Zhiyong Zhu

　　 　　

1. Basic information

Zhiyong Zhu，Male, Associate Professor, Mastor supervisor.

Education Experience:

Received a doctor's degree in June2011, a mastor’s degree in June 2008, a bachelor's degree in June 1998.

09/2017-10/2018, Visiting Scholar, Georgia Southern University, USA.

Work Experience:

07/2011-12/2016 , Assistant Professor.

01/2017-, Associate Professor.

2. Areas of Research

Field of Specialization:  Fractal geometry.

Research Topics: Lipschitz equivalence, iterated function systems, fractal dimension, analysis on fractals, spectral analysis on fractal networks.

3. Teching

Undergraduate: Calculus, Probability theory and mathematical statistics

Postgraduate: Measure Theory, Fractal Geometry-Mathematical Foundations and Applications

4.Academic Achievements

Research Grants:

l Shaanxi Natural Science Foundation of China, Further study on the Assouad dimension of Moran sets, PI, 01/2022-12/2023.

l Shaanxi Natural Science Foundation of China, Lipschitz equivalence and application of general Sierpinski fractals, PI, 01/2017-12/2019.

l Chinese Universities Scientific Fund, Classification and application of non-dust self-similar sets with like-Moran structure, PI, 05/2012-05/2015.

l Doctoral Scientific Research Foundation of Northwest A&F University, Lipschitz equivalence of Ahlfors regular sets with like-Moran structure, PI, 01/2011-12/2013.

l Chinese National Natural Science Foundation, Study on some problems in special function theory, Co-I, 01/2018-12/2021.

l Chinese National Natural Science Foundation, Study on frequency synchronization of typical coupled oscillators with symmetry breaking, Co-I, 01/2017-12/2019.

l Chinese National Natural Science Foundation, The structure of self similar sequence and related fractal set, spectral measure and dimension, Co-I, 01/2011-12/2013.

l Shannxi Natural Science Foundation of China, The optimal control problem of stochastic delay equation and the viscous solution of the second order HJB equation, Co-I, 01/2014-12/2015.

Publications

[1] Zhiyong Zhu*, Separation properties for bi-Lipschitz iterated function systems,  Fractals 30 (2022) 2250098.

[2] Zhiyong Zhu*, Assouad Dimensions of Moran sets with zero Infimum Contraction,  Fractals 29 (2021) 2150104.

[3] Zhiyong Zhu*, Approximating graphs of a class of general Sierpinski triangles and their normalized Laplacian spectra,  Journal of Algorithms & Computational Technology  15(2021)1-13.

[4] Chih-Yung Chu(Zhiyong Zhu) and Sze-Man Ngai*, Dimensions in infinite iterated function systems consisting of bi-Lipschitz mappings,  Dynamical Systems 35(2020)549-583.

[5] Zhiyong Zhu* and Enmei Dong, Dimensions of multitype Moran sets with lower limit of the contractions being zero,  J. Math. Anal. Appl.  484 (2020) 123699.

[6] Zhi-Yong Zhu* and En-Mei Dong, Random cutouts of the uite cube with i.u.d centers,   Real Analysis Exchange  , 43(1)(2018):205-220.

[7] Zhiyong Zhu* and Enmei Dong, Lipschitz equivalence of fractal triangles,  J. Math. Anal. Appl. 433 (2016) 1157-1176.

[8] Zhiyong Zhu*, Lipschitz equivalence of totally disconnected general Sierpinski triangle,  Fractals 23 (2015) 1550013.

[9] Zhixiong Wen, Zhiyong Zhu* and Guo-Tai Deng, Lipschitz equivalence of a class of general Sierpinski carpets,  J.   Math.   Anal.   Appl. 385 (2012) 16-23.

[10] Zhiyong Zhu, Ying Xiong and Lifeng Xi*, Lipschitz equivalence of self-similar sets with triangle pattern,  Sci. China Ser. A. 54 (2011) 1019-1026.

5. Contact Information

Address: School of science, Northwest A&F University, Yangling, Shannxi, 712100, P. R. China

E-mail： zhuzy1011@nwafu.edu.cn