苗俊杰,华东师范大学, 数学科学学院, 副教授, 博士生导师
教育经历
(1)2005-10 至 2009-1, 圣安德鲁斯大学, 基础数学, 博士
(2)2004-9 至 2005-9, 伦敦国王学院, 应用数学, 硕士
(3)1997-9 至 2001-7, 鞍山钢铁学院, 计算数学, 学士
科研与学术工作经历
(1)2013-01 至今, 华东东师范大学, 数学科学学院, 副教授
(2)2017-09 至 2018-02, 清华大学 (学术访问), 数学科学系, 副教授
(3)2014-01 至 2015-02, 美国密歇根州立大学 (学术访问), 概率统计系, 副教授
(4)2009-06 至 2012-12, 华东师范大学, 数学系, 讲师
讲授课程
(1)数学分析,实分析,复分析,泛函分析
(2)概率论,随机过程,分形几何,动力系统
研究方向
(1)分形几何
(2)动力系统
已发表论文
1. Jiang, K.; 苗俊杰and Xi, L. Discrete fractals: Dimensions, quasi-isometric invariance and self-similarity, Adv. Math. 448(2026), 110791
2. 苗俊杰and Zhao, H. Existence and spectrality of infinite convolutions generated by infinitely many admissible pairs. J. Fourier Anal. Appl. 32(2026), 12.
3. 苗俊杰and Zhao, H. Spectral properties of infinite convolutions generated by complete residue systems. Forum Math. 38(2026) no. 4, 1009-1026.
4. 苗俊杰and Wang, T. Dimensions and dimension spectra of non-autonomous iterated function systems J. Math. Anal. Appl. 556(2026) 130136.
5. Liang, Z.; 苗俊杰and Ruan, H. Gap sequences of Bara´nski sets. J. Math. Anal. Appl. 551(2025) 1, 129640.
6. Gu, Y.; Hou, C. and 苗俊杰. Dimensions of a class of nonautonomous carpets and measures in R2. J. Fractal Geom. 1 (2025) no. 1, 32 pp.
7. Li, W.; 苗俊杰and Wang, Z. Spectrality of Infinite Convolutions and Random Convolutions. J. Funct. Anal. 287 (2024),no. 7, Paper No. 110539, 35 pp.
8. Li, W.; 苗俊杰and Wang, Z. Spectrality of random convolutions generated by finitely many Hadamard triples. Nonlinearity 37 (2024), Paper No. 015003, 21 pp.
9. Li, W.; 苗俊杰and Wang, Z. Weak convergence and spectrality of infinite convolutions. Adv. Math. 404 (2022), Paper No. 108425, 26 pp.
10. Liang, Z.; 苗俊杰and Ruan, H. Gap sequences and topological properties of Bedford-McMullen sets. Nonlinearity 35 (2022), no. 8, 4043–4063.
11. Gu, Y. and 苗俊杰. Dimensions of a class of self-affine Moran sets. J. Math. Anal. Appl. 513 (2022), no. 1, Paper No. 126210, 24 pp.
12. Hou, C. and 苗俊杰. Doubling properties of self-affine measures supported on Gatzouras-Lalley. Fractals 27 (2019), 1-11.
13. Fraser, J. M.; 苗俊杰and Troscheit, S. The Assouad dimension of randomly generated fractals. Ergodic Theory Dynam. Systems 38 (2018), no. 3, 982–1011.
14. 苗俊杰; Xi, L. and Xiong, Y. Gap sequences of McMullen sets. Proc. Amer. Math. Soc. 145 (2017), no. 4, 1629–1637.
15. 苗俊杰and Munday, S. Derivatives of slippery devil’s staircases. Discrete Contin. Dyn. Syst. Ser. S 10 (2017), 353-365.
16. Du, Y.; 苗俊杰and Wu, M. Level sets and equivalences of Moran-type sets. Acta Math. Sci. Ser. B (Engl. Ed.) 36 (2016), no. 5, 1343–1357.
17. Li, W.; Li, W.; 苗俊杰and Xi, L. Assouad dimensions of Moran sets and Cantor-like sets. Front. Math. China 11 (2016), no. 3, 705–722.
18. Du, Y.; 苗俊杰; Wu, D. and Xiao, Y. Packing dimensions of the images of Gaussian random fields. Statist. Probab. Lett. 106 (2015), 209–217.
19. 苗俊杰and Wu, X. Generalized q-dimension of measures on Heisenberg self affine sets in the Heisenberg group. Nonlinearity 28 (2015), no. 8, 2939–2957.
20. Li, B.; Li, W. and 苗俊杰. Lipschitz equivalence of McMullen sets. Fractals 21 (2013), no. 3-4, 1350022, 11 pp.
21. Falconer, K. and 苗俊杰. Random subsets of self-affine fractals. Mathematika 56 (2010), no. 1, 61–76.
22. Falconer, K. and 苗俊杰. Exceptional sets for self-affine fractals. Math. Proc. Cambridge Philos. Soc. 145 (2008), no. 3, 669–684.
23. Falconer, K. and 苗俊杰. Dimensions of self-affine fractals and multifractals generated by upper-triangular matrices. Fractals 15 (2007), no. 3, 289–299.