister for Education, Greece (2010—).

Editorial Founding Editor and Co-Editor-In-Chief, a Journal dedicated to Random Matrices. Random matrices: Theory and Applications, published by the World Scientiﬁc Publication Company. http://www.worldscinet.com/rmta/

Organization Random Matrices EurAsia 2016: A workshop, from 08 July to 10 July, to be held at the University of Macau. I am the Organizer; there will be around 30 speakers. The 10th ISAAC Conference 2015-Aug. 02 to Aug. 07, held in Macau. I am the session organizer on Random Matrices. Fellowship Committee (Chair) XIII International Congress of Mathematical Physics (1999- 2000).

5 Co-Chair with Z. D. Bai of the National University of Singapore and Y. C. Liang of A2Star a research programme in Random Matrix Theory and Its Applications, at the Institute of Mathematical Sciences (Singapore) (Feb. 2006—Mar. 2006). Random Matrix Theory II at the Institute for Mathematical Sciences, National University of Singapore in 18-June to 15-August 2012. Co-organizers, Y.C. Liang and Z.D. Bai. Network European Network In Geometry, Mathematical Physics and Applications(ENIGMA) Contract number:MRTN-CT-2004-5652.

6 Academic Visitors Richard Askey, Estelle Basor, Mourad Ismail, Alexander Its, Craig Tracy, Walter Van Ass- che, Pierre Van Moerbeke, Tamara Grava, Harold Widom, Lun Zhang (Fudan), Enqui Fan (Fudan), Damien Passemier (HKUST), Mathew McKay (HKUST), Ao Yang (Academy of Science of China).

Administrative Duties at Imperial College Post Graduate Coordinator: Mathematical Physics (1992—1995). Staﬀ-Student Committee (1995—1998). Departmental Library Committee (1995—2000). Chapman Fellowship Interview Panel: Pure Mathematics (2003). Chapman Fellowship Interview Panel: Applied Mathematics (2007) Imperial College Library Staﬀ Review (2003).

Administrative Duties at The University of Macau M.Sc. and Ph. D. students recruitment committee. Writing the Strategic and Academic Statement on the Future Direction of the Mathemat- ics Department. Ph. D. and Master Thesis defense committee. Promotion and Appraisal Committee, which concern Promotion of Junior Faculty and extension of Senior Faculty employment.

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. Research Grant Awarded by FDCT—Macau SAR Funding Agency, MOP 1,259,750.00, 2012, FDCT 077/2012/A3. MYRG2014-00004-FST Awarded by the University of Macau, MOP 718,750.00, 2014–. MYRG2014-00011-FST Awarded by the University of Macau, MOP 500,000.00, 2014–. Research Grant Awarded by FDCT—Macau SAR Funding Agency, MOP 1,261,500.00, 2015, FDCT 130/2014/A3. Ph. D. supervision in UK

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

7 Nazmus Haq (2013), Imperial College

Ph. D. supervisions in Macau

Min Chao (Graduated, May 2016), University of Macau

Lv Shulin (2013—), University of Macau

Chen Min (Graduated, May 2016), University of Macau

Chen Hongmei (2014—), University of Macau

Han Pengju (incoming Ph. D. student, 2016)

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)

Master supervision at the University of Macau Cao Man graduated 2014. Geng Si Hang, graduated 2015. Chu Ion Sang, starting 2015.

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).

8 List of Referees

Colin Atkinson, Fellow of the Royal Society, Professor Emeritus, Department of Mathe- matics, Imperial College London. [email protected]

Estelle Basor, Deputy Director, American Institute of Mathematics. [email protected] Walter Hayman, Fellow of the Royal Society, Professor Emeritus, Department of Mathematics, Imperial College London. Please con- tact Rusudan Svanidze, [email protected] for Professor Hayman. Craig Tracy, Distinguished Professor of Mathematics, University of California-Davis. [email protected]

Pierre Van Moerbeke, Professor of Mathematics, University of Leuven, Belgium. [email protected]

Harold Widom, Professor Emeritus, University of California, Santa-Cruz. [email protected]

9 List of Publications 92. “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).

91. “On the variance of linear statistics of Hermitian random matrices,” Chao Min and Yang Chen, Acta Physica Polonica B, vol. 47 (2016), 1001-1020

90. 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

89. Chao Min, Yang Chen, “Linear statistics of matrix ensembles in classical background,” Mathematical Methods in the Applied Sciences, 36 pages. Accepted for Publication, 09-12-2015.

