张仑 ZHANG, Lun
教授 Professor
Office: 光华楼东主楼 2122
Phone: 021-55665565
E-mail: lunzhang@fudan.edu.cn
博士,香港城市大学,数学系,2006年 - 2009年
PhD, Mathematics, City University of Hong Kong, 2009
随机矩阵理论 Random Matrix Theor
可积系统 Integrable Systems
逼近理论 Approximation Theory
复旦大学数学科学学院,教授,2019年12月 - 至今
Professor, School of Mathematical Sciences, Fudan University, 2019.12 - present
复旦大学数学科学学院,副研究员,2013年08月 - 2019年12月
Junior Researcher, School of Mathematical Sciences, Fudan University, 2013.08 - 2019.12
比利时荷语鲁汶大学,博士后,2009年07月 - 2013年08月
Postdoctoral Researcher, KU Leuven, 2009.07 - 2013.08
《高等数学B》;《随机矩阵理论》;《数据科学中的现代逼近方法》;《渐近分析方法》
随机矩阵理论中Fredholm行列式研究(12271105),国家自然科学基金委面上项目,主持,2023年01月 - 2026年12月
随机矩阵理论中若干问题的研究(21SG06),上海市教育发展基金会与上海市教育委员会,曙光计划,主持,2022年01月 - 2024年12月
(with T.-Y. Xu and Y.-L. Yang) Transient asymptotics of the modified Camassa-Holm equation, to appear in Journal of the London Mathematical Society.
(with L.-M. Yao) On the gap probability of the tacnode process, Advances in Mathematics 438 (2024), 109474, 85pp.
(with L.-M. Yao) Asymptotics of the hard edge Pearcey determinant, SIAM Journal on Mathematical Analysis 56 (2024), 137-172.
(with L. Huang) Higher order Airy and Painlevé asymptotics for the mKdV hierarchy, SIAM Journal on Mathematical Analysis 54 (2022), 5291-5334.
(with D. Wang) A vector Riemann-Hilbert approach to the Muttalib-Borodin ensembles, Journal of Functional Analysis 282 (2022), 109380, 84pp.
(with D. Dai and S.-X. Xu) On the deformed Pearcey determinant, Advances in Mathematics 400 (2022), 108291, 64pp.
(with D. Dai and S.-X. Xu) Asymptotics of Fredholm determinant associated with the Pearcey kernel, Communications in Mathematical Physics 382 (2021), 1769-1809.
(with G. L. F. Silva) Large n limit for the product of two coupled random matrices, Communications in Mathematical Physics 377 (2020), 2345-2427.
(with A. Kuijlaars) Singular values of products of Ginibre random matrices, multiple orthogonal polynomials and hard edge scaling limits, Communications in Mathematical Physics 332 (2014), 759-781.
(with S. Delvaux and A. Kuijlaars) Critical behavior of non-intersecting Brownian motion at a tacnode, Communications on Pure and Applied Mathematics 64 (2011), 1305-1383.
上海高校特聘教授(东方学者),中共上海市教育卫生工作委员会,上海市教育委员会,2013年(2017年入选跟踪计划)