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Basic： The work of the applicant focuses on the modern theory of nonlinear dynamical system and its intersection and integration with mathematical physics, probability theory, information theory, cybernetics, graph theory and so on. The research results are involved in many directions, such as ergodic optimization, thermodynamic mechanism, geometric measure theory, characterization of cell biological phenomena and the mathematical mechanism of celestial body operation. Since October 2012, the applicant has presided over the Chilean National Ministry of education fund a youth project of National Natural Science Foundation of a university directly under the Ministry of education foreign experts annual hiring plan, and was elected to the Hubei Province youth project, and participate in the Swedish National Natural Science Foundation of a British National Natural Science foundation EPSRC. |
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Scientific achievements： 1.Holland Mark and Zhang Yiwei. Dimension results for inhomogeneous Moran set constructions. Dyn. Syst. 28 (2013), no. 2, $222-250$.
2.Byott Nigel P., Holland Mark, and Zhang Yiwei. On the mixing properties of piecewise expanding maps under composition with permutations. Discrete Contin. Dyn. Syst. 33 (2013), no. 8, $3365-3390$.
3.Zhang Yiwei and Lin Congping. Invariant measures with bounded variation densities for piecewise area preserving maps. Ergodic Theory Dynam. Systems 33 (2013), no. 2, $624-642$.
4.Lin Congping, Zhang Yiwei, Sparkes Imogen, and Peter Ashwin.Structure and Dynamics of ER: Minimal Networks and Biophysical Constraints}. Biophysical Journal. 107 (2014), no. 3, $763-772$.
5. Bochi Jairo and Zhang Yiwei. Ergodic optimization of prevalent super-continuous functions}. International maths research notices 2016, no. 19, 5988-6017..
6. Byott Nigel P., Lin Congping and Zhang Yiwei. On the mixing properties of piecewise expanding maps under composition with permutations II:Maps of non-constant orientation. Stoch. Dyn. 16 (2016), no. 3, 1660013, 23 pp.
7. Ana Rodrigues,Yiwei Zhang.Fair measure and fair entropy for non-Markov interval maps. Stoch. Dyn16:1660013 2016.
8.Simulations of Fractal Star Cluster Formation: I. A New Method for Measuring Mass Segregation of Star Clusters with Sub-Structure, Yu Jincheng, Thomas Puzia, Congping Lin and {\bf Yiwei Zhang}. The Astrophysical Journal, 2017,Volume 840, Number 2
9.Jiaojiao Yang,Min Wu,and Yiwei Zhang.Quasi-Lipschitz for correlation dimensions and local dimensions in Moran constructions}. , Chaos, solition and fractal journal.\https://doi.org/10.1016/j.chaos.2017.10.037~~2017. |