88. 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. Accepted for publication, 21-09-2015.

87. 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.

86. Min Chen and Yang Chen, “Singular linear statistics of the Laguerre unitary ensemble and Painlev´eIII. Double s- caling analysis”, J. Math. Phys., vol. 56, 063506 (2015), 14 pages.

85. 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.

84. 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.

83. D Morales-Jimenez, RHY Louie, MR Mckay, and Yang Chen, “Analysis and design of multiple-antenna cognitive radios with multiple primary user sig nals,”

10 IEEE Trans. on Signal Processing, vol. 63 (2015) 4925–4939.

82. Niall Emmart, Yang Chen, Charles C Weem, “Computing the smallest eigenvalues of ill-conditioned Hankel matrices,” Commun. Comput. Phys., Vol. 18, (2015) 104-124.

81. Estelle Basor, Yang Chen, “Perturbed Laguerre unitary ensembles, Hankel determinants, and information theory,” Mathematical Methods in the Applied Sciences, (wileyonlinelibrary.com) DOI: 10.1002/m- ma.3399 Published online 29/12/2014.

80. Yang Chen, James Griﬃn, “Non linear diﬀerence equations arising from a deformation of the q-Laguerre weight,” Indagationes Mathematicae, vol. 26, (2015) 266-279.

79. Man Cao, Yang Chen and James Griffin, “Continuous and discrete Painlevéequations arising from the gap probability distribution of the finite n Guassian unitary ensembles,” J. Stat. Phys., vol. 157, (2014) 363-375.

78. 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.

77. 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

76. Shang Li, MR Mckay, Yang Chen, “On the distributions of mutual information: An in-depth Painleve based characteriza- tion,” IEEE Transactions on Information Theory, vol. 59, (2013) 5271-5296.

75. 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.

74. Yang Chen and Mathew R Mckay, ”Coulomb Fluid, Painlev´etranscendent, and Information Theory of MIMO systems,” IEEE Transaction on Information Theory, vol. 58, (2012) 4594-4634.

73. Estelle Basor, Yang Chen and Noppadol Mekareeya, “The Hilbert series of N = 1 SO(Nc) and SP (Nc) SQCD, Painlev´eVI and Integrable Systems,” Nuclear Physics B, vol. 860, (2012) 421-463.

72. 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.

11 71. Yang Chen and Noppadol Mekareeya, “The Hilbert series of U/SU SQCD and Toeplitz determinants,” Nuclear Physics B, vol. 850, (2011) 553-593.

70. 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.

69. Yang Chen and AR Its, “Painlev´eIII and a singular linear statistics in Hermitian random matrix ensembles, 1” Journal of Approximation Theory, vol. 162, (2010) 270-297.

68. Yang Chen and Dan Dai, “Painlev´eV and a Pollaczek-Jacobi type orthogonal polynomials” Journal of Approximation Theory, vol. 162 (2010) 2149-2167.

67. Estelle Basor, Yang Chen and Torsten Ehrhardt, “Painlev´eV and time-dependent Jacobi polynomials,” J. Phys. A: Math. and Theory, vol. 43, 015204 (2010), 25 pages.

66. Yang Chen and Lun Zhang, “Painlev´eVI and the unitary Jacobi ensembles,” Studies in Applied Mathematics, vol. 125, (2010) 91-112.

65. Yang Chen, DZ Liu and DS Zhou, “Smallest eigenvalue distribution of the ﬁxed-trace Laguerre β-ensemble,” J. Phys. A: Math. and Theoretical, vol. 43, 315303 (2010), 13 pages.

64. Estelle Basor and Yang Chen, “Painlev´eV 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.

63. 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.

62. Yang Chen and MEH Ismail, “Ladder operator for q-orthogonal polynomials,” J. Math. Anal. Appl., vol. 345, (2008) 1-10.

61. Estelle Basor and Yang Chen, “Toeplitz determinants from compatibility conditions” Ramanuian Journal, vol. 16, (2008) 25-40.

