77779193永利(集团)有限公司官网

张圆

English Version (英文版)

职称副教授
办公室六号楼 M411
邮箱yzhang@mail.ccnu.edu.cn

个人简介

开设课程

研究方向

分形几何和Tiling理论

教育经历

2005.09-2009.06 湖北师范大学 本科 
2009.09-2012.06 华中师范大学 硕士 基础数学 导师：饶辉教授 
2012.09-2015.06 华中师范大学 博士 基础数学 导师：饶辉教授

工作经历

2021.07至今 77779193永利集团 副教授
2017.06-2021.06 77779193永利集团 讲师
2015.07-2017.05 华中科技大学 博士后 基础数学 合作导师：吴军教授

研究成果

[1]A. H. Fan, H. Rao, Y. Zhang*, Higher dimensional Frobenius problem: Maximal saturated cone, growth function and rigidity, J. Math. Pures Appl. (3) 104 (2015), 533-560.

[2]H. Rao, Y. Zhang*, Higher dimensional Frobenius problem and Lipschitz  equivalence of Cantor sets,  J. Math. Pures Appl. (9) 104 (2015), no. 5, 868–881.
    
 [3]Y. Zhang*, Topological structure of a class of planar self-affine sets, J. Math. Anal. Appl. 446 (2017), no. 2, 1524–1536.    

[4]Yang Ya-min, Zhang Yuan. Tilings of convex polyhedral cones and topological properties of self-affine tiles. Discrete & Computational Geometry. 68(2021): 876-901.                        

[5]Yang Ya-min, Zhang Yuan*. Lipschitz classification of Bedford-McMullen carpets with uniform horizontal fibers. J. Math, Anal. Appl. 495(2021): 124742.

[6]Zhang Yuan, Huang Liang-yi. Relations between topological and metrical properties of self-affine Sierpinski sponges. J. Math. Anal. Appl. 514(2022): 126295.

[7]Huang Liang-yi, Zhang Yuan*. A dichotomy of strong open set condition of self-conformal sets. Fractals, 30(2022): 2250167.

[8]Yuan Qi-han, Zhang Yuan*. Constructing Whitney sets via IFS with condensation. J. Math. Anal. Appl. 514(2022): 126211.

[9]Yang Ya-min, Zhang Yuan*. Constructing bi-Lipschitz maps between Bedford-McMullen carpets via symbolic spaces. J. Math. Anal. Appl. 528(2023): 127514.

[10]Yang Ya-min, Yuan Qi-han, Zhang Yuan*. Doubling properties of self-similar measures and bernoulli measure on self-affine Sierpinski sponges. accepted by Indiana Univ. Math. J.

[11]Rao Hui, Yang Ya-min, Zhang Yuan*. Characterization of complementing pairs of , accepted by Asian Journal Math.

研究项目

主持国家自然科学基金青年基金(11601172): 高维Frobenius问题和自相似集的Lipschitz等价，2017.01-2019.12（19万）

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