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个人简介

教育背景 2013-2018:复旦大学, 博士 2009-2013:内蒙古大学,本科 工作经历 2020-至今:四川大学, 特聘副研究员(硕导) 2018-2020:北京大学,(博雅)博士后

研究领域

(1).数学物理:随机薛定谔算子、拟周期薛定谔算子以及具有遍历位势非线性薛定谔方程的安德森局域化非局域化相变理论 (2).动力系统:哈密顿系统KAM理论

近期论文

查看导师新发文章 (温馨提示:请注意重名现象,建议点开原文通过作者单位确认)

[1].Yunfeng Shi. Power-law localization for almost periodic operators: A Nash-Moser iteration approach,arXiv: 2201.07405 [2]. Hongzi Cong andYunfeng Shi. Diffusion bound for the nonlinear Anderson model,arXiv: 2008.10171 [3]. Xiaolong He, Jia Shi,Yunfeng Shiand Xiaoping Yuan. On the linear stability of KAM tori via Craig-Wayne-Bourgain method,arXiv: 2003.01487 [4].Yunfeng Shi. Spectral theory of multi-frequency quasi-periodic operator with a Gevrey type perturbation,Journal d'Analyse Mathematique(to appear) [5].Yunfeng Shi. Absence of eigenvalues of analytic quasi-periodic Schrodinger operators on R^d, Comm. Math. Phys.386 (2021) 1413-1436 [6].Yunfeng Shi. A multi-scale analysis proof of power-law localization for random operators on Z^d,J. Differential Equations297 (2021) 201-225 [7]. Hongzi Cong,Yunfeng Shiand Zhifei Zhang. Long-time Anderson Localization for the nonlinear Schrodinger equation revisited,J. Stat. Phys.182 (2021), no. 1, 10 [8]. Svetlana Jitomirskaya, Wencai Liu andYunfeng Shi. Anderson localization for multi-frequency quasi-periodic operators on Z^d,Geom. Funct. Anal. (GAFA)30 (2020) 457-481 [9].Yunfeng Shi. Analytic solutions of nonlinear elliptic equations on rectangular tori,J. Differential Equations267 (2019) 5576-5600 [10]. Hongzi Cong, Jianjun Liu,Yunfeng Shiand Xiaoping Yuan. The stability of full dimensional KAM tori for nonlinear Schrodinger equation,J. Differential Equations264 (2018) 4504-4563

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