60. Yang Chen, James Griﬃn and MEH Ismail,

12 “Generalizations of Chebyshev polynomials and polynomial mappings,” Transactions of the American Mathematical Society, vol. 359, (2007) 4787-4828.

59. Yang Chen and MV Feigin, “Painlev´eIV and degenerate Gaussian unitary ensembles,” J. Phys. A: Math. Gen., vol. 39, (2006) 12381-12393.

58. Yang Chen and MEH Ismail, “Jacobi polynomials from compatibility conditions,” Proc. Amer. Math. Soci., vol. 133, (2005) 465-472.

57. Yang Chen and Gunnar Pruesner, “Orthogonal polynomials with discontinuous weights,” J. Phys. A: Math. Gen., vol. 38, (2005) L191-L198.

56. Estelle Basor and Yang Chen, “Perturbed Hankel determinants,” J. Phys. A: Math. Gen., vol. 38, (2005) 10101-10106.

55. Yang Chen and DS Lubinsky, “Smallest eigenvalues of Hankel matrices for exponential weights,” J. Math. Anal. Appl., vol. 293, (2004) 476-495.

54. 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.

52. Yang Chen and Nigel Lawrence, “A generalization of the Chebyshev polynomials,” J. Phys. A: Math. Gene., vol. 35, (2002) 4651-4699.

51. Yang Chen and Tamara Grava, “Eigenvalue correlations on hyperelliptic Riemann surfaces,” J. Phys. A: Math. Gen., vol. 35, (2002) L45-L49.

50. Yang Chen and James Griﬃn, “Krall-tpye polynomials via the Heine formula,” J. Phys. A: Math. Gen., vol. 35, (2002) 637-656.

49. Christian Berg, Yang Chen and MEH Ismail, “Small eigenvalues of large Hankel matrices: The indeterminate case,” Mathematica Scandinavica, vol. 91, (2002) 67-81.

13 48. Estelle Basor, Yang Chen and Harold Widom, “Determinants of Hankel matrices,” J. Func. Anal., vol. 179, (2001) 214-234.

47. 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.

46. Yang Chen and Nigel Lawrence, “Small eigenvalues of large Hankel matrices,” J. Phys. A: Math. Gen., vol. 32, (1999) 7305-7315.

45. 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.

44. 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.

43. Yang Chen and MEH Ismail, “Hermitean matrix ensembles and orthogonal polynomials,” Stud. Appl. Math., vol. 100, (1998) 33-52.

42. Yang Chen and Nigel Lawrence, “On the linear statistics of Hermitian random matrices,” J. Phys. A: Math. Gen., vol. 31, (1998) 1141-1152.

41. Yang Chen and MEH Ismail, “Some indeterminate moment problems and Freudlike weights,” Constructive Approxi- mation,vol. 14, (1998) 439-458.

40. 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.

39. Yang Chen and Nigel Lawrence, “Density of zeros of some orthogonal polynomials, ” Methods and Applications of Analysis, Vol. 5 (1998) 367–386

38. Yang Chen and MEH Ismail, “Asymptotics of extreme zeros of the Meixner-Pollaczek polynomials,” J. Comp. Appl. Math., vol. 82, (1997) 59-78.

37. Yang Chen and MEH Ismail, “Ladder operators and diﬀerential equations for orthogonal polynomials,”

14 J. Phys. A: Math. Gen., vol. 30, (1997) 7817-7829.

36. Yang Chen and MEH Ismail, “Thermodynamic relations of the Hermitian matrix ensembles,” J. Phys. A: Math. Gen., vol. 30, (1997) 6633-6654.

35. KA Muttalib and Yang Chen, “Distribution function for short noise in Wigner-Dyson ensembles,” Int. J. Mod. Phys. B, vol. 10, (1996) 1999-2006.

34. Yang Chen and SM Manning, “Gap probability of a one-dimensional gas model,” Int. J. Mod. Phys. B, vol. 10, (1996) 1989-1997.

33. Yang Chen and SM Manning, “Some eigenvalue distribution functions of the Laguerre ensemble,” J. Phys. A: Math. Gen., vol. 29, (1996) 7561-7579.

