数学系
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张振亮

职称:副教授

系部:数学系

办公室:汇贤楼B栋213-2

办公电话:

邮箱:zhliang_zhang@cqnu.edu.cn

研究方向

分形几何与度量数论

主讲课程

高等数学、高等代数选讲、初等代数研究

代表论著

1. M. Hussain, N. Shulga and Z. L. Zhang, Hausdorff dimension for the set with exponentially growing digits in their Lüroth expansion, Discrete Contin. Dyn. Syst. 44(6) (2024), 1747-1767.

2. Z. L. Zhang, X. Liao, X.Y. Tan, The convergence exponent and the well approximated sets for Lüroth expansion, J. Math. Anal. Appl. 535(1) (2024), Paper No. 128217.

3. K.K. Song, X. Y. Tan, Z. L. Zhang, Irrationality exponent and convergence exponent in continued fraction expansions, Nonlinearity 37(2)(2024), Paper No. 025014.

4. X. Y. Tan, J. Liu, Z. L. Zhang, Relative convergence speed of Lüroth expansions and Hausdorff dimension. Int. J. Number Theory 18(5) (2022), 977–997.

5. M.Y. Lü, Z.L. Zhang, On the increasing partial quotients of continued fractions of points in the plane. Bull. Aust. Math. Soc., 105(3) (2022), 404–411.

6. Y. Bugeaud, L. Singhal, Z.L. Zhang, Inhomogeneous Diophantine approximation over fields of formal power series. Math. Scand. 126(3) (2020), 451–478.

7. X.Y. Tan, Z.L. Zhang, The relative growth rate for the digits in Lüroth expansions, C. R.Acad.Sci.Paris,Ser.I, 358(2)(2020), 557-562.

8. Y. Bugeaud, Z.L. Zhang, On homogeneous and inhomogeneous Diophantine approximation over the fields of formal power series, Pacific J. Math., 302(2) (2019), 453-480.

主持项目

1、重庆市教委青年项目,非齐次丢番图逼近的分形结构研究(KJQN202100528), 2021.10.1-2024.9.30,主持;’

2、重庆市科委面上项目,一致丢番图逼近的分形结构研究(CSTB2022NSCQ-MSX1255), 2022.08.01-2025.07.31,主持;

3、国家自然科学基金青年科学基金,连分数与整数进制下的丢番图逼近与正规(No.11501168),2016.1.1-2018.12.31,主持;

4、国家自然科学基金天元基金,精确Diophantine逼近及其相关问题的若干研究(No.11326206),2014.1.1-2014.12.31,主持;