馬超*
教授
所在部門 工程科學系
辦公室 A424
電子信箱 cma@must.edu.mo

Academic Qualification

Ph.D. in Wuhan University

 

Teaching Area

Calculus

Linear Algebra

Advanced Mathematics

Medical Statistics

 

Research Area

Fractal Geometry and its Applications

 

Working Experience

Jul. 2022 ~ present, Professor, Department of Engineering and Science, Faculty of Innovation Engineering, MUST

Jul. 2013 ~ present, Program Co-ordinator of Maths Team, DGE-FIE, MUST

Jul. 2015 ~ Jun. 2022, Associate Professor, Faculty of Information Technology, MUST

Sep. 2007 ~ Jun. 2015, Assistant Professor, DGE, MUST

Sep. 2005 ~ Aug. 2007, Postdoctoral Fellow, Nanjing University

 

Academic Publication (selected)

1.          Y. Han, S.Xu and C.Ma*,  Generalized Kannan-type contraction and  xed point theorems, Appl. Math. J. Chinese Univ.2023, 38(2): 235-247.

2.          C.Ma,S.Pei,and et al, Disparity estimation based on fusion of vision and LiDAR, International Journal of Wavelets, Multiresolution and Information Processing, 2022,Vol. 20, No. 05, 2250014.

3.          Q.Xiao, C.Ma and S.Wang, On the Eventually Periodic Continued β-Fractions and Their Lévy Constants, Mathematics, Basel Vol. 10, Iss. 1, (2022): 127.

4.          C.Ma, L.Shen, and et al, Synaptic clef segmentation method based on fractal dimension for ATUM-SEM image of mouse cortex, International Journal of Wavelets, Multiresolution and Information Processing, 2022, Vol. 20, No.01, 2150038.

5.          L.Huang, C.Ma*, A dimensional result on the product of consecutive partial quotients in continued fractions, Journal of the Australian Mathematical Society, Oct  2021, 113(3), 357-385.

6.          M. Zhang, C.Ma*, On the exceptional sets concerning the leading partial quotient in continued fractions, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, AUG,2021,500(1), p.125110.

7.          Y.Han, C.Ma*, Uniform Diophantine approximation to Cantor series expansion. FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2021, Vol. 29, No. 07, 2150206.

8.          F.Jing C.Ma and S.Wang, Metric theorems for continued β-fractions, Monatsh Math (2019). 190, pages 281–299.

9.          C.Ma, B.Wang and J.Wu, Diophantine Approximation of the Orbits in Topological Dynamical Systems, Discrete and Continuous Dynamical Systems,May 2019, 39(5): 2455-2471.

10.      C.Ma*, S.Zhang, Jarnik's Theorem Without the Monotonicity on the Approximating Function, FRACTALSCOMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, Jun 2019,27(4),

11.      H.Deng, C.Ma* and et al, Semi-supervised learning using autodidactic interpolation on sparse representation based multiple one-dimensional embedding, International Journal of Wavelets, Multiresolution and Information Processing, 2019, 17(3), 1950014.

12.      H.Deng, C.Ma* and et al, A Method for Identification of Multisynaptic Boutons in Electron Microscopy Image Stack of Mouse Cortex, Appl. Sci. Jul 2019, 9(13), 2591;10.3390/app9132591.

13.      Y.Chen,C.Ma* and J.Wu, Moving Recurrent Properties for the Doubling Map on the Unit Interval,Discrete and Continuous Dynamical Systems,Vol.36,no.6,June 2016,2969-2979.

14.      C. Ma, S.Wang, Dynamical Diophantine approximation of beta expansions of formal Laurent series, Finite Fields and Their Applications, Volume 34, July 2015, Pages 176–191.

15.      S.Xu, C.Ma* and Z.Zhou, A New Fixed Point Theorem of Quasi-Contractions on Cone Metric Space, Acta Sci. Nat. Uni. Sunyatseni, Vol.54, no.4, 2015.

16.      B. Li, C. Ma*, Finite and Infinite Arithmetic Progressions Related to Beta-Expansion, Abstract and Applied Analysis, Vol.2014, Article ID 678769, 6 pages.

17.      Q.Xie, C.Ma* and et al,, Image Fusion Based on the Delta^(-1)-TV0 Energy Function, Entropy, 2014, 16, 6099-6115.

18.      C. Ma, Q.Xie and H.Han, The Error-Sum Function of β Expansion, Mathematics in Practice and Theory, Vol.41, no.7, 2011,235-238.

19.      C. Ma*,Y.Su Inhomogeneous Diophantine approximation over the field of formal Laurent seriese, Finite Fields and Their Applications, Volume 14, Issue 2, April 2008, 361-378.

 

Research Grants

Fractal Dimension and Diophantine Approximation over the fields of formal series, FDCT, PI(MA CHAO),2012-2015.

Dimension Problems in Dynamical systems,FDCT, PI(MA CHAO),2015-2018.

Fractal dimensions of covering set and first return rate in dynamical systems, FDCT, PI(MA CHAO), 2018-2021.

The Multifractal Spectrum for Cantor Series Expansions FDCT, PI(MA CHAO), 2021-2024.