32. Yang Chen and KJ Eriksen, “Gap formation probability of the α-ensemble,” Int. J. Mod. Phys. B, vol. 9, (1995) 1205-1225.

31. 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.

30. KJ Eriksen and Yang Chen, “Universal parametric correlations of eigenvalues of random matrix ensembles,” J. Phys. A: Math. Gen., vol. 28, (1995) 1627-1640.

29. 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.

28. Yang Chen and SM Manning, “Asymptotic level spacing of the Laguerre ensemble: A coulomb ﬂuid approach,” J. Phys. A: Math. Gen. vol. 27, (1994) 3615-3620.

27. 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.

26. Yang Chen and SM Manning, “Distribution of linear statistics in random matrix models,” J. Phys.: Cond. Matt., vol. 6, (1994) 3039-3044.

25. C Belcken, Yang Chen and KA Muttalib,

15 “Transitions in spectral statistics,” J. Phys. A: Math. Gen., vol. 27, (1994) L563-L586.

24. 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.

23. 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.

22. 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.

21. KA Muttalib, Yang Chen, MEH Ismail, VN Nicopoulos “New family of unitary random matrices,” Physical Review Letters, vol. 71, (1993) 471-475.

20. SM Manning and Yang Chen, “The Hall eﬀect in the normal state of the T-J model,” J. Phys.: Cond. Matt., vol. 5, (1993) L23-L28.

19. Yang Chen, MEH Ismail and KA Muttalib, “A solvable random matrix model for disordered conductors,” J. Phys.: Cond. Matt., vol. 4, (1992) L417-L423.

18. 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.

17. Yang Chen and DKK Lee, “Momentum distribution of electrons in the T-J model,” J. Phys.: Cond. Matt., vol. 4, (1992) L461-L466.

16. Yang Chen and D Forster, “T-J model in its normal state,” Physical Review B, vol. 45, (1992) 938-944.

15. DKK Lee and Yang Chen, “X-ray response of the Luttinger model,” Physical Review Letters, vol. 69, (1992) 1399- 1402.

14. Yang Chen and J Kroha, “X-Ray-Photoemission spectra of impure simple metals,” Physical Review B, vol. 46, (1992) 1332-1337.

13. Yang Chen and D Forster, “On the normal state of the T-J model,” Solid state Comm., vol. 80, (1991) 353-357.

16 12. Yang Chen and NV Prokofev, “ Classical mechanics at T = 0: Mobility of negative-ion in He-3,” Physical Review Let- ters, vol. 65, (1990) 1761-1764.

11. Yang Chen, “Holes in anti-ferromagnets: Pairing interaction,” Physical Review B, vol. 42, (1990) 6769-6772.

10. Yang Chen, “Holes in Heisenberg anti-ferromagnets,” Physical Review B, vol. 41, (1990) 9495-9498.

9. Yang Chen and TC Li, “Degenerate spin-Boson system,” Physical Review B, vol. 40, (1989) 2712-2715.

8. Yang Chen and RA Guyer, “A polymer in fractal pore space,” J. Phys. A: Math. Gen., vol 21, (1988) 4173-4181.

7. DKK Lee and Yang Chen, “Functional bosonization of the Tomonaga-Luttinger model,” J. Phys. A: Math. Gen., vol. 21, (1988) 4155-4171.

6. 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.

5. SF Edwards and Yang Chen, “The statistics of polymers on rough surfaces,” J. Phys. A: Math. Gen., vol. 21, (1988) 2963-2969.

4. Yang Chen and AL Kholodenko, “Size of a polyelectrolyte chain in solution containing counter-ions,” Journal of Chemical Physics, vol. 86, (1987) 1540-1541.

3. Yang Chen and M Muthukumar, “Free energy of a macromolecule in a conﬁned domain,” Physical Reviews B, vol. 33, (1986) 6187-6190.

2. Yang Chen and RA Guyer, “Self-avoiding walks on a crumpled fractal,” Physical Review Letters, vol. 57, (1986) 3121.

1. Yang Chen, DS Guo and FJ Ernst, “Charged spinning mass ﬁeld involving rational functions,” J. Math. Phys., vol. 24, (1983) 1564-1567.