徐帅侠



基本情况
徐帅侠，现任中法核工程与技术学院教授，博士生导师
联系邮箱 ???xushx3@mail.sysu.edu.cn
教育背景
2006-2011：中山大学数学与计算科学学院，理学博士
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研究方向
渐近分析、 Riemann-Hilbert 问题、随机矩阵、Painlevé 方程
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科研项目
1. 2020-01至2023-12，主持国家自然科学基金面上项(**)：Painlevé函数与随机矩阵普适性理论研究
2. 2016-01至2019-12，主持国家自然科学基金面上项(**)：奇异幺正系综Riemann-Hilbert分析
3. 2013-01至2015-12，主持国家青年科学基金项目(**): Riemann-Hilbert方法和随机矩阵谱分析中的Painlevé 渐近
4. 2016年入选广东省特支计划百千万工程青年拔尖人才（）
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已发表论文
(with Dan Dai and Lun Zhang) Asymptotics of Fredholm Determinant Associated with the Pearcey Kernel，Communications in Mathematical Physics, 382 (2021), 1769-1809.
(with Yu-Qiu Zhao) Gap probability of the circular unitary ensemble with a Fisher-Hartwig singularity and the coupled Painlevé V system, Communications in Mathematical Physics, 377 (2020), no. 2, 1545-1596.
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(with Dan Dai and Lun Zhang) On integrals of the tronquée solutions and the associated Hamiltonians for the Painlevé II equation,Journal of Differential Equations, 269 (2020), no. 3, 2430-2476.
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(with Dan Dai )Tracy-Widom distributions in critical unitary random matrix ensembles and the coupled Painlevé II system，Communications in Mathematical Physics, 365 (2019), no. 2, 515-567.
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(with Dan Dai and Lun Zhang)Gaussian unitary ensembles with pole singularities near the soft edge and a system of coupled Painlevé XXXIV equations,Annales Henri Poincaré, 20 (2019), no. 10, 3313-3364.
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(with Dan Dai and Lun Zhang) Gap probability at the hard edge for random matrix ensembles with pole singularities in the potential，?SIAM Journal of Mathematical Analysis, 50 (2018), no. 2, 2233-2279.
(with Zhi-Tao Wen and Roderick Wong) Global asymptotics of orthogonal polynomials associated with a generalized Freud weigh，Chinese Annals of Mathematics. Series B,39 (2018), no. 3, 553-596.
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(with Xiao-Bo Wu and??Yu-Qiu Zhao)?Gaussian unitary ensemble with boundary spectrum singularity and σ-form of the Painlevé II equation,Studies in Applied Mathematics, 140 (2018), 221-251.?
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(with Min Huang and Lun Zhang) Location of poles for the Hastings-McLeod solution to the second Painlevé equation，Constructive Approximation，
43 (2016)，no. 3, 463-494.

(with Xiao-Bo Wu, Yu Lin and Yu-Qiu Zhao) Uniform asymptotics for discrete orthogonal polynomials on infinite nodes with an accumulation point,?Analysis and Applications, 14 (2016), 705-737.?
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(with Xiao-Bo Wu, Yu Lin and Yu-Qiu Zhao) Plancherel-Rotach type asymptotics of the sieved Pollaczek polynomials via the Riemann-Hilbert approach,?Journal of Approximation Theory, 208 (2016), 21-58.?
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(with Dan Dai and Yu-Qiu Zhao) Hankel determinants for a singular complex weight and the first and third Painlevé transcendents,Journal of Approximation Theory,?205 (2016), 64-92.?
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(with Zhao-Yun Zeng and Yu-Qiu Zhao) Painlevé III asymptotics of Hankel determinants for a perturbed Jacobi weight,Studies in Applied Mathematics, 135 (2015), 347-376.
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(with Yu-Qiu Zhao) Critical edge behavior in the modified Jacobi ensemble and Painlevé equations, Nonlinearity, 28 (2015), 1633-1674.?
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(with Dan Dai and Yu-Qiu Zhao) Painlevé III asymptotics of Hankel determinants for a singularly perturbed Laguerre weight,Journal of Approximation Theory, 192 (2015) 1-18.?
(with Dan Dai and Yu-Qiu Zhao) Critical edge behavior and the Bessel to Airy transition in the singularly perturbed Laguerre unitary ensemble, Communications in Mathematical Physics, 332 (2014), no. 3, 1257-1296.
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(with Yutian Li, Saiyu Liu and Yu-Qiu Zhao) Asymptotics of Landau constants with optimal error bounds, Constructive Approximation，40 (2014), 281-305.
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(with Yu-Qiu Zhao) Critical edge behavior in the modified Jacobi ensemble and the Painlevé V transcendents, Journal of Mathematical Physics, 54 (2013), 083304, 29 pp.?
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(with Yu-Qiu Zhao) Asymptotics of discrete Painlevé V transcendents via the Riemann-Hilbert approach, Studies in Applied Mathematics, 130 (2013), 201-231.?
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(with Yutian Li, Saiyu Liu and Yu-Qiu Zhao) Full asymptotic expansions of the Landau constants via a difference equation approach, Applied Mathematics and Computation, 219 (2012), 988-995.?
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(with Jian-Rong Zhou and Yu-Qiu Zhao ) Uniform asymptotics of a system of Szego class polynomials via the Riemann-Hilbert approach,Analysis and Applications, 9 (2011), 447-480.
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(with Yu-Qiu Zhao and Jian-Rong Zhou) Universality for eigenvalue correlations from the unitary ensemble associated with a family of singular weights, Journal of Mathematical Physics, 52 (2011), 093302, 14 pp.
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(with Yu-Qiu Zhao) Painlevé XXXIV asymptotics of orthogonal polynomials for the Gaussian weight with a jump at the edge, Studies in Applied Mathematics, 127 (2011), 67-105.
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(with Yu-Qiu Zhao) Resurgence relation and global asymptotic analysis of orthogonal polynomials via the Riemann-Hilbert approach, Science China. Mathematics, 54 (2011), 661-679.

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